Pinus Aleksandr Georgievich

Publications in Math-Net.Ru

1. Abstract relations between functional clones
   
   Algebra Logika, 60:4 (2021),  425–432
2. On spaces of functional clones
   
   Sib. Èlektron. Mat. Izv., 18:2 (2021),  901–904
3. Neighborhoods and isolated points in spaces of functional clones on sets
   
   Algebra Logika, 59:3 (2020),  334–343
4. The algebraic sets of broad algebras
   
   Bulletin of Irkutsk State University. Series Mathematics, 32 (2020),  94–100
5. Algebraic functions and inner homomorphisms of universal algebras
   
   Sibirsk. Mat. Zh., 61:3 (2020),  669–673
6. Lattices of boundedly axiomatizable $\forall$-subclasses of $\forall$-classes of universal algebras
   
   Algebra Logika, 58:3 (2019),  363–369
7. On the representation of the lattices of the algebraic sets of the universal algebras
   
   Bulletin of Irkutsk State University. Series Mathematics, 29 (2019),  98–106
8. On topologization of direct limits of retractive spectors and their completion
   
   Sib. Èlektron. Mat. Izv., 16 (2019),  1345–1350
9. On the elementary geometry of universal algebras and on the equivalence of clones relative to this geometry
   
   Sib. Èlektron. Mat. Izv., 15 (2018),  332–337
10. Once more on the direct and inverse limits of retractive spectra
    
    Sib. J. Pure and Appl. Math., 18:3 (2018),  60–63
11. Fragments of functional clones
    
    Algebra Logika, 56:4 (2017),  477–485
12. On algebraic properties of universal algebras
    
    Sib. Èlektron. Mat. Izv., 14 (2017),  156–162
13. On direct and inverse limits of retractive spectra
    
    Sibirsk. Mat. Zh., 58:6 (2017),  1372–1377
14. On the logical equivalence of functional clones
    
    Sibirsk. Mat. Zh., 58:4 (2017),  864–869
15. Algebraically equivalent clones
    
    Algebra Logika, 55:6 (2016),  760–768
16. Dimension of functional clons, metric on its collection
    
    Sib. Èlektron. Mat. Izv., 13 (2016),  366–374
17. Ihm-admissible and Ihm-forbidden quasiorders on sets
    
    Sibirsk. Mat. Zh., 57:5 (2016),  1109–1113
18. $n$-Algebraic complete algebras, pseudodirect product and operator of algebraic closure on the subsets of universal algebras
    
    Sib. J. Pure and Appl. Math., 16:4 (2016),  97–102
19. Algebras with identical algebraic sets
    
    Algebra Logika, 54:4 (2015),  493–502
20. Ihm-quasiorder and derived structures of universal algebras; 1-algebraic complete algebras
    
    Bulletin of Irkutsk State University. Series Mathematics, 12 (2015),  72–78
21. On some of logical closures on universal algebras
    
    Sib. Èlektron. Mat. Izv., 12 (2015),  698–703
22. On the quasiorder induced by inner homomorphisms and the operator of algebraic closure
    
    Sibirsk. Mat. Zh., 56:3 (2015),  629–636
23. Definable functions of universal algebras and definable equivalence between algebras
    
    Algebra Logika, 53:2 (2014),  256–270
24. Some Applications on the Second Order Logic Language in the Universal Algebra
    
    Bulletin of Irkutsk State University. Series Mathematics, 7 (2014),  79–84
25. The classical Galous closure for universal algebras
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 2,  47–53
26. On the universal algebras with identical derived objects (congruences, algebraic sets)
    
    Sib. Èlektron. Mat. Izv., 11 (2014),  752–758
27. Hamiltonian closure on universal algebras
    
    Sibirsk. Mat. Zh., 55:3 (2014),  610–616
28. On Definable and Autostable Congruences
    
    Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 14:2 (2014),  63–68
29. Rational equivalence of algebras, its clone generalizations, and clone categoricity
    
