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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

1966, Volume 85

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Defining relations and algorithmic problems for groups and semigroups



This book is cited in the following Math-Net.Ru publications:
  1. Planar varieties of semigroups
    D. V. Solomatin
    Sib. Èlektron. Mat. Izv., 2015, 12, 232–247
  2. New estimates of odd exponents of infinite Burnside groups
    S. I. Adian
    Trudy Mat. Inst. Steklova, 2015, 289, 41–82
  3. Sequences close to periodic
    An. A. Muchnik, Yu. L. Pritykin, A. L. Semenov
    Uspekhi Mat. Nauk, 2009, 64:5(389), 21–96
  4. Relative Gröbner–Shirshov bases for algebras and groups
    L. A. Bokut', K. P. Shum
    Algebra i Analiz, 2007, 19:6, 1–21
  5. Some Conditions for the Embeddability of Semigroups in Groups
    E. V. Kashincev
    Mat. Zametki, 2001, 70:5, 705–717
  6. Decision problems for groups and semigroups
    S. I. Adian, V. G. Durnev
    Uspekhi Mat. Nauk, 2000, 55:2(332), 3–94
  7. On the relationship between the problems of equality and divisibility of words for semigroups with a single defining relation
    V. S. Guba
    Izv. RAN. Ser. Mat., 1997, 61:6, 27–58
  8. Semigroups presented by one relation and satisfying the Church–Rosser property
    Yu. E. Trubitsyn
    Mat. Zametki, 1997, 61:1, 114–118
  9. Conditions for embeddability of semigroups in groups
    V. S. Guba
    Mat. Zametki, 1994, 56:2, 3–14
  10. On the divisibility problem for one-relator monoids
    S. I. Adian
    Mat. Zametki, 1994, 55:1, 3–9
  11. On satisfiability of the $C'\left(\frac 13\right)$ and $C(4)$ conditions for special homogeneous semigroups with defining word-powers
    E. V. Kashincev
    Mat. Zametki, 1993, 54:3, 40–47
  12. Embedding of rings
    L. A. Bokut'
    Uspekhi Mat. Nauk, 1987, 42:4(256), 87–111
  13. On semigroups with one relation and semigroups without cycles
    G. U. Oganesyan
    Izv. Akad. Nauk SSSR Ser. Mat., 1982, 46:1, 88–94
  14. On the word and divisibility problems in semigroups and groups without cycles
    O. A. Sarkisyan
    Izv. Akad. Nauk SSSR Ser. Mat., 1981, 45:6, 1424–1440
  15. Some relations between the word and divisibility problems in groups and semigroups
    O. A. Sarkisyan
    Izv. Akad. Nauk SSSR Ser. Mat., 1979, 43:4, 909–921
  16. On the word problem for special semigroups
    E. V. Kashincev
    Izv. Akad. Nauk SSSR Ser. Mat., 1978, 42:6, 1401–1416
  17. On the problems of equality and divisibility of words in a semigroup with a defining relation of the from
    G. U. Oganesyan
    Izv. Akad. Nauk SSSR Ser. Mat., 1978, 42:3, 602–612
  18. On the word and divisibility problems in semigroups with a single defining relation
    S. I. Adian, G. U. Oganesyan
    Izv. Akad. Nauk SSSR Ser. Mat., 1978, 42:2, 219–225
  19. Fully ordered semigroups and their applications
    E. Ya. Gabovich
    Uspekhi Mat. Nauk, 1976, 31:1(187), 137–201


  20. Sergei Ivanovich Adian (on his 75th birthday)
    L. D. Beklemishev, I. G. Lysenok, A. A. Mal'tsev, S. P. Novikov, M. R. Pentus, A. A. Razborov, A. L. Semenov, V. A. Uspenskii
    Uspekhi Mat. Nauk, 2006, 61:3(369), 179–191


© Steklov Math. Inst. of RAS, 2025