Alexander Abian



Publications
 
 

1. On the Foundations of Projective Differential Geometry. Annals of University of Jassy, Sec. 1, Vol. 3, Fasc. 102 (1957), 1-42.
 
 

2. Some properties of Skew-Symmetric Elements of A Ring. Proceedings of the Cambridge Philosophical Society, Vol. 53, Part 3, (1958), 549-553.
 
 

3. A General Definition of Convergence, Continuity, Differentiability and Integrability. Mathematische Annalen, Band 124, Heft 1, (1957), 93-94.
 
 

4. Functional Invariants of Linear Homogeneous Integro-Differential Equations. Duke Mathematical Journal, Vol. 25, No. 4, (1958), 547-552.
 
 

5. On the Solution of the Differential Equation f(x,y,y(1),...,y(n)) = 0. Bollettino della Unione Matematica Ilaliana, (3), Vol. 13, (1958), 383-394.
 
 

6. On the Solution of the Differential Equation f(x,y,y') = 0 (with A. B. Brown). American Mathematical Monthly, Vol. LXVI, No. 3, (1959), 192-199.
 
 

7. On the Solution of Simultaneous First Order Implicit Differential Equations. Mathematische Annalen, Band 137, Heft 1, (1959), 6-16.
 
 

8. On the Solution on the Equation g(x) = 0. Portugaliae Mathematica, Vol. 18, Fasc. 2, (1959), 101-106.
 
 

9. On the Solution of an Implicit Equation (with A. B. Brown). Illinois Journal of Mathematics, Vol. 3, No. 3, (1959), 274-380.
 
 

10. On the Solution of Simultaneous Implicit Equations. L'Enseignment Mathematique, 2nd Series Vol. 5, Fasc. 2 (1959), 107-114.
 
 

11. On the Solution of an Arbitrary System of Linear Equations (with E. Mendelson). Mathematische Annalen, Band 140, Heft 3, (1960), 245-248.
 
 

12. On the Solution of an Implicit First Order Partial Differential Equation. Rendiconti del Circolo Matematico di Palermo, 2nd Series, Vol. 8 (1959), 271-296.
 
 

13. A Theorem on Partially Ordered Sets with Applications to Fixed Point Theorems (with A. B. Brown). Canadian Journal of Mathematics, Vol. 13, (1961), 78-82.
 
 

14. A Nowhere Differentiable and Except on a Denumerable Set Everywhere Continuous Function. Fundamenta Mathematicae, Vol. XLIX, (1961), 181-182.
 
 

15. A Proof and Extension of Brouwer's Fixed Point Theorem for the Closed 2-Cell. Bolletino della Unione Mathematica Italiana, (3), Vol. 16, (1961), 281-284.
 
 

16. A Fixed Point Theorem for the Closed 2-Cell. Portugaliae Mathematica, Vol. 21, Fasc. 2, (1962), 93-98.
 
 

17. A New Fixed Point Theorem for Continuous Maps of the Closed n-Cell (with A. B. Brown). L'Enseignment Mathematique, 2nd Series, Vol. 8, (1962), 34-40.
 
 

18. Fixed Points of Continuous Mappings into Euclidean n-Space (with A. B. Brown). Duke Mathematical Journal, Vol. 29, No. 4, (1962), 647-652.
 
 

19. Fixed Points and Covering Under Continuous Mappings of a Spherical Shell (with A. B. Brown). Duke Mathematical Journal, Vol. 29, No. 4, (1962), 653-656.
 
 

20. On Comparability of Sets. Mathematische Annalen, Band 149, Heft 4, (1963), 276-277.
 
 

21. On the Index of Nilpotency of Some Nil Algebras (with A. W. McWorter). Bollenttino della Unione Matematics Italiana, (3), Vol. 18, (1963), 252-255.
 
 

22. On the Cartesian Product of Sets. Rendiconti del Circolo Matematico di Palermo, 2nd Series, Vol. 12, (1963), 1-5.
 
 

23. On the Structure of Pre-p-Rings (with W. A. McWorter). American Mathematical Monthly, Vol. 71, No. 2, (1964), 155-157.
 
 

24. On the Lengths of Bases of Finitely Generated Abelian Groups. Bollettino della Unione Matematica Italiana, (3), Vol. 19, (1964), 12-15.
 
 

25. Honest Subgroups of Abelian Groups (with D. Rinehart). Rendiconti del Circolo Matematico di palermo, 2nd Series, Vol. 12, (1963), 1-4.
 
 

26. On the Equipollence of Sets. Portugaliae Matematics, Vol. 23, Fasc. 3, (1964), 147-156.
 
 

27. The Stone Space of a Boolean Ring. L'Enseignment Matematique, 2nd Series, Vol. 11, Fasc. 2-3, (1965), 194-198.
 
 

28. Some Consequences of the Axiom of Power-Set (with S. LaMaccia). Journal of Symbolic Logic, Vol. 30, No. 3, (1965), 293-294.
 
 

29. The Natural Topology of the Space of Sequences on Two Symbols. Journal of Mathematical Analysis and Applications, Vol. 13, No. 1, (1966), 93-101.
 
