Publications by

Sergey Vladimirovich Sudoplatov

 

Books

1. Discrete mathematics (joint with E.V. Ovchinnikova). – Novosibirsk: Edition of Novosibirsk State Technical University, 1994. – 170 p. (photo)

2. Type calculations in discrete mathematics (joint with E.V. Ovchinnikova). – Novosibirsk: Edition of Novosibirsk State Technical University, 1997. – 28 p.

3. Adjusting lectures on higher mathematics (joint with I.Ya. Glazychev, A.M. Ivleva, L.V. Kovalevskaya, E.V. Ovchinnikova, A.G. Pinus, K.N. Ponomaryov, I.D. Chernykh, A.V. Chekhonadskih, V.G. Shikhova). – Novosibirsk: Edition of Novosibirsk State Technical University, 1999-2008. Parts 1-8. – 308 p.

4. Elements of Discrete Mathematics: Manual (joint with E.V. Ovchinnikova). – Moscow: INFRA-M, Novosibirsk: Edition of Novosibirsk State Technical University, 2002, 2003. – 280 p. (photo)

5. Mathematical Logic and Theory of Algorithms. Manual (joint with E.V. Ovchinnikova). – Novosibirsk: Edition of Novosibirsk State Technical University, 2003. – 226 p.

6. Mathematical Logic and Theory of Algorithms: Manual (joint with E.V. Ovchinnikova). – Moscow: INFRA-M, Novosibirsk: Edition of Novosibirsk State Technical University, 2004, 2008. – 224 p. (photo)

7. Discrete Mathematics: Manual (joint with E.V. Ovchinnikova). – Moscow: INFRA-M, Novosibirsk: Edition of Novosibirsk State Technical University, 2005, 2007, 2009. – 256 p. (photo)

8. The Lachlan Problem. – Novosibirsk, 2008. – 271 p. (in Russian)

9. The Lachlan Problem. – Novosibirsk, 2008. – 246 p.

 

Scientific papers

1. Normality conditions of elementary theories // Proceedings of XXIV All-Union Scientific Student Conf. Mathematics. – Novosibirsk: Edition of Novosibirsk State University, 1986. P. 60-64.

2. On powerful types in small theories // Siberian Math. J. 1990. V. 31, N 4. P. 118-128. (SpringerLink)

3. Baseness in plane-predicate theories and theories without semi-contours // Edition of Siberian Math. J. Novosibirsk, 1990. Deposed in VINITI 15.01.91, N 245-B 91.

4. Trigonometries of groups and of systems // In: Structural properties of algebraic systems. Collection of scientific works. – Karaganda: Edition of Karaganda State University, 1990. P. 12-33.

5. Trigonometries on precise pseudoplane // In: Les Travaux Scientifiques du Colloque Sovieto-Francais sur la Theorie des Modeles. – Karaganda: Edition of Karaganda State University, 1990. P. 185-201.

6. Type reduction and powerful types // Siberian Math. J. 1992. V. 33, N 1. P. 150-159. (SpringerLink)

7. On embedding relation in the class of group trigonometries // Algebra and Logic. 1994. V. 33, N 4. P. 429-447.

8. On group trigonometries on a projective plane // Siberian Math. J. 1995. V. 36, N 2. P. 419-431.

9. On trigonometries not embeddable in trigonometries with small theories // In: Investigations in the theory of algebraic systems. Collection of scientific papers. – Karaganda: Edition of Karaganda State University, 1995. P. 103-110.

10. On trigonometries of finite groups and of groups with subgroups having trigonometries // Siberian Math. J. 1996. V. 37, N 2. P. 419-423.

11. On an estimation of complexity of graph theories // Siberian Math. J. 1996. V. 37, N 3. P. 700-703.

12. Polygonometries of group pairs // Siberian Math. J. 1997. V. 38, N 4. P. 925-931.

13. Partial algebras associated with group pair polygonometries // Algebra and Logic. 1997. V. 36. N 4. P. 454-476.

14. Trigonometries with functions sin and cos // In: Algebra and Model Theory. Collection of papers (Edited by A.G. Pinus and K.N. Ponomaryov). Novosibirsk: Edition of Novosibirsk State Technical University, 1997. P. 169-172.

