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Bokut, Leonid A.

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Author ID: bokut.leonid-a Recent zbMATH articles by "Bokut, Leonid A."
Published as: Bokut’, L. A.; Bokut, L. A.; Bokut, Leonid A.; Bokut, Leonid; Bokut, L.
External Links: Math-Net.Ru
Documents Indexed: 158 Publications since 1962, including 19 Books
Reviewing Activity: 149 Reviews
Biographic References: 3 Publications
all top 5

Co-Authors

65 single-authored
26 Chen, Yuqun
11 Kuz’min, E. N.
9 Shestakov, Ivan Pavlovich
8 Ershov, Yuriĭ Leonidovich
7 Fong, Yuen
6 Kostrikin, Alekseĭ Ivanovich
6 Kutateladze, Semën Samsonovich
6 Li, Yu
6 Reshetnyak, Yuriĭ Grigor’evich
5 Ke, Wen-Fong
5 Kolesnikov, Pavel Sergeevich
5 Shirshov, Anatoliĭ Illarionovich
5 Shum, Kar-Ping
4 Kargapolov, Mikhail Ivanovich
4 Kharchenko, Vladislav K.
4 Mo, Qiuhui
4 Taimanov, Iskander Asanovich
4 Zhang, Zerui
4 Zhevlakov, K. A.
3 Kukin, G. P.
3 Latyshev, Viktor Nikolaevich
3 Malcolmson, Peter
3 Shiao, Long-Sheng
3 Vesnin, Andrei Yu.
2 Bardakov, Valeriĭ Georgievich
2 Belegradek, Oleg V.
2 Chaynikov, V. V.
2 Chen, Yongshan
2 Kac, Victor G.
2 Kolmogorov, Andreĭ Nikolaevich
2 Lavrent’ev, Mikhail Mikhaĭlovich
2 L’vov, I. V.
2 Makar-Limanov, Leonid G.
2 Novikov, Sergeĭ Petrovich
2 Obul, Abdukadir
2 Parshin, Alexei N.
2 Platonov, Vladimir Petrovich
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 Zel’manov, Efim Isaakovich
1 Aleksandrov, Aleksandr Danilovich
1 Aleksandrov, Igor’ Aleksandrovich
1 Arkhangel’skiĭ, Dmitriĭ A.
1 Baizhanov, Bektur Sembiuly
1 Beidar, Konstantin Igorevich
1 Belyaev, V. Ya.
1 Chainikov, V. V.
1 Chen, Weiping
1 Chibrikov, E. S.
1 Daderkin, Dmitri O.
1 Dekhtyar, Alexander M.
1 Dikovsky, Alexander Yakovlevich
1 Dudakov, Sergey M.
1 Gitik, Moti
1 Golod, Evgeniĭ Solomonovich
1 Grigorchuk, Rostislav Ivanovich
1 Gurevich, Yuri
1 Hazewinkel, Michiel
1 Huang, Jiapeng
1 Kalorkoti, Kyriakos
1 Kanel’-Belov, Alekseĭ Yakovlevich
1 Kang, Seok-Jin
1 Kemer, Aleksandr Robertovich
1 Kharlampovich, Olga G.
1 Krushkal, Samuel L.
1 Kyrychenko, Volodymyr Vasyl’ovych
1 Lee, Danny V.
1 Lee, Kyu-Hwan
1 Li, Jing
1 Liu, Cihua
1 Lõhmus, Jaak
1 Lopatkin, Viktor
1 Mal’tsev, Yuriĭ Nikolaevich
1 Manin, Yuri Ivanovich
1 Margulis, Grigoriĭ Aleksandrovich
1 Matiyasevich, Yuriĭ Vladimirovich
1 Migirenko, G. S.
1 Mikhalëv, Aleksandr Vasil’evich
1 Mints, Grigoriĭ Efroimovich
1 Musikaev, Ilmir Kh.
1 Myasnikov, Alexei G.
1 Ol’shanskiĭ, Aleksandr Yur’evich
1 Qiu, Jianjun
1 Rebrov, A. K.
1 Romanovskii, N. S.
1 Rowen, Louis Halle
1 Semenov, Alexei Lvovich
1 Shevrin, Lev Naumovich
1 Stolboushkin, Alexei P.
1 Trakhtenbrot, Boris Avraamovich
1 Tuniyaz, Rabigul
1 Umirbaev, Ualbaĭ Utmakhanbetovich
1 Valiev, Mars K.
1 Vershinin, Vladimir V.
1 Xiryazidin, Marhaba
1 Yakovlev, Anatoliĭ Vladimirovich
...and 5 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
4 Russian Mathematical Surveys
4 Soviet Mathematics. Doklady
4 Contemporary Mathematics
3 Southeast Asian Bulletin of Mathematics
3 Journal of Mathematical Sciences (New York)
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 Ştiinţe 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