 

30. On Representation of Partially Ordered Sets (with D. Dever). Mathematische Zeitschrift, Band 92, (1966), 353-355.
 
 

31. On Uniform Structures. Rendiconti del Circolo Matematico di Palermo, 2nd Series, Vol. 14, (1965), 202-206.

32. A Short Proof of a Stronger Version of Popruzenko's Theorem (with D. Deever). Fundamenta Mathematicae, Vol. LIX, (1966), 71-72.
 
 

33. Representation of Partially and Simply Ordered Sets by Terminating Transfinite Sequences (with D. Deever). Bollettino della Unione Matematica Italiana, (3), Vol. 21, (1966), 371-376.
 
 

34. On Representation of Partially Ordered Sets (with D. Deever). Mathematische Annalen, Band 169, Heft 2, (1967), 328-330.
 
 

35. On the Minimal Length of Transfinite Sequences Representing Simply Ordered Sets (with D. Deever). Zeitscrift fur Mathematische Logik und Grundlagen der Mathematik, Band 13, (1967), 21-23.
 
 

36. A Theorem on Locally Connected Sets. Rendiconti del Cirolo Matematico di Palermo, 2nd Series, Vol. 14, (1965), 324-326.
 
 

37. On the Bounds of the Minimal Length of Sequences Representing Simply Ordered Sets (with D. Deever). Archiv fur Mathematische Logik und Grundlagenforschung, Heft 10/1-2, (1967), 3-5.
 
 

38. Examples of Generalized Sheffer Functions. Acta Mathematicae Scientiarum Hungericae. Vol. 18, 1-2, (1967), 189-190.
 
 

39. Some Generalized Sheffer Functions. Archiv fur Mathematische Logik und Grundlagenforschung. Heft 10/1-2, (1967), 6-7.
 
 

40. Representation of Simply Ordered Sets and the Generalized Continuum Hypothesis. Prace Matematyczne, Vol. XI (1967), 183-188.
 
 

41. On the Existence of an Empty Set in Set-Theoretical Models (with S. LaMacchia). Archiv fur Mathematische Logik und Grundlagenforschung. Heft 10/3-4, (1968), 123-126.
 
 

42. An Example of a Nonmeasurable Set. Bollettino della Unione Matematica Italiana (4), N. 3 (1968), 366-368.
 
 

43. Aleph Limit Points of Sets of Transfinite Dyadic Sequences. Revue Roumaine de Mathematiques Pures et Appliquees. No. 4, Vol. 13, (1968), 429-432.
 
 

44. A Fixed Point Theorem for Mappings. Journal of Mathematical Analysis and Applications. Vol. 24 (1968), 146-148.
 
 

45. A Fixed Point Theorem. Nieuw Archief voor Wiskunde (3), Vol. XVI (1968), 184-185.
 
 

46. On the Cofinality of Ordinal numbers. Mathematische Annalen. Vol. 179 (1969), 142-152.
 
 

47. On Definition of Cuts and Completion of Partially Ordered Sets. Zeitschrift fur Mathematische Logik und Grundlagen der Mathematik. Vol. 14 (1968), 299-302.

48. A Fixed Point Theorem for Nonincreasing Mappings. Bollettino della Unione Mathematica Italanna, (4), N. 2, (1969), 200-201.
 
 

49. On the Independence of Set-Theoretical Axioms. American Mathematical Monthly, Vol. 76, No. 7, (1969), 787-790.
 
 

50. On Inaccessible Cardinal Numbers. Archiv fur Mathematische Logik und Gundlagenforschung, Vol. 12, (1969), 99-103.
 
 

51. Direct Product Decomposition of Commutative Semisimple Rings. Proceedings of the American Mathematical Society, Vol. 24, No. 3 (1970), 502-507.
 
 

52. On the Solvability of Infinite Systems of Boolean Polynomial Equations. Colloquium Mathematicum, Vol. 21, (1970), 27-30.
 
 

53. A Short Proof of Stone's Theorem. Acta Mathematica Academiae Scientiarum Hungaricae, Vol. 21 (1970), 225-226.
 
 

54. Completeness of the Generalized Propositional Calculus. Notre Dame Journal of Formal Logi, Vol. 11, No. 4(1970), 449-452.
 
 

55. The Outer and Inner Measures of a Nonmeasurable Set. Bollettino della Unione Matematica Italiana N. 4(1970), 555-558.
 
 

56. On Some fundamental Properties of Cofinality of Ordinal Numbers. Bollettino della Unione Matematica Italiana N. 4(1970), 559-562.
 
 

57. Direct-sum Decomposition of Atomic and Orthogonally Complete Rings. Journal of the Australian Math. Soc. 11(1970), 357-361.
 
 

58. Generalized Completeness Theorem and Solvability of Systems of Boolean Polynomial Equations. Zeitschrift fur Mathematische Logik und Grund. der Math. 16(1970), 263-264.
 