    Sibirsk. Mat. Zh., 54:3 (2013),  673–688
30. On the Geometrically Complete Varieties of Algebras
    
    Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 13:3 (2013),  90–95
31. Geometric and conditional geometric equivalences of algebras
    
    Algebra Logika, 51:6 (2012),  766–771
32. Semilattices of definable subalgebras. II
    
    Algebra Logika, 51:2 (2012),  276–284
33. The algebraic and logical geometries of universal algebras (a unified approach)
    
    Fundam. Prikl. Mat., 17:1 (2012),  189–204
34. The point-termal complete clones of functions and the lattices of lattices of all subalgebras of algebras with fixed basic set
    
    Bulletin of Irkutsk State University. Series Mathematics, 5:3 (2012),  94–103
35. Implicit algebraic geometry of universal algebras
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 5,  40–45
36. Implicitly equivalent universal algebras
    
    Sibirsk. Mat. Zh., 53:5 (2012),  1077–1090
37. New algebraic invariants for definable subsets in universal algebra
    
    Algebra Logika, 50:2 (2011),  209–230
38. Implicit $\overline{\mathcal{K}}$-varieties
    
    Bulletin of Irkutsk State University. Series Mathematics, 4:3 (2011),  110–115
39. On $\infty$-quasivarieties
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 8,  40–45
40. Conditional geometric scales of discriminator varieties
    
    Sibirsk. Mat. Zh., 52:3 (2011),  650–654
41. On the Galois-Correspondence between Implicit Operations and Categories of Universal Algebras
    
    Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 11:3 (2011),  146–152
42. Termal and polynomial endomorphisms of universal algebras
    
    Algebra Logika, 49:1 (2010),  18–25
43. On the scale of local computability potentials of algebras
    
    Fundam. Prikl. Mat., 15:1 (2009),  135–145
44. Geometric scales for varieties of algebras and quasi-identities
    
    Mat. Tr., 12:2 (2009),  160–169
45. Implicit operations on the categories of universal algebras
    
    Sibirsk. Mat. Zh., 50:1 (2009),  146–153
46. On the Algebras Which Are Isomorphic of Any Nonempty Subalgebra
    
    Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 9:3 (2009),  115–119
47. On the Elementary Theory of the Scale of the Computability Potentials of all Finite Algebras
    
    Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 9:2 (2009),  88–93
48. Automorphisms, definable relations, and covers of elements of the computability potential scale for all finite algebras
    
    Algebra Logika, 47:4 (2008),  464–474
49. Elementary equivalence for the lattices of subalgebras and automorphism groups of free algebras
    
    Sibirsk. Mat. Zh., 49:4 (2008),  865–869
50. The computability potential scale of all finite algebras
    
    Sibirsk. Mat. Zh., 48:3 (2007),  668–673
51. Universal algebras and ideals of the scale of computability potentials of all finite algebras
    
    Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 7:2 (2007),  88–94
52. Definability by formulas of derived objects on universal algebras
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2006, no. 3,  36–40
53. On the subsemilattices of first-order definable and openly first-order definable congruences of the congruence lattice of a universal algebra
    
    Sibirsk. Mat. Zh., 47:4 (2006),  865–872
54. Positively conditional pseudovarieties and implicit operations on them
    
    Sibirsk. Mat. Zh., 47:2 (2006),  372–382
55. Semilattices of Definable Subalgebras
    
    Algebra Logika, 44:4 (2005),  474–482
56. Elementary classification and decidability of theories of derived structures
    
    Uspekhi Mat. Nauk, 60:3(363) (2005),  3–40
57. Computability potential scales of $n$-element algebras with restrictions on arity
    
    Sibirsk. Mat. Zh., 46:1 (2005),  177–184
58. Elementary Equivalence of Derived Structures of Free Semigroups, Unars, and Groups
    
    Algebra Logika, 43:6 (2004),  730–748
59. On the implicit conditional operations defined on pseudouniversal classes
    