15. Number of models of theories of everywhere finitely defined polygonometries // Siberian Math. J. 1999. V. 40, N 3. P. 689-694.

16. Transitive arrangements of algebraic systems // Siberian Math. J. 1999. V. 40, N 6. P. 1347-1351.

17. Group polygonometries and related algebraic systems (an informative survey) // In: Contributions to General Algebra 11. Proc. of the Olomouc Workshop '98 on General Algebra. Klagenfurt: Verlag Johannes Heyn, 1999. P. 191--210. (pdf)

18. Group polygonometries with symmetrical conditions // In: Algebra and Model Theory 2. Collection of papers (Edited by A.G. Pinus and K.N. Ponomaryov). Novosibirsk: Edition of Novosibirsk State Technical University, 1999. P. 140--159. (pdf)

19. On classification of group polygonometries // Matematicheskie trudy. 2001. V. 4, N 1. P. 174-202.

20. On classification of group polygonometries // Siberian Advances in Mathematics. 2001. V. 11, N 3. P. 98-125.

21. On acyclic hypergraphs of minimal prime models // Siberian Math. J. 2001. V. 42, N 6. P. 1408-1412.

22. Closed sets of side-angle matrices and correspondent geometrical structures // In: Algebra and Model Theory 3. Collection of papers (Edited by A.G. Pinus and K.N. Ponomaryov). Novosibirsk: Edition of Novosibirsk State Technical University, 2001. P. 131--135.

23. Omega-stable trigonometries on a projective plane // Matematicheskie trudy. 2002. V. 5, N 1. P. 135-166.

24. Omega-stable trigonometries on a projective plane // Siberian Advances in Math. 2002. V. 12, N 4. P. 97--124.

25. Inessential combinations and colorings of models // Siberian Math. J. 2003. V. 44, N 5. P. 1132-1141.

26. Fuzzy polygonometries // In: Algebra and Model Theory 4. Collection of papers (Edited by A.G. Pinus and K.N. Ponomaryov). Novosibirsk: Edition of Novosibirsk State Technical University, 2003. P. 124-128.

27. Complete theories with finitely many countable models. I // Algebra and Logic. 2004. V. 43, N 1. P. 110-124. (SpringerLink)

28. Powerful digraphs // Siberian Math. J. 2007. V. 48, N 1. P. 205-213. (pdf) (SpringerLink)

29. Complete theories with finitely many countable models. II // Algebra and Logic. 2006. V. 45, N 3. P. 314-353. (SpringerLink)

30. On the number of countable models of complete theories with finite Rudin-Keisler preorders // Siberian Math. J. 2007. V. 48, N 2. P. 417-422. (SpringerLink)

31. Syntactic approach to constructions of generic models // Algebra and Logic. 2007. V. 46, N 2. P. 244-268. (pdf, pdfeng) (SpringerLink)

32. On generating elements in generic algebras (joint with E.V. Ovchinnikova) // In: Algebra and Model Theory 5. Collection of papers (Edited by A.G. Pinus and K.N. Ponomaryov). Novosibirsk: Edition of Novosibirsk State Technical University, 2005. P. 132-138. (pdf)

33. Varieties of generic classes // In: Algebra and Model Theory 5. Collection of papers (Edited by A.G. Pinus and K.N. Ponomaryov). Novosibirsk: Edition of Novosibirsk State Technical University, 2005. P. 204-208. (pdf)

34. Small stable generic graphs with infinite weights. Bipartite digraphs // Matematicheskie trudy. 2006. V. 9, N 2. P. 154-171.

35. Small stable generic graphs with infinite weight. Bipartite digraphs // Siberian Advances in Math. 2007. V. 17, N 1. P. 37-48. (Abstract) (SpringerLink)

36. Small stable generic graphs with infinite weight. Digraphs without furcations // Matematicheskie trudy. 2007. V. 10, N 1. P. 191-207.