 

59. Some Special Properties of Cofinality of Ordinal Numbers. Mathematische Annalen 189(1970), 325-329.
 
 

60. On the Similarity of Partially Ordered Sets. American math. Monthly 77(1970), 1082-1094.
 
 

61. The Derived Sets Axioms for Topology. Mathematica 12(35), 2, (1970), 213-215.
 
 

62. On Set-Theoretical Models and the Independence of Set-Theoretical Axioms. Revue Roumaine de Math. Pures et Appl. 16(1971), 442-448.
 
 

63. Boolean Rings of Sets with Finite Subcovering Property. 47(1970), 77-78.
 
 

64. Boolean Rings with Isomorphisms Preserving Suprema and Infima. Journal of the London Mathematical Soceity 3(1971), 618-620.
 
 

65. On the Isomorphisms of Boolean Rings. Boletin de la Sciedad Mathematica Mexicana (2)15(1972), 44-47.
 
 

66. On the Cradinality of the Set of Prime Ideals of Nonatomic Boolean Rings. Bollettino della Unione Matematica Italiana (4)4(1971), 658-661.
 
 

67. On the Isomorphism of Partially Ordered Sets. Algebra Universalis (2)1(1971), 236-237.
 
 

68. Complete Prime Ideals of Boolean Rings. Czechoslovak Mathematical Journal (97)22(1972), 220-223.
 
 

69. Categoricity of Denumerable Atomless Boolean Rings. Studia Logica 30(1972), 63-67.
 
 

70. Prime Ideals of Subrings of Boolean Rings. Journal of London Mathematical Society (2)5(1972), 219-221.
 
 

71. The P-Model and the Consistency and the Independence of the Axiom of Regularity. Rsvista de la Union Matematica Argentina 26(1972), 1-11.
 
 

72. On the Consistency of the Generalized Continuum Hypothesis (with J. Bainbridge). Archiv fur Mathematische Logik und Grundlagenforschung 15/1-2(1972), 36-40.
 
 

73. Fixed Point Theorems of the Mappings of Partially Ordered Sets. Rendiconti del Circolo Matematico di Palermo 20/2(1971), 129-142.
 
 

74. The Use of Mitotic Ordinals in Cardinal Arithmetic. Pacific Journal of Mathematics 43/1(1972), 1-6.
 
 

75. On Solvability of Infinite Systems of Polynomial Equations over a Finite Ring. Simon Stevin, Math. Journal 46(1972), 32-37.
 
 

76. Rado's Theorem and Solvability of Systems of Equations. Notre Dame Journal of Formal Logic 14/2(1973), 145-150.
 
 

77. The Method of Synergistic Models. Annals of Polish Math. Soc. Prace Matematyczne 16(1972), 265-270.
 
 

78. The Cardinality of Ordinal Exponentiation. Bulletin of the Math. Society of Mexico 17/1(1972), 6-9.
 
 

79. Nonisomorphic Atomless Boolean Algebras. Acta Mathematica Scientiarum Hungaricae 24/1-2(1973), 129-141.
 
 

80. The Common Points of Families of Normal Functions. Canadian Journal of Mathematics 25/3(1973), 506-510.
 
 

81. Continuity Based on Convergence and Lower Complete Distributive Lattices Instead of Directed Sets. Matematicky Casopis 23/2(1973), 119-124.

82. A Proof of a Theorem of Rasiowa-Sikorski. Bulletin of the Italian Math. Society 7/4(1973), 440-442.
 
 

83. On the Independence of the Axiom of Choice. Publicationes Mathematicae, Debrecen (Hungary) University 19/1-4(1972), 122-127.
 
 

84. Prime Ideal Theorem for p-Rings and Solvability of Systems of Polynomial Equations over Ip. Bulletin Mathematique de la Soc. Sci. Math. de la R. S. Roumaine 15(63) 3(1971), 259-261.
 
 

85. Decomposition of Commutative Semi-Simple Rings into Direct Produce of Intgral Domains. Archiv der Mathematik 26/4(1973), 387-392.
 
 

86. The Consistency of the Continuum Hypothesis via Synergistic Models. Zeitschr. Fur Math. Logik und Grundlagen der Math. 19(1973), 193-198.
 
 

87. On the Exponentiation of Infinite Cardinals. Mathematische Machrichten. 56/1-6(1973), 101-103.
 
 

88. Set-Theoretical Canonical Models. Isvestia Akademyi Nauk (USSR) 7/6(1972), 399-404.
 
 

89. The Identity Theorem for Analytic Functions. Journal of Math. Analysis and Appl. 45/39(1974), 682-683.
 
 

90. Two Properties of Free Boolean Algebras. Colloquium Mathematicum 29/1(1974), 51-53.
 
 

91. Linear Extensions of Partial Orders. Nordisk Matematisk Tidskrift 22(1974), 21-22.
 
 

92. A New Proof of Ramsey's Theorem. Simon Steven Mathematical Journal. Wisen Maturrkundig Tijdschrift 47/III-IV(1974), 1069-1078.
 