    Fundam. Prikl. Mat., 10:4 (2004),  171–182
60. Proper automorphisms of universal algebras
    
    Sibirsk. Mat. Zh., 45:6 (2004),  1329–1337
61. The scales of computability potentials: results and problems
    
    Fundam. Prikl. Mat., 9:3 (2003),  145–164
62. On automorphisms of computability potential scales for $n$-element algebras
    
    Sibirsk. Mat. Zh., 44:3 (2003),  606–621
63. Rational and Conditional-Rational Equivalent Algebras
    
    Algebra Logika, 41:3 (2002),  326–334
64. On the diagrams of classes of conditionally termal functions
    
    Fundam. Prikl. Mat., 8:4 (2002),  1099–1109
65. On the elementary equivalence of derived structures of free lattices
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2002, no. 5,  44–47
66. On the length of scales of computability potentials for $n$-element algebras
    
    Sibirsk. Mat. Zh., 43:4 (2002),  858–863
67. On independence of the relations of epimorphy and embeddability on the variety of all lattices
    
    Sibirsk. Mat. Zh., 43:2 (2002),  438–441
68. Inner Homomorphisms and Positive-Conditional Terms
    
    Algebra Logika, 40:2 (2001),  158–173
69. On faithful conditional identities and conditionally complete conditional varieties
    
    Fundam. Prikl. Mat., 7:3 (2001),  839–847
70. On the definability of finite algebras by derived categories
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2001, no. 4,  38–42
71. Conditional terms and their applications in algebra and computation theory
    
    Uspekhi Mat. Nauk, 56:4(340) (2001),  35–72
72. Elementary equivalence of lattices of subalgebras of free algebras
    
    Algebra Logika, 39:5 (2000),  595–601
73. On functions commuting with semigroups of transformations of algebras
    
    Sibirsk. Mat. Zh., 41:6 (2000),  1409–1418
74. Invariants of the rational equivalence relation
    
    Sibirsk. Mat. Zh., 41:2 (2000),  430–436
75. On conditionally rationally equivalent discriminator varieties
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1999, no. 8,  54–59
76. On elementary theories of generic multi-algebras
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1999, no. 4,  39–43
77. $n$-elementary embeddability and $n$-conditional terms
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1999, no. 1,  36–40
78. Conditional topology and definable functions on universal algebras
    
    Sibirsk. Mat. Zh., 40:6 (1999),  1305–1312
79. Calculus of conditional identities, and conditionally rational equivalence
    
    Algebra Logika, 37:4 (1998),  432–459
80. Locally finite Jуnsson conditional varieties and conditionally rational equivalence
    
    Sibirsk. Mat. Zh., 39:4 (1998),  942–948
81. On elementary theories of semilattices of partial orders on sets
    
    Sibirsk. Mat. Zh., 39:3 (1998),  590–592
82. On algebras that are conditionally rationally equivalent to semilattices and Boolean algebras
    
    Sibirsk. Mat. Zh., 39:1 (1998),  121–128
83. On the $\aleph$-identity of epimorphy and embeddability relations on quasivarieties
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1997, no. 11,  52–60
84. On lattices in skeletons of embeddability of varieties
    
    Sibirsk. Mat. Zh., 38:5 (1997),  1115–1119
85. Characterization of conditionally term functions
    
    Sibirsk. Mat. Zh., 38:1 (1997),  161–165
86. Letter to the editors: “On skeletons of embeddability of nonlocally finite discriminator varieties with a poor algebra” [Algebra i Logika 33 (1994), no. 1, 90–103, 105; MR1287012]
    
    Algebra Logika, 35:6 (1996),  746
87. On rich and poor algebras
    
    Algebra Logika, 35:6 (1996),  709–718
88. On the property of being a semilattice for countable imbeddability skeletons of discriminator varieties
    
