Edit Profile (opens in new tab) Bokut, Leonid A. Co-Author Distance Author ID: bokut.leonid-a Published as: Bokut’, L. A.; Bokut, L. A.; Bokut, Leonid A.; Bokut, Leonid; Bokut, L. more...less External Links: Math-Net.Ru Documents Indexed: 150 Publications since 1962, including 5 Books and 3 Additional arXiv Preprints 15 Contributions as Editor Reviewing Activity: 153 Reviews Biographic References: 3 Publications Co-Authors: 161 Co-Authors with 96 Joint Publications 3,917 Co-Co-Authors all top 5 Co-Authors 65 single-authored 29 Chen, Yuqun 12 Shestakov, Ivan Pavlovich 11 Kuz’min, E. N. 9 Ershov, Yuriĭ Leonidovich 7 Fong, Yuen 6 Kostrikin, Alekseĭ Ivanovich 6 Kutateladze, Semën Samsonovich 6 Li, Yu 6 Reshetnyak, Yuriĭ Grigor’evich 6 Shirshov, Anatoliĭ Illarionovich 6 Zhang, Zerui 5 Ke, Wen-Fong 5 Kharchenko, Vladislav K. 5 Kolesnikov, Pavel Sergeevich 5 Shum, Kar-Ping 4 Kargapolov, Mikhail Ivanovich 4 Latyshev, Viktor Nikolaevich 4 Mo, Qiuhui 4 Novikov, Sergeĭ Petrovich 4 Taĭmanov, Iskander Asanovich 4 Zel’manov, Efim Isaakovich 4 Zhevlakov, K. A. 3 Kanel’-Belov, Alekseĭ Yakovlevich 3 Kukin, G. P. 3 Malcolmson, Peter 3 Mikhalëv, Aleksandr Vasil’evich 3 Ol’shanskiĭ, Aleksandr Yur’evich 3 Shiao, Long-Sheng 3 Vesnin, Andrei Yu. 2 Artamonov, Vyacheslav Aleksandrovich 2 Bardakov, Valeriĭ Georgievich 2 Belegradek, Oleg V. 2 Borisenko, Vladimir V. 2 Bunina, Elena Igor’evna 2 Chaynikov, V. V. 2 Chen, Yongshan 2 Dekhtyar, Alexander M. 2 Gurevich, Yuri 2 Guterman, Alexander Èmilevich 2 Kac, Victor 2 Kemer, Aleksandr Robertovich 2 Kolmogorov, Andreĭ Nikolaevich 2 Lavrent’ev, Mikhail Mikhaĭlovich 2 L’vov, I. V. 2 Makar-Limanov, Leonid G. 2 Matiyasevich, Yuriĭ Vladimirovich 2 Obul, Abdukadir 2 Parshin, Alekseĭ Nikolaevich 2 Platonov, Vladimir Petrovich 2 Prokhorov, Yuriĭ Gennad’evich 2 Shafarevich, Andreĭ Igorevich 2 Slinko, Arkadii M. 2 Smirnov, Dmitrii Matveevich 2 Sobolev, Sergeĭ L’vovich 2 Vershik, Anatoliĭ Moiseevich 2 Viro, Oleg Ya. 2 Vodop’yanov, Sergeĭ Konstantinovich 2 Zaĭtsev, Mikhail Vladimirovich 1 Adrianov, Nikolai M. 1 Aleksandrov, Aleksandr Danilovich 1 Aleksandrov, Igor’ Aleksandrovich 1 Arkhangel’skiĭ, Dmitriĭ A. 1 Artemov, Sergei 1 Bahturin, Yuri 1 Baizhanov, Bektur Sembiuly 1 Balaba, Irina Nikolaevna 1 Bārzdiņš, Jānis 1 Beidar, Konstantin Igorevich 1 Belyaev, V. Ya. 1 Bremner, Murray R. 1 Bukhshtaber, Viktor Matveevich 1 Chainikov, V. V. 1 Chen, Weiping 1 Chibrikov, E. S. 1 Chubarov, Igor A. 1 Daderkin, Dmitri O. 1 Dikovsky, Alexander Yakovlevich 1 Dubrovin, Nikolaĭ Ivanovich 1 Dudakov, Sergey M. 1 Gaifullin, Sergey A. 1 Gitik, Moti 1 Glavatskiĭ, Sergeĭ Timofeevich 1 Golod, Evgeniĭ Solomonovich 1 Golubchik, Igor Z. 1 González, Santos 1 Grigorchuk, Rostislav Ivanovich 1 Grishin, Aleksandr V. 1 Hazewinkel, Michiel 1 Huang, Jiapeng 1 Ilyina, N. K. 1 Kalorkoti, Kyriakos 1 Kang, Seok-Jin 1 Kanunnikov, Andrei Leonidovich 1 Kharlampovich, Olga G. 1 Kislitsyn, E. S. 1 Klyachko, Anton Aleksandrovich 1 Kochetov, Mikhail Viktorovich 1 Kozhukhov, Igor’ Borisovich 1 Kreĭnes, Elena M. 1 Krushkal, Samuel L. ...and 61 more Co-Authors all top 5 Serials 16 Algebra i Logika 10 Journal of Algebra 10 Siberian Mathematical Journal 9 International Journal of Algebra and Computation 8 Sibirskiĭ Matematicheskiĭ Zhurnal 7 Communications in Algebra 7 Algebra and Logic 6 Russian Mathematical Surveys 4 Soviet Mathematics. Doklady 4 Journal of Mathematical Sciences (New York) 4 Contemporary Mathematics 3 Southeast Asian Bulletin of Mathematics 3 Translations. Series 2. American Mathematical Society 2 Uspekhi Matematicheskikh Nauk [N. S.] 2 Journal of Pure and Applied Algebra 2 Journal of Symbolic Computation 2 Siberian Advances in Mathematics 2 Pokroky Matematiky, Fyziky & Astronomie 2 Serdica 1 Discrete Mathematics 1 Israel Journal of Mathematics 1 Mathematical Notes 1 Matematicheskie Zametki 1 The Mathematical Intelligencer 1 Colloquium Mathematicum 1 Illinois Journal of Mathematics 1 Journal of Soviet Mathematics 1 Mathematics of the USSR. Izvestiya 1 Soviet Mathematics 1 Science in China. Series A 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Itogi Nauki i Tekhniki. Seriya Algebra. Topologiya. Geometriya 1 St. Petersburg Mathematical Journal 1 Buletinul Academiei de Științe a Republicii Moldova. Matematica 1 Fundamental’naya i Prikladnaya Matematika 1 Izvestiya Ural’skogo Gosudarstvennogo Universiteta. Matematika i Mekhanika 1 Journal