37. Small stable generic graphs with infinite weight. Digraphs without furcations // Siberian Advances in Math. 2008. V. 18, N 2. P. 142-151. (SpringerLink)

38. Small stable generic graphs with infinite weight. Powerful digraphs // Matematicheskie trudy. (Submitted in 2006)

39. On expansions and extensions of powerful digraphs // Siberian Math. J. (Submitted in 2007)

40. Models of cubic theories // Siberian Math. J. (Submitted in 2007)

41. Stable theories with finitely many countable models // Algebra and Logic. (Submitted in 2007)

42. Small stable trigonometries with infinite weight // // In: Algebra and Model Theory 6. Collection of papers (Edited by A.G. Pinus and K.N. Ponomaryov). Novosibirsk: Edition of Novosibirsk State Technical University, 2007. P. 111-117.

43. Ehrenfeucht theories with non-dense powerful digraphs // Siberian Math. J. (Submitted in 2007)

44. Ehrenfeucht theories without powerful digraphs // Siberian Math. J. (Submitted in 2007)

 

Abstracts of talks

1. On normality conditions of complete theories // 8-th All-Union  Math. Logic Conf. Abstracts of talks. –  Moscow: Edition of MGPI, 1986. – P. 191.

2. Powerful types and reducibility property // 9-th All-Union Math. Logic Conf. Abstracts of talks. –  Leningrad: Nauka, 1988. – P. 159.

3. Baseness of theories without semi-contours // Colloque Sovieto-Francais sur la Theorie des Modeles. Theses des communicationes – Karaganda: Edition of Karaganda State University, 1990. – P. 45.

4. Approximation of projectivity property with acyclic orientation in stable theories // Colloque Sovieto-Francais sur la Theorie des Modeles. Theses des communicationes – Karaganda: Edition of Karaganda State University, 1990. – P. 46-47.

5. On n-theories of graphs // International Algebraic Conf. Abstracts of talks. – Barnaul, Novosibirsk: Edition of Mathematics Institute of Siberian Branch of Academy of Sciences of USSR, 1991. – P. 142.

6. On group trigonometries // XI Inter-Republican Math. Logic Conf. Abstracts of talks. – Kazan’: Edition of Kazan’ State University, 1992. – P. 136.

7. Transitive arrangement of a structure in the structure of free directed pseudoplane // Third International Algebraic Conf. Abstracts of talks. – Krasnoyarsk: Edition of Krasnoyarsk State University, 1993. – P. 321-322.

8. Embedding relation in the class of  group trigonometries // Third International Algebraic Conf. Abstracts of talks. – Krasnoyarsk: Edition of Krasnoyarsk State University, 1993. – P. 322-323.

9. On trigonometries of pairs of groups // Third Suslin Conf. Scientific Math. Readings. – Saratov: Edition of SSPI, 1994. – P. 58-59.

10. Homomorphisms in the class of trigonometries of pairs of groups // Third Suslin Conf. Scientific Math. Readings. – Saratov: Edition of SSPI, 1994. – P. 60-61.

11. On a small stable theory with the tree property // International Math. Logic Conf. devoted to the memory of A.I. Maltsev. Abstracts of talks. – Novosibirsk: Edition of NIIDMI, 1994. – P. 95-96.

12. On the number of types in trigonometrical theories // Comptes-rendus au 3 eme colloque qazaqo-francais de theorie des modeles (Almaty, 27 juin - 1 jullet 1994). Institute of Informatics and Control Problems. Academy of Sciences of the Republic of Kazakhstan. – Almaty, 1996. – P. 22-23.

13. On classification of polygonometries of groups // Abstracts. KORUS '97. The first Korea-Russia International Symposium on Science and Technology. September 29 - October 3, 1997. – University of Ulsan, Republic of Korea. – P. 133.

14. Automorphism groups of polygonometries // Kurosh Algebraic Conference '98, Abstracts of Talks. – Moscow: Edition of Moscow State University, 1998. – P. 119-120.

15. On type identifications in trigonometrical theories // Proceedings of International Math. Logic Conf. devoted to the memory of A.I. Maltsev. Abstracts of talks. – Novosibirsk: Edition of NIIDMI, 1999. – P. 111-112.

16. On hypergraphs of minimal prime models // Proceedings of International Math. Logic Conf. devoted to the memory of A.I. Maltsev. Abstracts of talks. – Novosibirsk: Edition of IDMI, 1999. – P. 112-113.

17. On polygonometries with symmetrical conditions // International seminar “Universal algebra and its applications” devoted to the memory of L.A. Skornyakov. – Volgograd: Peremena, 1999. – P. 61-62.