    Trudy Inst. Mat. SO RAN, 30 (1996),  119–125
89. On lattices of quasi-orders on universal algebras
    
    Algebra Logika, 34:3 (1995),  327–328
90. On skeletons of embeddability of nonlocally finite discriminator varieties with a poor algebra
    
    Algebra Logika, 33:1 (1994),  90–103
91. On the number of the epimorphy skeletons of varieties
    
    Sibirsk. Mat. Zh., 35:2 (1994),  424–427
92. On algebras that are close to simple
    
    Algebra Logika, 32:5 (1993),  537–555
93. Quasi-orders on universal algebras
    
    Algebra Logika, 32:3 (1993),  308–325
94. Vopěnka's principle and skeletons of varieties
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1993, no. 3,  68–71
95. On coverings in epimorphism skeletons of varieties
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1993, no. 1,  48–55
96. On $p$-pseudo-simple algebras
    
    Algebra Logika, 31:6 (1992),  637–654
97. Varieties whose skeletons are lattices
    
    Algebra Logika, 31:1 (1992),  74–82
98. Boolean constructions in universal algebra
    
    Uspekhi Mat. Nauk, 47:4(286) (1992),  145–180
99. Countable skeletons of finitely generated discriminant varieties
    
    Sibirsk. Mat. Zh., 33:2 (1992),  190–195
100. Löwenheim numbers for skeletons of varieties of Boolean algebras
     
     Algebra Logika, 30:3 (1991),  333–354
101. Löwenheim numbers for skeletons of varieties
     
     Algebra Logika, 30:2 (1991),  214–225
102. The word problem for discriminant varieties
     
     Sibirsk. Mat. Zh., 32:6 (1991),  128–130
103. Elementary theory of skeletons of embeddability of discriminant varieties
     
     Sibirsk. Mat. Zh., 32:5 (1991),  126–131
104. Intervals and chains in epimorphism skeletons of congruence-distributive varieties
     
     Algebra Logika, 29:2 (1990),  207–219
105. Cartesian skeletons of congruence-distributive varieties
     
     Izv. Vyssh. Uchebn. Zaved. Mat., 1990, no. 6,  47–51
106. Rich countable epimorphism skeletons of discrimator varieties
     
     Sibirsk. Mat. Zh., 31:3 (1990),  125–134
107. Varieties with a simple countable skeleton of embeddability
     
     Sibirsk. Mat. Zh., 31:1 (1990),  127–134
108. Countable skeletons of embeddability of discriminator varieties
     
     Algebra Logika, 28:5 (1989),  597–607
109. On the number of discriminant varieties that are incomparable in countable epimorphism skeletons
     
     Algebra Logika, 28:3 (1989),  311–323
110. Elementary theory of epimorphism skeletons of congruence-distributive varieties
     
     Izv. Vyssh. Uchebn. Zaved. Mat., 1989, no. 7,  73–76
111. Coverings in epimorphism skeletons of varieties of algebras
     
     Algebra Logika, 27:3 (1988),  316–326
112. Congruence-distributive varieties of algebras
     
     Itogi Nauki i Tekhniki. Ser. Algebra. Topol. Geom., 26 (1988),  45–83
113. Elementary equivalence of lattices of partitions
     
     Sibirsk. Mat. Zh., 29:3 (1988),  211–212
114. Simple countable epimorphism skeletons of congruence-distributive varieties
     
     Izv. Vyssh. Uchebn. Zaved. Mat., 1987, no. 11,  67–70
115. Restricted theories of lattices of subalgebras of some Horn classes
     
     Izv. Vyssh. Uchebn. Zaved. Mat., 1986, no. 11,  79–81
116. Imbeddability and epimorphism relations on congruence-distributive varieties
     
     Algebra Logika, 24:5 (1985),  588–607
117. Applications of Boolean powers of algebraic systems
     