of South China Normal University. Natural Science Edition 1 Journal of Algebra and its Applications 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Fundamental’nye Napravleniya 1 Mathematics and its Applications (Dordrecht) 1 Proceedings of the Steklov Institute of Mathematics 1 Bulletin of Mathematical Sciences 1 Journal of Siberian Federal University. Mathematics & Physics 1 Contemporary Mathematicians all top 5 Fields 82 Associative rings and algebras (16-XX) 77 Nonassociative rings and algebras (17-XX) 48 Group theory and generalizations (20-XX) 33 Commutative algebra (13-XX) 20 History and biography (01-XX) 13 General and overarching topics; collections (00-XX) 12 Mathematical logic and foundations (03-XX) 10 General algebraic systems (08-XX) 5 Field theory and polynomials (12-XX) 4 Algebraic geometry (14-XX) 4 Computer science (68-XX) 3 Category theory; homological algebra (18-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Manifolds and cell complexes (57-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 110 Publications have been cited 1,096 times in 487 Documents Cited by ▼ Year ▼ Algorithmic and combinatorial algebra. Zbl 0826.17002 Bokut’, L. A.; Kukin, G. P. 71 1994 Gröbner-Shirshov bases and their calculation. Zbl 1350.13001 Bokut, L. A.; Chen, Yuqun 66 2014 Gröbner-Shirshov bases for associative algebras with multiple operators and free Rota-Baxter algebras. Zbl 1213.16014 Bokut, L. A.; Chen, Yuqun; Qiu, Jianjun 48 2010 Embeddings into simple associative algebras. Zbl 0355.16012 Bokut’, L. A. 46 1977 Gröbner-Shirshov bases for dialgebras. Zbl 1245.17001 Bokut, L. A.; Chen, Yuqun; Liu, Cihua 40 2010 Rings. 3. Bibliography. (Кольца. III. Библиография.) Zbl 0267.17003 39 1973 Gröbner-Shirshov bases: from their inception to the present time. Zbl 1069.16026 Bokut’, L. A.; Kolesnikov, P. S. 33 2000 Composition-diamond lemma for associative conformal algebras. Zbl 1108.17006 Bokut, L. A.; Fong, Y.; Ke, W.-F. 30 2004 Gröbner-Shirshov bases for Coxeter groups. Zbl 1065.17006 Bokut’, L. A.; Shiao, L.-S. 26 2001 Gröbner and Gröbner-Shirshov bases in algebra and conformal algebras. Zbl 0990.17007 Bokut’, L. A.; Fong, Y.; Ke, W.-F.; Kolesnikov, P. S. 25 2000 Gröbner-Shirshov bases for Rota-Baxter algebras. Zbl 1235.16021 Bokut, L. A.; Chen, Yu.; Deng, X. 25 2010 Gröbner-Shirshov bases for quantum enveloping algebras. Zbl 0910.17004 Bokut, L.; Malcolmson, P. 24 1996 Einbettungen in einfache assoziative Algebren. Zbl 0349.16007 Bokut’, L. A. 22 1976 Gröbner-Shirshov bases for Lie superalgebras and their universal enveloping algebras. Zbl 0931.17008 Bokut, Leonid A.; Kang, Seok-Jin; Lee, Kyu-Hwan; Malcolmson, Peter 21 1999 Serre relations and Gröbner-Shirshov bases for simple Lie algebras. I. Zbl 0866.17007 Bokut, L. A.; Klein, A. A. 21 1996 Selected works of A. I. Shirshov. Translated by Murray Bremner and Mikhail V. Kotchetov. Edited by Leonid A. Bokut, Victor Latyshev, Ivan Shestakov and Efim Zelmanov. Zbl 1188.01028 Shirshov, A. I. 20 2009 A base of free polynilpotent Lie algebras. Zbl 0161.03604 Bokut’, L. A. 19 1963 Gröbner-Shirshov bases: some new results. Zbl 1207.16023 Bokut’, L. A.; Chen, Yuqun 19 2008 Gröbner-Shirshov basis for the braid group in the Birman-Ko-Lee generators. Zbl 1176.20036 Bokut, L. A. 19 2009 Gröbner-Shirshov bases for Lie algebras: after A. I. Shirshov. Zbl 1150.17008 Bokut, L. A.; Chen, Yuqun 18 2007 Gröbner-Shirshov bases and embeddings of algebras. Zbl 1236.16022 Bokut, L. A.; Chen, Yuqun; Mo, Qiuhui 17 2010 Gröbner-Shirshov basis for the braid group in the Artin-Garside generators. Zbl 1176.20035 Bokut, L. A. 17 2008 Gröbner-Shirshov bases and composition lemma for associative conformal algebras: an example. Zbl 1063.16031 Bokut’, L. A.; Fong, Y.; Ke, W.