 

93. Nonstandrad Models for Arithmetic and Analysis. Studia Logica 33/1(1974), 11-22.
 
 

94. Compactness of the Hyperplane Topology. Journal of Portugaliae Mathematica 33/4(1974), 209-212.
 
 

95. A Model for the Generalized Continuum Hypothesis with Three Infinite Cardinals. Rev. Roum. Math. Pures et Appl. 19/9(1974), 1069-1078.
 
 

96. A Contrast between Complex and Real-valued Taylor Series. The Journal of Australian Math. Soc. 18/4(1974), 458-460.
 
 

97. An Application of Ramsey's Theorem. Norway Mathematical Journal 22(1974), 107-108
 
 

98. On Generic Sets and their Products. Math. Bulletin of the Rumanian Math. Sco. 16/64 Nr. 4(1974), 367-370.
 
 

99. On the Standard-Model Hypothesis of ZF. Zeitschr. fur Math. Logik und Grundlagen der Math. 21(1975), 87-88.
 
 

100. On the use of more than two element Boolean valued Models. Notre Dame Journal of Formal Logic 16/4(1975), 555-564.
 
 

101. Order in a Special Class of Rings and a Structure Theorem. Proc. Amer. Math. Soc. 52(1975), 45-49.
 
 

102. Rings without Nilpotent Elements. Matematicky Casopis of Slovak Acad. of Sciences 25/3(1975), 289-291.
 
 

103. Conditional-Completion of Boolean Rings by Lower Cuts. Publications Mathematicae Debrecen 22/3-4(1975), 251-262.
 
 

104. Receding Sequences of Sets of Ordinals. Simon Stevin Math. Journal 49/1-2(1975), 41-48.
 
 

105. Solvability of Infinite Systems of Linear Equations. Arch. Math. 1, Scripta Fac. Sci. Nat. 12(1976), 43-44.
 
 

106. Partition of Nondenumerable Closed Sets of Reals. Czechoslovak Math. Journal 26/101(1976), 207-210.
 
 

107. A Simplest Example of a Nonmeasurable Set. Simon Stevin Math. Journal 2(1976), 101-102.
 
 

108. Addendum to Order in a Special Class of Rings and a Structure Theorem. Proceed. Amer. Math. Soc. 61/1(1976), 188.
 
 

109. Convergent Subsequences of Generalized Sequences of Sets. Publ. de l'Inst. Math. Belgrad 20/34(1976), 5-8.
 
 

110. A Property of Baire First Category Sets. Boletin de la Sociedad Matem. Mexican. 20/1(1975), 33-34.
 
 

111. The Coefficients of the Laurent Expansion of Analytic Functions. Arch. Math. 2, Scripta Fac. Sci. Nat. 13(1977), 65-68.
 
 

112. Hurwitz' Theorem Implies Rouche's Theorem. Journ. of Math. Analysis and Appl. 61/1(1977), 113-115.
 
 

113. Rings Satisfying Wilson's Equality (with D. R. Gloyd). Periodica Mathem. Hungarica 7/3-4(1976), 229-232.
 
 

114. On the Consistency and Independence of Some Set-Theoretical Axioms. Notre Dame Journal of Formal Logic 19/1(1978), 155-158.
 
 

115. Nonexistence of Ordered Sets with Denumerably many Dense Subsets. Bulletin Mathematique de la Soc. Sci. Math. de Roumainie 20/68(1976), 3-4.

116. Passages Between Finite and Infinite. Notre Dame Journ. of Formal Logic 19/3(1978), 452-456.
 
 

117. Boolean Rings of Sets Describing their own Stone Representation. Bulletin of Greek Math. Soc. 17(1976), 20-23.
 
 

118. On the Standard and Minimal Standard Model Axioms of ZF. Proceedings of the 8th Nation. Math. Conference, Tehran, 1977.
 
 

119. Unsolvability of the Halting Problem for Turing Machines. Tehran Journal of Math 1/2(1977), 1-7.
 
 

120. Generic Subsets of Separative Partially Ordered Sets. Revue Roumaine de Math. Pures et Appl. 23/8(1978), 1133-1134.
 
 

121. A Property of Entire Transcendental Functions. Casopis pro pestovani matematiky 103(1978), 363-364.
 
 

122. A Uniform Structure for Topological Spaces. Arch. Math. 4, Scripta Fac. Sci. Nat. Ujep Brunensis 14(1978), 181-182.
 
 

123. On a Useful Economy in the Formation of Riemann Sums. Mathematica Slovaca 28/3(1978), 247-252.
 
 

124. A Fixed Point Theorem for Image-Intersecting Mappings. Proceedings of the Amer. Math. Soc. 73/3(1979), 300-302.
 
 

125. Order Relation in Rings Without Nilpotent Elements. Mathematica - Revue D'Analyse num. et Approx. 16/39;2(1974), 217-221.
 
 

126. Rings of Real-valued Functions and the Finite Subcovering Property. Revista Columbiana de Matematicas 13(1979), 39-38.
 
 

127. Direct-Product Decomposition of Zero-Product Associative Rings without Nilpotent Elements. Colloquium Mathematicum 39(1978), 219-223.
 
