Defining relations and algorithmic problems for groups and semigroups
This book is cited in the following Math-Net.Ru publications:
Planar varieties of semigroups D. V. Solomatin Sib. Èlektron. Mat. Izv., 2015, 12 , 232–247 New estimates of odd exponents of infinite Burnside groups S. I. Adian Trudy Mat. Inst. Steklova, 2015, 289 , 41–82 Sequences close to periodic An. A. Muchnik, Yu. L. Pritykin, A. L. Semenov Uspekhi Mat. Nauk, 2009, 64 :5(389) , 21–96 Relative Gröbner–Shirshov bases for algebras and groups L. A. Bokut', K. P. Shum Algebra i Analiz, 2007, 19 :6 , 1–21 Some Conditions for the Embeddability of Semigroups in Groups E. V. Kashincev Mat. Zametki, 2001, 70 :5 , 705–717 Decision problems for groups and semigroups S. I. Adian, V. G. Durnev Uspekhi Mat. Nauk, 2000, 55 :2(332) , 3–94 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 Semigroups presented by one relation and satisfying the Church–Rosser property Yu. E. Trubitsyn Mat. Zametki, 1997, 61 :1 , 114–118 Conditions for embeddability of semigroups in groups V. S. Guba Mat. Zametki, 1994, 56 :2 , 3–14 On the divisibility problem for one-relator monoids S. I. Adian Mat. Zametki, 1994, 55 :1 , 3–9 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 Embedding of rings L. A. Bokut' Uspekhi Mat. Nauk, 1987, 42 :4(256) , 87–111 On semigroups with one relation and semigroups without cycles G. U. Oganesyan Izv. Akad. Nauk SSSR Ser. Mat., 1982, 46 :1 , 88–94 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 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 On the word problem for special semigroups E. V. Kashincev Izv. Akad. Nauk SSSR Ser. Mat., 1978, 42 :6 , 1401–1416 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 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 Fully ordered semigroups and their applications E. Ya. Gabovich Uspekhi Mat. Nauk, 1976, 31 :1(187) , 137–201
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
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