-F. 16 2000 Gröbner-Shirshov bases method for Gelfand-Dorfman-Novikov algebras. Zbl 1405.17060 Bokut, L. A.; Chen, Yuqun; Zhang, Zerui 16 2017 Gröbner-Shirshov bases for semirings. Zbl 1286.16038 Bokut, L. A.; Chen, Yuqun; Mo, Qiuhui 15 2013 Gröbner-Shirshov bases, conformal algebras, and pseudo-algebras. Zbl 1150.16020 Bokut’, L. A.; Kolesnikov, P. S. 15 2005 Composition-diamond lemma for tensor product of free algebras. Zbl 1198.16022 Bokut, L. A.; Chen, Yuqun; Chen, Yongshan 14 2010 On free Gelfand-Dorfman-Novikov-Poisson algebras and a PBW theorem. Zbl 1456.17001 Bokut, L. A.; Chen, Yuqun; Zhang, Zerui 13 2018 Some new results on Gröbner-Shirshov bases. Zbl 1264.16025 Bokut, L. A.; Chen, Yuqun; Shum, K. P. 13 2012 Gröbner-Shirshov bases for exceptional Lie algebras. I. Zbl 0923.17014 Bokut’, L. A.; Klein, A. A. 12 1998 Gröbner-Shirshov bases for free inverse semigroups. Zbl 1173.20039 Bokut, L. A.; Chen, Yuqun; Zhao, Xiangui 12 2009 Gröbner-Shirshov bases for relations of a Lie algebra and its enveloping algebra. Zbl 0952.17008 Bokut, L. A.; Malcolmson, P. 11 1999 Gröbner-Shirshov bases for some braid groups. Zbl 1126.20023 Bokut, Leonid; Vesnin, Andrei 11 2006 Gröbner-Shirshov bases for categories. Zbl 1300.16023 Bokut, L. A.; Chen, Yuqun; Li, Yu 10 2012 Gröbner-Shirshov bases for the braid semigroup. Zbl 1053.20049 Bokut, L. A.; Fong, Y.; Ke, W.-F.; Shiao, L.-S. 10 2003 Unsolvability of the equality problem and subalgebras of finitely presented Lie algebras. Zbl 0275.02041 Bokut’, L. A. 9 1974 Gröbner-Shirshov bases for the exceptional Lie algebras \(E_6,E_7,E_8\). Zbl 0952.17007 Bokut, L. A.; Klein, A. A. 9 1999 New approaches to plactic monoid via Gröbner-Shirshov bases. Zbl 1309.16014 Bokut, L. A.; Chen, Yuqun; Chen, Weiping; Li, Jing 9 2015 Free associative conformal algebras. Zbl 1056.16020 Bokut, L. A.; Fong, Y.; Ke, W.-F. 9 2000 Gröbner-Shirshov basis of the Adyan extension of the Novikov group. Zbl 1158.20015 Bokut, L. A.; Chainikov, V. V. 9 2008 Markov and Artin normal form theorem for braid groups. Zbl 1169.20019 Bokut, L. A.; Chaynikov, V. V.; Shum, K. P. 9 2007 Associative rings. Part I. Ring constructions. Textbook. (Ассоциативные кольца. ЧастьИ. Кольцевые конструкции. Учебное пособие.) Zbl 0459.16001 Bokut’, L. A. 8 1977 Gröbner-Shirshov bases for Vinberg-Koszul-Gerstenhaber right-symmetric algebras. Zbl 1288.17001 Bokut’, L. A.; Chen, Yuqun; Li, Yu 8 2010 Degrees of unsolvability of the conjugacy problem for finitely presented groups. Zbl 0182.01803 Bokut’, L. A. 8 1968 Gröbner-Shirshov bases for Lie algebras over a commutative algebra. Zbl 1263.17003 Bokut, L. A.; Chen, Yuqun; Chen, Yongshan 8 2011 Lyndon-Shirshov basis and anti-commutative algebras. Zbl 1297.17004 Bokut, L. A.; Chen, Yuqun; Li, Yu 8 2013 Gröbner-Shirshov bases for \(L\)-algebras. Zbl 1282.17004 Bokut, L. A.; Chen, Yuqun; Huang, Jiapeng 8 2013 The Jacobian conjecture, together with Specht and Burnside-type problems. Zbl 1327.14256 Belov, Alexei; Bokut, Leonid; Rowen, Louis; Yu, Jie-Tai 7 2014 Die Unlösbarkeit eines Identitätsproblems und Unteralgebren endlich definiter Liealgebren. Zbl 0252.02046 Bokut’, L. A. 7 1972 Gröbner-Shirshov bases. Normal forms, combinatorial and decision problems in algebra. Zbl 1448.13001 Bokut, Leonid; Chen, Yuqun; Kalorkoti, Kyriakos; Kolesnikov, Pavel; Lopatkin, Viktor 7 2020 Lyndon-Shirshov words, Gröbner-Shirshov bases, and free Lie algebras. Zbl 1330.17001 Bokut, L.; Chibrikov, E. S. 7 2006 On a problem of Mal’tsev. Zbl 0213.31902 Bokut’, L. A. 7 1969 A basis of a free metabelian associative algebra. Zbl 0774.16009 Bokut’, L. A.; Makar-Limanov, L. G. 7 1991 Einige Einbettungssätze für Ringe und Halbgruppen. I, II. Zbl 0136.02204 Bokut’, L. A. 6 1963 On a property of Boone groups. II. Zbl 0189.01201 Bokut’, L. A. 6 1967 Relative Gröbner-Shirshov bases for algebras and groups. Zbl 1206.16016 Bokut, L. A.; Shum, K. P. 6 2008 Novikov’s centrally symmetric group. Zbl 0601.20038 Bokut’, L. A. 5 1985 Non-commutative rings. Zbl 0687.16001 Bokut’, L. A.; L’vov, I. V.; Kharchenko, V. K. 5 1988 Embedding of rings. Zbl 0632.16001 Bokut’, L. A. 5 1987 Imbedding of algebras into algebraically closed algebras. Zbl 0173.02903 Bokut’, L. A. 5 1962 Quotient groups of the multiplicative semigroups of certain rings. I, II. Zbl 0213.31801 Bokut’, L. A. 5 1969 Anti-commutative Gröbner-Shirshov basis of a free Lie algebra. Zbl 1190.16034 Bokut, L. A.; Chen, YuQun; Li, Yu 5 2009 Serre relations and Gröbner-Shirshov bases for simple Lie algebras. II. Zbl 0866.17008 Bokut, L. A.; Klein, A. A. 4 1996 Free Gelfand-Dorfman-Novikov superalgebras and a Poincaré-Birkhoff-Witt type theorem. Zbl 1444.17001 Zhang, Zerui; Chen, Yuqun; Bokut, Leonid A. 4 2019 Gröbner-Shirshov basis for the Temperley-Lieb-Kauffman monoid. Zbl 1191.16024 Bokut’, L. A.; Lee, D. V. 4 2005 On algebraically closed and simple Lie algebras. Zbl 0443.17007 Bokut’, L. A. 3 1978 Prime rings with semigroup generalized identity. Zbl 0949.16022 Beidar, K. I.; Fong, Y.; Bokut’, L. A. 