 

128. A Special Class of Rings of Functions and their Finitely Subcoverable Extensions. Bulletin of Mexican Math. Soc. 22(1977), 69-72.
 
 

129. An Ultimate Proof of Rolle's Theorem. Amer. Math. Monthly 86(1979), 484-485.
 
 

130. Wallman Compactification and Matrices of Zeroes and Ones. Journ. of Math. Analysis and Appl. 69(1979), 436-442.
 
 

131. On Borel, Baire and Lebesgue Sets. Publications de L'Institut Mathematique, Belgrad, Yugoslavia 25(1979), 5-7.

132. A Simplified Version of Fraenkel-Mostowski MOdel for the Independence of the Axiom of Choice. Rev. Roum. de Math. Pures et Appl. 24(1979), 511-521.
 
 

133. Inductive Boolean Algebras and their Special Prime Ideals. Simon Stevin Journ. of Math. 53(1979), 211-218.
 
 

134. On the Cardinality of Some Powersets. Rendiconti del Circ. Matem. di Palermo. 27(1978), 5-8.
 
 

135. Representation and Completion of Partially Ordered Sets by Dyadic Sequences. Rendiconti del Circ. Matem. di Palermo. 27(1978), 29-40.
 
 

136. On the Definition of a Hyperatom of a Ring. Hyungpook Math. Journal. 19/1(1979), 1-2.
 
 

137. Dyadic Matrices and Wallman Compactification. Acta Mathematica Acad. Scient. Hungarica 34/1-2(1979), 63-66.
 
 

138. The Prime Ideals of the Boolean Ring of Intervals. Pub. Math. Debrecen 26/3-4(1979), 215-217.
 
 

139. The Number of Prime Ideas of a p-Ring. Analele Stiint. ale Univ. Al. I. Cuza. Din Iasi. 25/21(1979), 261-268.
 
 

140. On the Restriction in the Formulation of the Axiom Scheme of Replacement of ZF. Analele Univ. din Timisoara 16(1978), 5-6.
 
 

141. A New Construction of Free Groups. Algebra Universalis 10(1980), 130-132.
 
 

142. Conditionally Complete and Conditionally Orthogonally Complete Rings. Czechosl. Mathem. Journal. 30/105(1980), 171-176.
 
 

143. k-Inductive Boolean Algebras and the Existence of Special Ultra-filters. Annales Soc. Mathem. Polonae. Prace Matem. 21(1979), 1-3.
 
 

144. On a Property of Countable Partitioning of the Continuum without the use of Koenig's Lemma. Int. Journ. Math. Educ. Sci. Technol. 11/5(1980), 475-478.
 
 

145. A Well Ordering of the Cartesian Product of Two Ordinals. Arch. Math. Scripta. Brunesis. 16(1980), 185-187.
 
 

146. The Nonmetrizability of Uncountable Well-Ordered Spaces. (with A. Enayat). Simon Stevin Math. Journ. 55/1-2(1981), 3-6.
 
 

147. A Proof of Rasiowa-Sikorski Theorem. Portugaliae Mathematica 37/1-2(1978), 53-54.
 
 

148. The Precise Annuli Containing the Zeros of Polynomials. Analele Stiint. ale Univ. Al. I. Cuza Din Iasi. 27/19(1981), 31-32.
 
 

149. Molecules of a Partially Ordered Set. Algebra Universalis 12(1981), 258-261.
 
 

150. Calculus must consist of the Study of Real Numbers in their Decimal Representation and not of the Study of an Abstract Complete Ordered Field or Nonstandard Real Numbers. Int. Journ. Math. Educ. Sci. Technol. 12/4( 1981), 465-472.
 
 

151. Jacobson's Theorem for Alternative Rings. Arch. Math. Scripta. Brunensis. 17/1-2(1981), 1-2.
 
 

152. Generalizing the Generalized Mean-Value Theorem. American Math. Monthly. 88/7(1981), 528-530.
 
 

153. Zeros of Partial Sums of the Laurent Series of Analytic Functions (with E. H. Johnston). Kyungpook Math. Journal 21/1(1981), 87-90.
 
 

154. Two Theorems on Truncations of the Laurent Series. Journal of the Inst. of Math. and its Applications. 27(1981), 477-479.
 
 

155. Two Methods of Construction of Free Boolean Algebras. Studia Scient. Math. Hungarica 14(1979), 125-129.
 
 

156. Definition and Construction of Free Algebras Revisited. Acta Math. Acad. Sci. Hungar. 39/4(1982), 331-335.
 
 

157. A Fundamental Fixed Point Theorem Revisited. Bulletin of the Greek Math. Soc. 21(1980), 12-20.
 
 

158. Free p-Rings and the Two Countable Chain Conditions. Mathematica 22(45)/2(1980), 177-188.
 
 

159. Compact Partially Ordered Sets and Compactification of Partially Ordered Sets (with J. Lihova). Math. Slovaca 32/4(1981), 321-325.
 