18. On immersion of group trigonometries in nonprincipal types // Logic and Applications. Abstracts of International Conf. Devoted to 60th  Anniversary of Academician Yu.L. Ershov. – Novosibirsk: Edition of NIIDMI, 2000. – P. 97.

19. On generic group trigonometries // International algebraic seminar devoted to 70th anniversary of scientific research algebraic seminar of MSU founded by O.Yu. Shmidt in 1930 (November 13-16, 2000). Abstracts of talks. – Moscow: Edition of CPI in Mechanics and Mathematics Department of MSU, 2000. – P. 94-95. (pdf)

20. Stable Theories with a Finite Number of Countable Models // Maltsev Meeting. Novosibirsk, 2001. (ps)

21. On generalized group polygonometries // International Group Theory seminar devoted to 70th anniversary of A.I. Starostin and  80th anniversary of N.F. Sesekin. – Ekaterinburg: Edition of Ural State University, 2001. – P. 209-212. (pdf)

22. On finite polygonometries with two-element side group // International Conf. “Algebra and its applications”: Abstracts of talks. –  Krasnoyarsk: Edition of Krasnoyarsk State University, 2002. – P. 115.

23. On syntactical generic constructions // VI International Conf. “Algebra and Number theory: modern problems and applications” devoted to 100th anniversary of N.G. Chudakov. – Saratov: Edition of SSPI,, 2004. – P. 142-144. (pdf)

24. On structures of powerful types // Algebra, Logic and Cybernetics: Proceedings of International Conf. – Irkutsk: Edition of Irkutsk State Pedagogical University, 2004. – P. 198-199. (pdf)

25. On syntactical approach to generic constructions // Model theory and Algebra. France-Kazakhstan Conference. 18-22 July, 2005. Abstracts. – Astana: Edition of ENU, 2005. – P. 62-63.

26. On saturated generic models // Abstracts. The 9th Asian Logic Conference. August 16-19, 2005. – Novosibirsk: Edition of NSU, 2005. – P. 132-133.

27. On syntactical generic constructions and embedding relation in the class of homogeneous models // International Algebraic Conference to the 100th birthday of P.G. Kontorovich and 70th birthday of L.N. Shevrin. Ekaterinburg (Russia). August 29 – September 3, 2005. – Ekaterinburg: Edition of Ural State University, 2005. –P. 162-165.

28. Infinite weight in stable generic bipartite directed graphs // Proceedings of International 11 Interuniversity Conference on Mathematics and Mechanics devoted to the 10-anniversary of Eurasian National University of a name of  L.N. Gumilev. – Astana: Edition of Eurasian National University of a name of  L.N. Gumilev. – P. 52.

29. Infinite weight in stable generic graphs without furcations // Methods of Logic in Mathematics III. Short abstracts of an international meeting held on June 1 - 7, 2006. – Saint-Petersburg: POMI RAN, 2006. – P. 25. (pdf)

30. Stable generic powerful digraphs // Syntax and semantics of logic systems: Proceedings of Russian School-Seminar. – Irkutsk: Edition of Irkutsk State Pedagogical University, 2006. – P. 93-96. (pdfrus)

31. On the finite closure property for fusions of generic classes // Maltsev Meeting. Novosibirsk, 2006. (pdf)

32. On prerank functions generating stable syntactic generic models // International conference “Algebra and its applications”: Abstracts of talks. – Krasnoyarsk: Edition of Siberian Federal University, 2007. – P. 179-180. (pdf)

33. On stable generic Ehrenfeucht theories (a solution of the Lachlan problem) // Mathematics in the Modern World. The Russian Conference Dedicated to the Fiftieth Anniversary of the Sobolev Institute of Mathematics, September 17-23, 2007. Abstracts. – Novosibirsk: Edition of Sobolev Institute of Mathematics, 2007. – P. 41-42. (pdf)

34. Hypergraphs of Prime Models of Small Theories // Maltsev Meeting. Novosibirsk, 2007. (pdf)

35. On numbers of countable models of small theories // Syntax and semantics of logic systems: Proceedings of Russian School-Seminar devoted to 60th anniversary of Yu.E.Shishmaryov. – Vladivostok: Dal’nauka, 2008. – P. 23-25.

 

Talks

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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