3 2000 Some algorithmic problems for Poisson algebras. Zbl 1462.17024 Zhang, Zerui; Chen, Yuqun; Bokut, Leonid A. 3 2019 Some new results on Gröbner-Shirshov bases for Lie algebras and around. Zbl 1404.16022 Bokut, L. A.; Chen, Yuqun; Obul, Abdukadir 3 2018 Unsolvable algorithmic problems for semigroups, groups and rings. Zbl 0666.20017 Bokut’, L. A.; Kukin, G. P. 3 1989 Gröbner and Gröbner-Shirshov bases in algebra: an elementary approach. Zbl 1133.16037 Bokut, L. A.; Shum, K. P. 3 2005 Embedding of rings into skew fields. Zbl 0159.04401 Bokut’, L. A. 3 1967 Über eine Eigenschaft der Booneschen Gruppen. I. Zbl 0189.01103 Bokut’, L. A. 3 1966 Algorithmic problems and imbedding theorems: Some open questions for rings, groups, and semigroups. Zbl 0513.17001 Bokut’, L. A. 3 1982 In memory of Anatolij Illarionovich Shirshov. Zbl 0468.01012 Bokut’, L. A.; Ershov, Yu. L.; Kolmogorov, A. N.; Kostrikin, A. I.; Kuz’min, E. N.; Latyshev, V. N.; Sobolev, S. L.; Shestakov, I. P. 2 1981 Groups with relative standard basis. Zbl 0317.20023 Bokut’, L. A. 2 1968 Gröbner-Shirshov bases for free Gelfand-Dorfman-Novokov algebras and for right ideals of free right Leibniz algebras. Zbl 1397.13032 Tuniyaz, Rabigul; Bokut, L. A.; Xiryazidin, Marhaba; Obul, Abdukadir 2 2018 Noncommutative rings. Zbl 0725.16003 Bokut’, L. A.; L’vov, I. V.; Kharchenko, V. K. 2 1991 Unsolvable algorithmic problems for semigroups, groups and rings. Zbl 0632.20024 Bokut’, L. A.; Kukin, G. P. 2 1987 Some results by A. I. Shirshov and his school. Zbl 0841.16002 Bokut’, L. A.; Shestakov, I. P. 2 1995 Twisted conjugacy in free groups and Makanin’s question. Zbl 1086.20020 Bardakov, Valerij; Bokut, Leonid; Vesnin, Andrei 2 2005 Einbettung Liescher Algebren in algebraisch abgeschlossene Liesche Algebren. Zbl 0156.03902 Bokut’, L. A. 2 1962 Über Novikovsche Gruppen. Zbl 0165.31804 Bokut’, L. A. 2 1967 Quotient groups of the multiplicative semigroups of certain rings. III. Zbl 0213.31901 Bokut’, L. A. 2 1969 Unentscheidbarkeit gewisser algorithmischer Probleme in der Klasse der assoziativen Ringe. Zbl 0216.01001 Bokut’, L. A. 2 1970 On nilpotent Lie algebras. Zbl 0225.17001 Bokut’, L. A. 2 1971 Abstract semigroups and groups of formal series of dependent variables. Zbl 0874.20041 Bokut’, L. A. 2 1996 Some questions of combinatorial algebra. Zbl 0542.16013 Bokut’, L. A. 2 1983 Gröbner-Shirshov bases for algebras, groups, and semigroups. Zbl 1045.16011 Bokut, L.; Fong, Y.; Shiao, L.-S. 2 2003 Decision problems for ring theory. Zbl 0439.17001 Bokut’, L. A. 1 1980 Certain questions of ring theory. Zbl 0439.17002 Bokut’, L. A. 1 1977 Malcev’s problem and groups with a normal form. Zbl 0444.20029 Bokut’, L. A. 1 1980 Unsolvability of the word problem for Lie algebras. Zbl 0267.02032 Bokut’, L. A. 1 1972 The Gröbner–Shirshov bases method. Zbl 0902.17001 Bokut’, L. A. 1 1997 On the Novikov and Boone-Borisov groups. Zbl 0591.20034 Bokut’, L. A. 1 1986 Associative rings. Part 2. Categories of modules. Imbedding in skew fields. (Ассоциативные кольца. Часть2. Категории модулей. Вложения в тела.) Zbl 0598.16001 Bokut’, L. A. 1 1981 Embedding of rings. Zbl 0644.16001 Bokut’, L. A. 1 1987 On the conjugacy problem for cyclic extensions of free groups. Zbl 1090.20022 Bardakov, Valerij; Bokut, Leonid; Vesnin, Andrei 1 2005 Faktorisationssätze für gewisse Ringklassen ohne Nullteiler. I. Zbl 0213.31701 Bokut’, L. A. 1 1965 Faktorisationssätze für gewisse Ringklassen ohne Nullteiler. II. Zbl 0213.31702 Bokut’, L. A. 1 1965 Gröbner-Shirshov bases. Normal forms, combinatorial and decision problems in algebra. Zbl 1448.13001 Bokut, Leonid; Chen, Yuqun; Kalorkoti, Kyriakos; Kolesnikov, Pavel; Lopatkin, Viktor 7 2020 Free Gelfand-Dorfman-Novikov superalgebras and a Poincaré-Birkhoff-Witt type theorem. Zbl 1444.17001 Zhang, Zerui; Chen, Yuqun; Bokut, Leonid A. 4 2019 Some algorithmic problems for Poisson algebras. Zbl 1462.17024 Zhang, Zerui; Chen, Yuqun; Bokut, Leonid A. 3 2019 On free Gelfand-Dorfman-Novikov-Poisson algebras and a PBW theorem. Zbl 1456.17001 Bokut, L. A.; Chen, Yuqun; Zhang, Zerui 13 2018 Some new results on Gröbner-Shirshov bases for Lie algebras and around. Zbl 1404.16022 Bokut, L. A.; Chen, Yuqun; Obul, Abdukadir 3 2018 Gröbner-Shirshov bases for free Gelfand-Dorfman-Novokov algebras and for right ideals of free right Leibniz algebras. Zbl 1397.13032 