 

160. A Family of Analytic Functions whose Members have Equal Number of Zeros. Acta Mathematica Vietnamica 6/1(1981), 18-20.
 
 

161. Rings of Bounded Real-Valued Functions and the Finite Subcovering Property. Kyungpook Math. Journal 22/2(1982), 191-194.
 
 

162. Mathematical Justification of the Laws of Classical Implication. Internat. Journal of Math. Educ. Sci. and Technology. 114/2(1983), 237-241.
 
 

163. Measurable Outer Kernels of Sets. Publ. de L'Inst. Math. 31/45(1982), 5-8.
 
 

164. On the Difference of the Number of Zeros and Poles of the Members of Convergent Sequences of Meromorphic Functions. Publications de L'Institut Mathematique 32/46(1982), 3-4.
 
 

165. Four-Coloring of Infinite Maps. Mathematica Balkanica 8(1978), 3-6.
 
 

166. The Precise Annulus Containing all the Zeros of a Polynomial. Periodica Mathematica Hungarica 14(1983), 107-109.
 
 

167. A Solvable case of an Infinite System of Infinite Linear Equations and Two Examples of Applications. Utalitas Mathematica 24(1983), 107-124.
 
 

168. Two Basic Methods of Compactification of Dyadic Matrices by Row Extension. Rev. Roumain. Math. Pures et Appl. 28(1983), 917-925.
 
 

169. Compactness of the Product Topology and the Solvability of Infinite Systems of Infinite Linear Equations. Rendiconti del Circolo Matematico di Palermo 32(1983), 224-235.
 
 

170. On a Property of Finite Truncations of the Laurent Series of Analytic Functions. Publicationes Mathematicae Debrecen 30(1983), 129-131.
 
 

171. Unique Determination of any Analytic Function of two Real Variables from its Values given on the Points on a Denumerable Set. Kyungpook Matehmatical Journal 23(1983), 183-187.
 
 

172. Some Properties of Row Orthonormal Infinite Square Matrices and Solvability of Infinite Systems of Infinite Linear Equations. Bull. of Iranian Math. Soc. 10/1(1984), 1-11.
 
 

173. Row Orthonormal Infinite Square Matrices. Anal. Stiinf. Univers. "Al. I. Cuza" din Jasi. s.I. Matematics f. 3. 29(1982), 98-104.
 
 

174. On Truncations of Entire Transcendental Functions. Bol. Soc. Bras. Mat. 13/2(1982), 1-2.
 
 

175. A Simple Proof of the Subgroup Theorem for Free Groups (with R. Kramer). Bull. Math. Soc. Sci. Math. Roumainie 28(1984), 1-10.
 
 

176. Solvability of Infinite Systems of Infinite Linear Equations (with E. Eslami). Boletin de la Soc. Matematica Mexicana 27/2(1982), 58-64.
 
 

177. Solvability of Infinite Systems of Polynomial Equations over the Field of Complex Numbers. Amer. Math. Monthly 92/2(1985), 94-98.
 
 

178. Nonexistence of Nomolecular Generic Sets (with D. Steiner). Publ. de l'Institut Mathematique 36(1984), 29-34.
 
 

179. Determinant Version of Taylor Theorems and some Generalizations. Annales Societatis Mathematicae Polonae (Commentationes Mathematicase) Prace Matematyczne 24(1984), 173-179.
 
 

180. Laurent Series Obtained by Long Division (with L. Hogben and E. H. Johnston). Radovi Matematicki 1(1985), 79-99.

181. Unique Determination of any Harmonic Function from its Values given on the points of two Convergent Sequences. Acta Mathematica Vietnamica 9(1984), 33-40.
 
 

182. The Essentials of Measure and Integration. Int. J. Math. Educ. Sci. Technol. 17(1986), 61-65.
 
 

183. A Practical Evalution of the MInimum and Maximum Moduli of Zeros of Polynomials. Mathematica-Revue d'analyse numerique et de theorie de l'approximations 27(1985), 1-2.
 
 

184. A Direct Proof of Taylor Theorems. Niew Archief voor Wiskunde 3(1985), 281-283.
 
 

185. Equations of the Best Fitting Lines. Bull. Malaysian Math. Soc. 2(1985), 39-45.
 
 

186. A Fixed Point Theorem Equivalent to the Axiom of Choice. Archiv fur Math. Logik und Grundlagen. 25(1985), 173-174.
 
 

187. Forcing via Compatibility (with Donald D. Steiner). Tamkang Journal of Math. 16/3(1985), 47-55.
 
 

188. A Purely Number Theoretic Attempt to Prove Picard's Theorems. Archivum Mathematicum 1(1986), 1-6.
 
 

189. Compatification of the Domains of Certain Rings of Functions. Archivum Mathematicum 22(1986), 61-64.
 
 

190. Negation and Quasi-Complementation Based on Incompatibility. Kyungpook Math. Journal 26(1986), 12-22.
 
 

191. Infinitely Differentiable Functions with Prescribed Derivatives at a Point. Revista Colombiana de Matematicas 17(1987), 99-104.
 