     Sibirsk. Mat. Zh., 26:3 (1985),  117–125
118. The operation of Cartesian product
     
     Izv. Vyssh. Uchebn. Zaved. Mat., 1983, no. 8,  51–53
119. Uniqueness of linear extensions of partial orders
     
     Sibirsk. Mat. Zh., 24:4 (1983),  131–137
120. A calculus with an elementary equivalence quantifier
     
     Sibirsk. Mat. Zh., 24:3 (1983),  136–141
121. Full imbeddings of categories of algebraic systems and determinability of a model by the semigroup of its endomorphisms
     
     Izv. Vyssh. Uchebn. Zaved. Mat., 1982, no. 1,  80–83
122. The spectrum of rigid systems of Horn classes
     
     Sibirsk. Mat. Zh., 22:5 (1981),  153–157
123. Constructivization of Boolean algebras
     
     Sibirsk. Mat. Zh., 22:4 (1981),  169–175
124. A characterization of the category of linearly ordered sets
     
     Sibirsk. Mat. Zh., 22:3 (1981),  156–161
125. Existence of $\alpha$-dimension of partial orders
     
     Izv. Vyssh. Uchebn. Zaved. Mat., 1980, no. 5,  32–36
126. Weak commutativity of scattered summation of linear orders
     
     Sibirsk. Mat. Zh., 21:2 (1980),  155–159
127. Eliminability of the quantifiers $Q_0$ and $Q_1$ on symmetric groups
     
     Izv. Vyssh. Uchebn. Zaved. Mat., 1979, no. 12,  45–47
128. Collections of pairwise incomparable linear orders of a given degree of dispersal
     
     Izv. Vyssh. Uchebn. Zaved. Mat., 1979, no. 7,  62–65
129. A certain enumeration of one-place predicates
     
     Izv. Vyssh. Uchebn. Zaved. Mat., 1979, no. 1,  54–60
130. The Hanf number for a calculus with the Härtig quantifier
     
     Sibirsk. Mat. Zh., 20:2 (1979),  440–441
131. Elementary equivalence of topological spaces
     
     Sibirsk. Mat. Zh., 20:2 (1979),  433–439
132. Decidability problems of extended theories
     
     Uspekhi Mat. Nauk, 33:2(200) (1978),  49–84
133. The cardinality of models of the theories of the calculus with the Härtig quantifier
     
     Sibirsk. Mat. Zh., 19:6 (1978),  1349–1356
134. Theory of Boolean algebras in a calculus with the quantifier “there exist infinitely many”
     
     Sibirsk. Mat. Zh., 17:6 (1976),  1417–1421
135. Effective linear orders
     
     Sibirsk. Mat. Zh., 16:6 (1975),  1246–1254
136. Countable indecomposable dispersed order types
     
     Mat. Zametki, 13:1 (1973),  113–120
137. Lexicographic powers of totally ordered sets
     
     Sibirsk. Mat. Zh., 14:3 (1973),  684–690
138. The number of pairwise incomparable order types
     
     Sibirsk. Mat. Zh., 14:1 (1973),  229–234
139. The embedding of linearly ordered sets
     
     Mat. Zametki, 11:1 (1972),  83–88
140. The theory of convex subsets
     
     Sibirsk. Mat. Zh., 13:1 (1972),  218–224
141. A remark on the paper by Ju. M. Važenin: “Elementary properties of transformation semigroups of ordered sets”
     
     Algebra Logika, 10:3 (1971),  327–328


142. In memory of Valeriy Matveevich Kopytov
     
     Algebra Logika, 61:6 (2022),  I–IV
143. Evgenii Andreevich Palyutin (1945–2018)
     
     Sib. Èlektron. Mat. Izv., 16 (2019),  1–10
144. Letter to the editors: “The number of pairwise incomparable order types”' (Sibirsk. Mat. Z. 14 (1973), no. 1, 229–234)
     
     Sibirsk. Mat. Zh., 17:3 (1976),  708
145. Letter to the editor
     
     Mat. Zametki, 12:4 (1972),  500