Tuniyaz, Rabigul; Bokut, L. A.; Xiryazidin, Marhaba; Obul, Abdukadir 2 2018 Gröbner-Shirshov bases method for Gelfand-Dorfman-Novikov algebras. Zbl 1405.17060 Bokut, L. A.; Chen, Yuqun; Zhang, Zerui 16 2017 New approaches to plactic monoid via Gröbner-Shirshov bases. Zbl 1309.16014 Bokut, L. A.; Chen, Yuqun; Chen, Weiping; Li, Jing 9 2015 Gröbner-Shirshov bases and their calculation. Zbl 1350.13001 Bokut, L. A.; Chen, Yuqun 66 2014 The Jacobian conjecture, together with Specht and Burnside-type problems. Zbl 1327.14256 Belov, Alexei; Bokut, Leonid; Rowen, Louis; Yu, Jie-Tai 7 2014 Gröbner-Shirshov bases for semirings. Zbl 1286.16038 Bokut, L. A.; Chen, Yuqun; Mo, Qiuhui 15 2013 Lyndon-Shirshov basis and anti-commutative algebras. Zbl 1297.17004 Bokut, L. A.; Chen, Yuqun; Li, Yu 8 2013 Gröbner-Shirshov bases for \(L\)-algebras. Zbl 1282.17004 Bokut, L. A.; Chen, Yuqun; Huang, Jiapeng 8 2013 Gröbner-Shirshov bases and PBW theorems. Zbl 1522.16025 Bokut, Leonid A.; Chen, Yuqun 1 2013 Some new results on Gröbner-Shirshov bases. Zbl 1264.16025 Bokut, L. A.; Chen, Yuqun; Shum, K. P. 13 2012 Gröbner-Shirshov bases for categories. Zbl 1300.16023 Bokut, L. A.; Chen, Yuqun; Li, Yu 10 2012 Gröbner-Shirshov bases for Lie algebras over a commutative algebra. Zbl 1263.17003 Bokut, L. A.; Chen, Yuqun; Chen, Yongshan 8 2011 Gröbner-Shirshov bases for associative algebras with multiple operators and free Rota-Baxter algebras. Zbl 1213.16014 Bokut, L. A.; Chen, Yuqun; Qiu, Jianjun 48 2010 Gröbner-Shirshov bases for dialgebras. Zbl 1245.17001 Bokut, L. A.; Chen, Yuqun; Liu, Cihua 40 2010 Gröbner-Shirshov bases for Rota-Baxter algebras. Zbl 1235.16021 Bokut, L. A.; Chen, Yu.; Deng, X. 25 2010 Gröbner-Shirshov bases and embeddings of algebras. Zbl 1236.16022 Bokut, L. A.; Chen, Yuqun; Mo, Qiuhui 17 2010 Composition-diamond lemma for tensor product of free algebras. Zbl 1198.16022 Bokut, L. A.; Chen, Yuqun; Chen, Yongshan 14 2010 Gröbner-Shirshov bases for Vinberg-Koszul-Gerstenhaber right-symmetric algebras. Zbl 1288.17001 Bokut’, L. A.; Chen, Yuqun; Li, Yu 8 2010 Selected works of A. I. Shirshov. Translated by Murray Bremner and Mikhail V. Kotchetov. Edited by Leonid A. Bokut, Victor Latyshev, Ivan Shestakov and Efim Zelmanov. Zbl 1188.01028 Shirshov, A. I. 20 2009 Gröbner-Shirshov basis for the braid group in the Birman-Ko-Lee generators. Zbl 1176.20036 Bokut, L. A. 19 2009 Gröbner-Shirshov bases for free inverse semigroups. Zbl 1173.20039 Bokut, L. A.; Chen, Yuqun; Zhao, Xiangui 12 2009 Anti-commutative Gröbner-Shirshov basis of a free Lie algebra. Zbl 1190.16034 Bokut, L. A.; Chen, YuQun; Li, Yu 5 2009 Gröbner-Shirshov bases: some new results. Zbl 1207.16023 Bokut’, L. A.; Chen, Yuqun 19 2008 Gröbner-Shirshov basis for the braid group in the Artin-Garside generators. Zbl 1176.20035 Bokut, L. A. 17 2008 Gröbner-Shirshov basis of the Adyan extension of the Novikov group. Zbl 1158.20015 Bokut, L. A.; Chainikov, V. V. 9 2008 Relative Gröbner-Shirshov bases for algebras and groups. Zbl 1206.16016 Bokut, L. A.; Shum, K. P. 6 2008 Gröbner-Shirshov bases for Lie algebras: after A. I. Shirshov. Zbl 1150.17008 Bokut, L. A.; Chen, Yuqun 18 2007 Markov and Artin normal form theorem for braid groups. Zbl 1169.20019 Bokut, L. A.; Chaynikov, V. V.; Shum, K. P. 9 2007 Markov and Artin normal form theorem for braid groups. Zbl 1167.20326 Bokut, L. A.; Chaynikov, V. V.; Shum, K. P. 1 2007 Gröbner-Shirshov bases for some braid groups. Zbl 1126.20023 Bokut, Leonid; Vesnin, Andrei 11 2006 Lyndon-Shirshov words, Gröbner-Shirshov bases, and free Lie algebras. Zbl 1330.17001 Bokut, L.; Chibrikov, E. S. 7 2006 Gröbner-Shirshov bases, conformal algebras, and pseudo-algebras. Zbl 1150.16020 Bokut’, L. A.; Kolesnikov, P. S. 15 2005 Gröbner-Shirshov basis for the Temperley-Lieb-Kauffman monoid. Zbl 1191.16024 Bokut’, L. A.; Lee, D. V. 4 2005 Gröbner and Gröbner-Shirshov bases in algebra: an elementary approach. Zbl 1133.16037 Bokut, L. A.; Shum, K. P. 3 2005 Twisted conjugacy in free groups and Makanin’s question. Zbl 1086.20020 Bardakov, Valerij; Bokut, Leonid; Vesnin, Andrei 2 2005 On the conjugacy problem for cyclic extensions of free groups. Zbl 1090.20022 Bardakov, Valerij; Bokut, Leonid; Vesnin, Andrei 1 2005 Composition-diamond lemma for associative conformal algebras. Zbl 1108.17006 Bokut, L. A.; Fong, Y.; Ke, W.-F. 30 2004 Gröbner-Shirshov bases for the braid semigroup. Zbl 1053.20049 Bokut, L. A.; Fong, Y.; Ke, W.