 

192. Products of Cantor Discontinuum. Bulletin of IMS 13(1986), 37-42.
 
 

193. Some Nonnegative Determinants in Inner Product Spaces. Studia Mathematica Univ. Bolyia 31/2(1986), 35-41.
 
 

194. A New Proof of the Fundamental Theorem of Algebra. Caribbean Journ. of Mathematics 5/1(1987), 1-4.
 
 

195. On the Countability of a Set of Real Numbers. Rendiconti Inst. Matematica. Univ. Trieste 26(1987), 29-31.
 
 

196. Unramified Forcing Preserving the Law of Double Negation (with K. Keremedis) Archiv. fur Mathematische Logik und Grundlagenforschung 26(1987), 177-180.
 
 

197. On the Associativity and Commutativity of Multiplication of Infinite Matrices (with K. Keremedis). International Journal of Mathematics 19/1(1988), 175-197.
 
 

198. A Fundamental Property of Inductive Partially Ordered Sets (with P. A. Kemp) Journal of Natural Sciences and Mathematics 28(1987), 121-126.
 
 

199. On the Existence of Compactification of Partially Ordered Sets. Radovi Matematicki 4(1988), 5-13.
 
 

200. Systems of Linear Equations and Model Theory. Annals of University din Timisoara 25(1987), 3-14.
 
 

201. An Everywhere Defined Unbounded Invertible Linear Operator in a Hilbert Space (with P. A. Kemp). Nieuw Archief voor Wiskunde (Holland) 6(1988), 43-45.
 
 

202. El Theorema de Taylor (in Spanish). Lecturas Matematicas Sociedad Colombiana de Matematicas 7(1989), 71-89.
 
 

203. Infinite Matrices with Orthonormal Rows. Acta Mathematica Universitatis Comenianae 50(1987), 27-35. (Published in 1989; 1987 is backlog date.)
 
 

204. Simultaneous Construction of Similar Matrices and the Similarity Transformation. Studia Univ. Babes-Bolyai Mathematics, 33/3(1988), 32-40.
 
 

205. Partially Ordered Sets of Sequences and the Related Boolean Algebras. Acta Mathematica Vietnamica 13/1(1988), 63-65.
 
 

206. The Consistency and Independence of Suslin's Hypothesis. International J. of Math. Educ. Sci. Technol. 20(1989), 517-526.
 
 

207. On the Solvability of Arbitrary Large Infinite Systems of Infinite Linear Equations. Rev. Roumaine Math. Pures Appl. 34(1989), 381-387.
 
 

208. A Partial Order Generalization of Alexander's Subbase Theorem. Rendiconti del Circolo Matematico di Palermo. 38(1989), 271-6.
 
 

209. A Lemma for Incompleteness of Nonprincipal Ultrafilters. Bulletin of Iranian math. Soc. 24(1989), 24-29.
 
 

210. Jordan Canonical Forms of Matrices AB and BA. Rendiconti Matematica Univ. Triest 20/1(1990), 101-108.
 
 

211. Existence of Prime Ideals and Ultrafilters in Partially ordered Sets (with A. Amin). Czechoslovak Mathematical Journal. 40(1990), 159-163.
 
 

212. A Simple Proof of a Weaker Form of Stirling's Formula. Mathematical Spectrum 22/3(1990), 86-87.
 
 

213. A Theorem Equivalent to the Fundamental Theorem of Algebra. (with J. A. Wilson) Niew Archief voor Wiskund 8(1990), 47-48.
 
 

214. An Equivalent of the Axiom of Choice in Finite Models of the Powerset Axiom. (with A. Amin) Notre Dame Journal of Formal Logic 31/3(1990), 371-374.
 
 

215. The Natural Right and the Natural Left Inverses of Regular Matrices. Tamkang Journal of Mathematics 21/3(1990), 279-286.
 
 

216. An Inner Product and Orthonormalization in l p-Spaces and Solution of Infinite Systems of Infinite Linear Equations. Rendiconti del Circolo Matematicao di Palermo 39(1990) 307-314.
 
 

217. Pseudo-Inductive Subsets of Partially Ordered Sets (with A. D. Martin). Analele Universit. din Timisoara 27(1989) 5-7.
 
 

218. The Riemann Integrability of a Bounded Function. International Journal of Math Educ. of Science and Technology 22(1991) 160-164.
 
 

219. A Proof of Rado's Theorem on Removable Singularities of Analytic Functions. Acta Mathematica Universitatis Comenianae. 58-59(1991) 129-133.
 
 

220. E-Complete and D-Generic Filters of Partially Ordered Sets. (with J. W. Opoien) Periodica Mathematica Hungarica 21/2 (1990) 79-83.
 
 

221. Compact Partially Ordered Sets (with A. Martin). Annals of Polish Math. Soc. Prace Matematyczne 30(1990) 1-4.
 
 

222. Retrieving a topological space from its lattice of open sets. (with Andrew D. Martin) Publicationes Mathematicae Debrecen 40/1-2(1992) 11-16.
 
