Durnev Valery Georgievich

Publications in Math-Net.Ru

1. The problem of solvability of a positive theory of an arbitrary group is algorithmically unsolvable
   
   Chebyshevskii Sb., 24:1 (2023),  40–49
2. An extension of a theorem of Neumann
   
   Mat. Tr., 26:1 (2023),  41–46
3. On equations in free monoids and semigroups with restrictions on solutions
   
   Prikl. Diskr. Mat., 2023, no. 59,  5–19
4. Violation of finite approximability for single-coefficient commutant equations
   
   Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2022, no. 2,  5–13
5. On “simple” algorithmically undecidable fragments of elementary theory of an infinitely generated free semigroup
   
   Chebyshevskii Sb., 21:4 (2020),  56–71
6. On elementary theories of algebraically closed groups
   
   Chebyshevskii Sb., 21:1 (2020),  186–199
7. Question answering system for applicant support by using modern messengers
   
   Model. Anal. Inform. Sist., 25:4 (2018),  411–420
8. On some approaches to the solution of the problem «Useful Proof-of-work for blockchains»
   
   Model. Anal. Inform. Sist., 25:4 (2018),  402–410
9. On equations and inequalities in words and word lengths
   
   Chebyshevskii Sb., 17:2 (2016),  137–145
10. On amenable subgroups of $F$-groups
    
    Chebyshevskii Sb., 17:2 (2016),  128–136
11. About the coNP-complete “Injective knapsack” problem
    
    Prikl. Diskr. Mat., 2016, no. 3(33),  85–92
12. Some of the results obtained in the Yaroslavl branch algebraic school of M. D. Grindlinger
    
    Chebyshevskii Sb., 15:4 (2014),  5–31
13. On the Tits’ alternative for subgroups of $F$-groups
    
    Chebyshevskii Sb., 15:1 (2014),  110–120
14. On automorphic reducibility for sets elements of free groups
    
    Chebyshevskii Sb., 14:3 (2013),  52–55
15. An algebraically closed groups
    
    Chebyshevskii Sb., 14:3 (2013),  49–51
16. О формулах, истинных на периодических и конечных группах
    
    Chebyshevskii Sb., 13:1 (2012),  81–85
17. Об уравнениях в свободных группах, разрешенных относительно неизвестных, с ограничениями на решения
    
    Chebyshevskii Sb., 13:1 (2012),  63–80
18. Об уравнениях в свободных группах
    
    Chebyshevskii Sb., 13:1 (2012),  59–62
19. Об одном вопросе А. И. Мальцева из “Коуровской тетради”
    
    Chebyshevskii Sb., 13:1 (2012),  54–58
20. NP-трудность проблемы разрешимости для уравнений с простой правой частью в свободной группе
    
    Chebyshevskii Sb., 13:1 (2012),  46–53
21. On one A. I. Mal'cev's Question from the “Kourovskaya Notebook”
    
    Model. Anal. Inform. Sist., 19:4 (2012),  67–71
22. On equations in free groups with restrictions on solutions
    
    Chebyshevskii Sb., 11:3 (2010),  88–97
23. On equations with subsemigroup constraints on solutions in free semigroups
    
    Chebyshevskii Sb., 11:3 (2010),  78–87
24. On equations in free semigroups with certain constraints on their solutions
    
    Zap. Nauchn. Sem. POMI, 358 (2008),  120–129
25. Undecidability of a simple fragment of a positive theory with a single constant for a free semigroup of rank two
    
    Mat. Zametki, 67:2 (2000),  191–200
26. Decision problems for groups and semigroups
    
    Uspekhi Mat. Nauk, 55:2(332) (2000),  3–94
27. On the solvability problem for equations with a single coefficient
    
    Mat. Zametki, 59:6 (1996),  832–845
28. On equations with subgroup constraints on solutions in free groups
    
    Diskr. Mat., 7:4 (1995),  60–67
29. On elementary theories of integer linear groups
    
    Izv. RAN. Ser. Mat., 59:5 (1995),  41–58
30. Undecidability of the positive $\forall\exists^3$-theory of a free semigroup
    
    Sibirsk. Mat. Zh., 36:5 (1995),  1067–1080
31. Equations with constraints on the solution in free groups
    
    Mat. Zametki, 53:1 (1993),  36–40
32. Equations with endomorphisms in free semigroups
    
    Diskr. Mat., 4:2 (1992),  136–141
33. On equations in words and lengths with endomorphisms
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1992, no. 8,  30–34
34. Generalization of problem 9.25 from “the Kourovka notebook”
    
    Mat. Zametki, 47:2 (1990),  15–19
35. The Mal'tsev–Nielsen equation in a free metabelian group of rank two
    
    Mat. Zametki, 46:6 (1989),  57–60
36. On equations in free semigroups and groups
    
    Mat. Zametki, 16:5 (1974),  717–724
37. Positive formulae on free semigroups
    
    Sibirsk. Mat. Zh., 15:5 (1974),  1131–1137
38. Positive theory of a free semigroup
    
    Dokl. Akad. Nauk SSSR, 211:4 (1973),  772–774


39. Ashot Enofovich Ustyn (1.09.1937 – 9.06.2024)
    
    Chebyshevskii Sb., 25:2 (2024),  366–367
40. Martin Davidovich Grindlinger (25.03.1932 – 20.05.2024)
    
    Chebyshevskii Sb., 25:2 (2024),  362–363
41. Very subjective memories-reflections
    
    Chebyshevskii Sb., 15:4 (2014),  180–189
42. Arkadii L'vovich Onishchik (on his 70th birthday)
    
    Uspekhi Mat. Nauk, 58:6(354) (2003),  193–200