-F.; Shiao, L.-S. 10 2003 Gröbner-Shirshov bases for algebras, groups, and semigroups. Zbl 1045.16011 Bokut, L.; Fong, Y.; Shiao, L.-S. 2 2003 Gröbner-Shirshov bases for Coxeter groups. Zbl 1065.17006 Bokut’, L. A.; Shiao, L.-S. 26 2001 Gröbner-Shirshov bases: from their inception to the present time. Zbl 1069.16026 Bokut’, L. A.; Kolesnikov, P. S. 33 2000 Gröbner and Gröbner-Shirshov bases in algebra and conformal algebras. Zbl 0990.17007 Bokut’, L. A.; Fong, Y.; Ke, W.-F.; Kolesnikov, P. S. 25 2000 Gröbner-Shirshov bases and composition lemma for associative conformal algebras: an example. Zbl 1063.16031 Bokut’, L. A.; Fong, Y.; Ke, W.-F. 16 2000 Free associative conformal algebras. Zbl 1056.16020 Bokut, L. A.; Fong, Y.; Ke, W.-F. 9 2000 Prime rings with semigroup generalized identity. Zbl 0949.16022 Beidar, K. I.; Fong, Y.; Bokut’, L. A. 3 2000 Gröbner-Shirshov bases for Lie superalgebras and their universal enveloping algebras. Zbl 0931.17008 Bokut, Leonid A.; Kang, Seok-Jin; Lee, Kyu-Hwan; Malcolmson, Peter 21 1999 Gröbner-Shirshov bases for relations of a Lie algebra and its enveloping algebra. Zbl 0952.17008 Bokut, L. A.; Malcolmson, P. 11 1999 Gröbner-Shirshov bases for the exceptional Lie algebras \(E_6,E_7,E_8\). Zbl 0952.17007 Bokut, L. A.; Klein, A. A. 9 1999 Gröbner-Shirshov bases for exceptional Lie algebras. I. Zbl 0923.17014 Bokut’, L. A.; Klein, A. A. 12 1998 The Gröbner–Shirshov bases method. Zbl 0902.17001 Bokut’, L. A. 1 1997 Gröbner-Shirshov bases for quantum enveloping algebras. Zbl 0910.17004 Bokut, L.; Malcolmson, P. 24 1996 Serre relations and Gröbner-Shirshov bases for simple Lie algebras. I. Zbl 0866.17007 Bokut, L. A.; Klein, A. A. 21 1996 Serre relations and Gröbner-Shirshov bases for simple Lie algebras. II. Zbl 0866.17008 Bokut, L. A.; Klein, A. A. 4 1996 Abstract semigroups and groups of formal series of dependent variables. Zbl 0874.20041 Bokut’, L. A. 2 1996 Some results by A. I. Shirshov and his school. Zbl 0841.16002 Bokut’, L. A.; Shestakov, I. P. 2 1995 Algorithmic and combinatorial algebra. Zbl 0826.17002 Bokut’, L. A.; Kukin, G. P. 71 1994 To guard the future of Soviet mathematics. Zbl 0757.01034 Vershik, A. M.; Viro, O. Ya.; Bokut’, L. A. 1 1992 A basis of a free metabelian associative algebra. Zbl 0774.16009 Bokut’, L. A.; Makar-Limanov, L. G. 7 1991 Noncommutative rings. Zbl 0725.16003 Bokut’, L. A.; L’vov, I. V.; Kharchenko, V. K. 2 1991 Unsolvable algorithmic problems for semigroups, groups and rings. Zbl 0666.20017 Bokut’, L. A.; Kukin, G. P. 3 1989 A certain fragment of a group, constructed by P. S. Novikov in 1952. Zbl 0749.20013 Bokut’, L. A. 1 1989 Non-commutative rings. Zbl 0687.16001 Bokut’, L. A.; L’vov, I. V.; Kharchenko, V. K. 5 1988 Embedding of rings. Zbl 0632.16001 Bokut’, L. A. 5 1987 Unsolvable algorithmic problems for semigroups, groups and rings. Zbl 0632.20024 Bokut’, L. A.; Kukin, G. P. 2 1987 Embedding of rings. Zbl 0644.16001 Bokut’, L. A. 1 1987 On the Novikov and Boone-Borisov groups. Zbl 0591.20034 Bokut’, L. A. 1 1986 Novikov’s centrally symmetric group. Zbl 0601.20038 Bokut’, L. A. 5 1985 Some questions of combinatorial algebra. Zbl 0542.16013 Bokut’, L. A. 2 1983 Algorithmic problems and imbedding theorems: Some open questions for rings, groups, and semigroups. Zbl 0513.17001 Bokut’, L. A. 3 1982 In memory of Anatolij Illarionovich Shirshov. Zbl 0468.01012 Bokut’, L. A.; Ershov, Yu. L.; Kolmogorov, A. N.; Kostrikin, A. I.; Kuz’min, E. N.; Latyshev, V. N.; Sobolev, S. L.; Shestakov, I. P. 2 1981 Associative rings. Part 2. Categories of modules. Imbedding in skew fields. (Ассоциативные кольца. Часть2. Категории модулей. Вложения в тела.) Zbl 0598.16001 Bokut’, L. A. 1 1981 New results in the theory of associative and Lie rings. Zbl 0488.17001 Bokut’, L. A. 1 1981 Decision problems for ring theory. Zbl 0439.17001 Bokut’, L. A. 1 1980 Malcev’s problem and groups with a normal form. Zbl 0444.20029 Bokut’, L. A. 1 1980 On algebraically closed and simple Lie algebras. Zbl 0443.17007 Bokut’, L. A. 3 1978 Embeddings into simple associative algebras. Zbl 0355.16012 Bokut’, L. A. 46 1977 Associative rings. Part I. Ring constructions. Textbook. (Ассоциативные кольца. ЧастьИ. Кольцевые конструкции. Учебное пособие.) Zbl 0459.16001 Bokut’, L. A. 8 1977 Certain questions of ring theory. Zbl 0439.17002 Bokut’, L. A. 1 1977 Einbettungen in einfache assoziative Algebren. Zbl 0349.16007 Bokut’, L. A. 22 1976 Unsolvability of the equality problem and subalgebras of finitely presented Lie algebras. Zbl 0275.02041 Bokut’, L. A. 9 1974 Rings. 