 

223. Total compactness of A-inductive Partially Ordered Sets (with A. Kemp). Revista Colombiana de Matematicas 24(1990) 125-128.
 
 

224. An everywhere Differentiable Absolutely Continuous Function whose Derivative is not Riemann Integrable. Journal of Nigerian Math. Society 10(1991) 1-7.
 
 

225. The Cardinality of Powersets in Finite Models of the Powerset Axiom. Notre Dame Journal of Formal Logic 32/2(1991) 290-293.
 
 

226. On Transfinite Splitting of Infinite Sets. Rendiconti dell'Istituto de Matematica dell'Universita di Trieste 21/1(1989) 122-127.
 
 

227. The angle between two sets and their inner product in any Banach space. Mathematica -Revue d'Analyse Numerique et la Theorie de l'Approximation 19(1990) 1-6.
 
 

228. On properties of derivatives of Continuous Functions. (with P. Kemp) Simon Stevin Journal of Pure and Applied Mathematics 66(1992) 19-27.
 
 

229. A geometric proof of the Lebesgue Differentiation Theorem (with P. Kemp). Annals of Craiova University 28(1990) 4-17.

230. A most direct proof of Compactness of the Product of Compact Spaces (with P. Kemp). Studia Univ. Bolyai, Mathematica 35/2(1990) 68-70.
 
 

231. On various characterizations of Compactness. Rendiconti del Circolo Matematico di Palermo Series 2, 41(1992) 391-396.
 
 

232. Solutions and representations by iterated radicals (with S. Sverchkov). International Journal Math. Educ. Technology 24/3(1993) 449-455.
 
 

233. The Coefficients of the Laurent series expansions of Real Analytic Functions (with J. A. Wilson). Rendiconti del Circolo. Mathematico di Palermo. 42/2(1993) 155-160.
 
 

234. Expansion into Iterated Square Roots (with S. Sverchkov). Mathematical Spectrum 26/1(1993) 8-10.
 
 

235. A Proof of the Arithmetic-Geometric Mean Inequality. Mathematical Spectrum 26(1993) 52-54.
 
 

236. An Iterative Construction of Bases for finitely Generated Modules over Principal Ideal Domains (with Kemp and Sverchkov). Czechoslovak Mathematical Journal, 43/118(1993) 577-582.
 
 

237. On Measurability of Uncountable Unions of Measurable Sets (with P. Kemp). Publications de L'Institut Mathematique, Belgrad, 52/66(1992) 13-17.
 
 

238. Basis of Abelian Groups. Proceedings of the June 1994 Conference on Mathematical Modeling, 150-155.
 
 

239. Generic Chains and Generic Directed Subsets of Partially Ordered Sets. Studia Mathematica, Univ. B. Bolyai, 39(1994) 3-9.
 
 

240. A Particular Variant of Picard's Little Theorem (with J.A. Wilson). Complex Variable Journal, 32/4(1997) 401-404.
 
 

241. An Example of a Commutative C*-Algebra (with P. Kemp). New Archief Voor Wiskunde, 15/1-2(1997)1-6.
 
 

242. A Theorem Equivalent to Picard's Little Theorem and a Derivation of the Fundamental Theorem of Algebra (with P. Kemp).Far East J.Math.Sci.,5/4(1997)623-626.
 
 

243. Compactness of the Product of Two Compact Spaces Without the Axiom of Choice (with E. Eslami). Indian Journal of Mathematics,38/2(1966)97-99.
 
 

244. Additive and Linear Mappings in Normed Vector Spaces (with Y.T. Poon) Far East J.Math.Sci., 6/1 (1998)125-128.
 
 

245. Cantor Ternary Set and Measurability of Hamel Bases (with I.R. Hentzel) Far East Math.Sci., 6/1 (1998)163-168.
 
 
 
 

246. Sums of Infinitely Many Sequences (with P. Kemp). Octogon Math. Magazine, 6/1 (1998)37-39.
 
 

247. Nest and Complete Accumulation Point Compactness of the Product of Topological Spaces Revista Integracion, 14/2 (1996) 69-73.

248. The Solvability of Infinite Systems of Linear Equations over Division Modules (with S. Sverchkov). Far East Math.Sci., 6/1 (1998)671-675.

249. Convolution Product and Fourier Transform Zbornik Radova,20 (1998)31-34.
 
 

250. How to Remember and Use Stokes Theorem Easily, Mathematics in Practice and Theory (Beijing Univ.),28/4 (1998)336-339.
 
 

251. Derivatives at Boundary Points (with J.A. Wilson), Kyungpook Mathematical Journal, 38/2 (1998)359-361.
 
 

252. A Special Partition of the Reals into Nonmeasurable Subsets, Atti Sem.Fis.Univ.Modena,Italy, 46 (1998)371-374.
 
 

253. Lebesgue integral defined in the manner of Riemann Math.Edu.Sci.Technol.,England, 30/1(1999)127-130.
 
 

254. Cantor Subsets and Outer Measures of Sets(with G.Runyan). Far East J.Math.Sci.(FJMS),1(2)(1999)271-275.