3. Bibliography. (Кольца. III. Библиография.) Zbl 0267.17003 39 1973 Die Unlösbarkeit eines Identitätsproblems und Unteralgebren endlich definiter Liealgebren. Zbl 0252.02046 Bokut’, L. A. 7 1972 Unsolvability of the word problem for Lie algebras. Zbl 0267.02032 Bokut’, L. A. 1 1972 Ring theory. Zbl 0238.16002 Bokut’, L. A.; Zhevlakov, K. A.; Kuz’min, E. N. 1 1972 Konstantin Aleksandrovich Zhevlakov. Zbl 0239.01046 Shirshov, A. I.; Kargapolov, M. I.; Bokut’, L. A.; Kuz’min, E. N.; Slin’ko, A. M.; Shestakov, I. P. 1 1972 On nilpotent Lie algebras. Zbl 0243.17010 Bokut’, L. A. 1 1972 On nilpotent Lie algebras. Zbl 0225.17001 Bokut’, L. A. 2 1971 To the 50th birthday of the corresponding member of the Academy of Sciences of the USSR A. I. Shirshov. Zbl 0222.01023 Bokut’, L. A.; Ershov, Yu. L.; Zhevlakov, K. A.; Kargapolov, M. I.; Kuz’min, E. N.; Smirnov, D. M. 1 1971 Unsolvability of some algebraic problems in the class of associative rings. Zbl 0228.02029 Bokut’, L. A. 1 1971 Unentscheidbarkeit gewisser algorithmischer Probleme in der Klasse der assoziativen Ringe. Zbl 0216.01001 Bokut’, L. A. 2 1970 On a problem of Mal’tsev. Zbl 0213.31902 Bokut’, L. A. 7 1969 Quotient groups of the multiplicative semigroups of certain rings. I, II. Zbl 0213.31801 Bokut’, L. A. 5 1969 Quotient groups of the multiplicative semigroups of certain rings. III. Zbl 0213.31901 Bokut’, L. A. 2 1969 Degrees of unsolvability of the conjugacy problem for finitely presented groups. Zbl 0182.01803 Bokut’, L. A. 8 1968 Groups with relative standard basis. Zbl 0317.20023 Bokut’, L. A. 2 1968 ...and 10 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 453 Authors 41 Chen, Yuqun 39 Bokut, Leonid A. 21 Kolesnikov, Pavel Sergeevich 19 Gao, Xing 18 Obul, Abdukadir 16 Umirbaev, Ualbaĭ Utmakhanbetovich 15 Guo, Li 15 Zhuchok, Anatolii V. 11 Karpuz, Eylem Güzel 11 Lee, Dong-Il 11 Mikhalëv, Aleksandr Aleksandrovich 10 Zhang, Zerui 9 Çevik, Ahmet Sinan 9 Li, Yu 9 Mo, Qiuhui 6 Ateş, Firat 6 Kanel’-Belov, Alekseĭ Yakovlevich 6 Lee, Kyu-Hwan 6 Luo, Yan Feng 6 Poroshenko, Evgeniĭ Nikolaevich 6 Qiu, Jianjun 6 Zhang, Yi 5 AlHussein, Hassan 5 Bremner, Murray R. 5 Gubarev, Vsevolod Yur’evich 5 Kozlov, Roman A. 5 Kukin, G. P. 5 La Scala, Roberto 5 Mikhalëv, Aleksandr Vasil’evich 5 Sartayev, Bauyrzhan K. 5 Yu, Jie-Tai 5 Yunus, Gulshadam 5 Zhao, Xiangui 4 Bahturin, Yuri 4 Chen, Yongshan 4 Kang, Seok-Jin 4 Kępczyk, Marek 4 Khoroshkin, Anton 4 Kim, Sungsoon 4 Lopatkin, Viktor 4 Madariaga, Sara 4 Panasenko, Aleksandr Sergeevich 4 Piontkovski, Dmitri 4 Regensburger, Georg 4 Rényi, Alfréd 4 Tuniyaz, Rabigul 4 Yilmaz, Erol 4 Zhang, Yuanyuan 3 Bai, Chengming 3 Bai, Yuxiu 3 Chen, Dan 3 Dotsenko, Vladimir Viktorovich 3 Fong, Yuen 3 Hossein Poor, Jamal 3 Ivanov-Pogodaev, Ilya 3 Kharchenko, Vladislav K. 3 Koryukin, A. N. 3 Malbos, Philippe 3 Malev, Sergey 3 Ol’shanskiĭ, Aleksandr Yur’evich 3 Raab, Clemens G. 3 Reutenauer, Christophe 3 Shum, Kar-Ping 3 Ustaoğlu, Uğur 3 Volkov, Mikhail Vladimirovich 3 Zargeh, Chia 3 Zhang, Huhu 3 Zhelyabin, Viktor Nikolaevich 3 Zheng, Shanghua 3 Zhong, Chanyan 3 Zhuchok, Yurii V. 2 Abram, Antoine 2 Alsulami, Hamed Hamdan 2 Artamonov, Vyacheslav Aleksandrovich 2 Auzinger, Winfried 2 Beidar, Konstantin Igorevich 2 Bell, Jason P. 2 Berceanu, Barbu Rudolf 2 Chaynikov, V. V. 2 Chen, Yuzhu 2 Collins, Donald J. 2 Drensky, Vesselin 2 Ekici, Naime 2 Elgendy, Hader A. 2 Gao, Zhenzhen 2 Gerritzen, Lothar 2 Gupta, Chander Kanta 2 Herfort, Wolfgang N. 2 Hong, Yanyong 2 Hou, Bo 2 Hu, Xun 2 Iqbal, Zaffar 2 Ismailov, Nurlan A. 2 Kaygorodov, Ivan 2 Ke, Wen-Fong 2 Kelarev, Andrei Vladimirovich 2 Kitov, Nikita V. 2 Klimakov, A. V. 2 Kocapınar, Canan 2 Koch, Othmar ...and 353 more Authors all top 5 Cited in 116 Serials 66 Journal of Algebra 45 Communications in Algebra 27 Journal of Algebra and its Applications 26 Algebra and Logic 18 International Journal of Algebra and Computation 15 Acta Mathematica Academiae Scientiarum Hungaricae 15 Journal of Mathematical Sciences (New York) 14 Siberian Mathematical Journal 14 Journal of Symbolic Computation 11 Algebra Colloquium 10 Transformation Groups 10 Asian-European Journal of Mathematics 9 Analysis Mathematica 9 Journal of Pure and Applied Algebra 9 Semigroup Forum 8 Algebras and Representation Theory 6 Linear and Multilinear Algebra 5 Linear Algebra and its Applications 5 Sibirskie Èlektronnye Matematicheskie Izvestiya 4 Israel Journal of Mathematics 4 Proceedings of the American Mathematical Society 4 St. Petersburg Mathematical Journal 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Discrete Mathematics 3 Journal of Soviet Mathematics 3 Pacific Journal of Mathematics 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Results in Mathematics 3 Chinese Annals of Mathematics. Series B 3 Journal of Algebraic Combinatorics 3 Acta Mathematica Sinica. English Series 3 Frontiers of Mathematics in China 3 Open Mathematics 2 Journal of Mathematical Physics 2 Mathematical Notes 2 Acta Mathematica 2 Advances in Mathematics 2 Algebra Universalis 2 Czechoslovak Mathematical Journal 2 Glasgow Mathematical Journal 2 Journal of Combinatorial Theory. Series A 2 Mathematische Zeitschrift 2 Transactions of the American Mathematical Society 2 Topology and its Applications 2 Science in China. Series A 2 Indagationes Mathematicae. New Series 2 JP Journal of Algebra, Number Theory and Applications 2 Mediterranean Journal of Mathematics 2 Acta Physica Academiae Scientiarum Hungaricae 2 Chebyshevskiĭ Sbornik 2 Mathematics in Computer Science 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Bulletin of Mathematical Sciences 2 European Journal of Mathematics 2 AIMS Mathematics 1 Archive for History of Exact Sciences 1 Communications in Mathematical Physics 1 Indian Journal of Pure & Applied Mathematics 1 Letters in Mathematical Physics 1 Moscow University Mathematics Bulletin 1 Rocky Mountain Journal of Mathematics 1 The Mathematical Intelligencer 1 Beiträge zur Algebra und Geometrie 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 BIT 1 Demonstratio Mathematica 1 Duke Mathematical Journal 1 Functional Analysis and its Applications 1 Inventiones Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Journal of Number Theory 1 The Journal of Symbolic Logic 1 Mathematische Nachrichten 1 Quaestiones Mathematicae 1 Theoretical Computer Science 1 Acta Mathematica Hungarica 1 Advances in Mathematics (Beijing) 1 Bulletin of the Iranian Mathematical Society 1 Acta Mathematicae Applicatae Sinica. English Series 1 Celestial Mechanics 1 Journal of Knot Theory and its Ramifications 1 Experimental Mathematics 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Mathematical Logic Quarterly (MLQ) 1 Turkish Journal of Mathematics 1 Filomat 1 Journal of Lie Theory 1 Selecta Mathematica. New Series 1 Buletinul Academiei de Științe a Republicii Moldova. Matematica 1 Izvestiya: Mathematics 1 Matematychni Studiï 1 Lobachevskii Journal of Mathematics 1 Moscow Mathematical Journal 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Central European Journal of Mathematics 1 Missouri Journal of Mathematical Sciences 1 Hacettepe Journal of Mathematics and Statistics 1 Fixed Point Theory and Applications 1 Journal of Noncommutative Geometry 1 Journal of Topology ...and 16 more Serials all top 5 Cited in 43 Fields 247 Associative rings and algebras (16-XX) 236 Nonassociative rings and algebras (17-XX) 137 Group theory and generalizations (20-XX) 94 Commutative algebra (13-XX) 38 Computer science (68-XX) 37 General algebraic systems (08-XX) 30 Combinatorics (05-XX) 24 Category theory; homological algebra (18-XX) 15 Mathematical logic and foundations (03-XX) 11 Field theory and polynomials (12-XX) 11 Algebraic geometry (14-XX) 10 Manifolds and cell complexes (57-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Operator theory (47-XX) 7 History and biography (01-XX) 7 Topological groups, Lie groups (22-XX) 6 Number theory (11-XX) 6 Algebraic topology (55-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Functional analysis (46-XX) 5 Differential geometry (53-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Approximations and expansions (41-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Numerical analysis (65-XX) 3 Quantum theory (81-XX) 2 Functions of a complex variable (30-XX) 2 Partial differential equations (35-XX) 2 Geometry (51-XX) 2 Convex and discrete geometry (52-XX) 2 Probability theory and stochastic processes (60-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 \(K\)-theory (19-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year