Publications by Year

Citations contained in zbMATH Open

103 Publications have been cited 906 times in 386 Documents Cited by Year
Algorithmic and combinatorial algebra. Zbl 0826.17002
Bokut’, L. A.; Kukin, G. P.
64
1994
Gröbner-Shirshov bases and their calculation. Zbl 1350.13001
Bokut, L. A.; Chen, Yuqun
46
2014
Rings. 3. Bibliography. (Кольца. III. Библиография.) Zbl 0267.17003
Bokut’, L. A. (ed.); Kuz’min, E. N. (ed.); Shirshov, A. I. (ed.)
42
1973
Gröbner-Shirshov bases for associative algebras with multiple operators and free Rota-Baxter algebras. Zbl 1213.16014
Bokut, L. A.; Chen, Yuqun; Qiu, Jianjun
39
2010
Embeddings into simple associative algebras. Zbl 0355.16012
Bokut’, L. A.
38
1977
Gröbner-Shirshov bases for dialgebras. Zbl 1245.17001
Bokut, L. A.; Chen, Yuqun; Liu, Cihua
34
2010
Gröbner-Shirshov bases: from their inception to the present time. Zbl 1069.16026
Bokut’, L. A.; Kolesnikov, P. S.
29
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 for quantum enveloping algebras. Zbl 0910.17004
Bokut, L.; Malcolmson, P.
23
1996
Composition-diamond lemma for associative conformal algebras. Zbl 1108.17006
Bokut, L. A.; Fong, Y.; Ke, W.-F.
23
2004
Gröbner-Shirshov bases for Rota-Baxter algebras. Zbl 1235.16021
Bokut, L. A.; Chen, Yu.; Deng, X.
21
2010
Serre relations and Gröbner-Shirshov bases for simple Lie algebras. I. Zbl 0866.17007
Bokut, L. A.; Klein, A. A.
19
1996
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
19
1999
A base of free polynilpotent Lie algebras. Zbl 0161.03604
Bokut’, L. A.
18
1963
Gröbner-Shirshov bases for Coxeter groups. Zbl 1065.17006
Bokut’, L. A.; Shiao, L.-S.
18
2001
Gröbner-Shirshov bases: some new results. Zbl 1207.16023
Bokut’, L. A.; Chen, Yuqun
18
2008
Gröbner-Shirshov basis for the braid group in the Artin-Garside generators. Zbl 1176.20035
Bokut, L. A.
16
2008
Gröbner-Shirshov bases for Lie algebras: after A. I. Shirshov. Zbl 1150.17008
Bokut, L. A.; Chen, Yuqun
16
2007
Gröbner-Shirshov basis for the braid group in the Birman-Ko-Lee generators. Zbl 1176.20036
Bokut, L. A.
16
2009
Gröbner-Shirshov bases and embeddings of algebras. Zbl 1236.16022
Bokut, L. A.; Chen, Yuqun; Mo, Qiuhui
15
2010
Gröbner-Shirshov bases, conformal algebras, and pseudo-algebras. Zbl 1150.16020
Bokut’, L. A.; Kolesnikov, P. S.
14
2005
Gröbner-Shirshov bases for semirings. Zbl 1286.16038
Bokut, L. A.; Chen, Yuqun; Mo, Qiuhui
14
2013
Some new results on Gröbner-Shirshov bases. Zbl 1264.16025
Bokut, L. A.; Chen, Yuqun; Shum, K. P.
13
2012
Composition-diamond lemma for tensor product of free algebras. Zbl 1198.16022
Bokut, L. A.; Chen, Yuqun; Chen, Yongshan
13
2010
Gröbner-Shirshov bases for exceptional Lie algebras. I. Zbl 0923.17014
Bokut’, L. A.; Klein, A. A.
12
1998
Gröbner-Shirshov bases and composition lemma for associative conformal algebras: an example. Zbl 1063.16031
Bokut’, L. A.; Fong, Y.; Ke, W.-F.
12
2000
Gröbner-Shirshov bases for relations of a Lie algebra and its enveloping algebra. Zbl 0952.17008
Bokut, L. A.; Malcolmson, P.
10
1999
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 free inverse semigroups. Zbl 1173.20039
Bokut, L. A.; Chen, Yuqun; Zhao, Xiangui
10
2009
Unsolvability of the equality problem and subalgebras of finitely presented Lie algebras. Zbl 0275.02041
Bokut’, L. A.
9
1974
Markov and Artin normal form theorem for braid groups. Zbl 1169.20019
Bokut, L. A.; Chaynikov, V. V.; Shum, K. P.
9
2007
Gröbner-Shirshov bases for some braid groups. Zbl 1126.20023
Bokut, Leonid; Vesnin, Andrei
9
2006
Gröbner-Shirshov basis of the Adyan extension of the Novikov group. Zbl 1158.20015
Bokut, L. A.; Chainikov, V. V.
9
2008
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 the exceptional Lie algebras \(E_6,E_7,E_8\). Zbl 0952.17007
Bokut, L. A.; Klein, A. A.
8
1999
Associative rings. Part I. Ring constructions. Textbook. (Ассоциативные кольца. Часть И. Кольцевые конструкции. Учебное пособие.) Zbl 0459.16001
Bokut’, L. A.
8
1977
Gröbner-Shirshov bases for categories. Zbl 1300.16023
Bokut, L. A.; Chen, Yuqun; Li, Yu
8
2012
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 for Vinberg-Koszul-Gerstenhaber right-symmetric algebras. Zbl 1288.17001
Bokut’, L. A.; Chen, Yuqun; Li, Yu
7
2010
Degrees of unsolvability of the conjugacy problem for finitely presented groups. Zbl 0182.01803
Bokut’, L. A.
7
1968
On a problem of Mal’tsev. Zbl 0213.31902
Bokut’, L. A.
7
1969
Free associative conformal algebras. Zbl 1056.16020
Bokut, L. A.; Fong, Y.; Ke, W.-F.
6
2000
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
A basis of a free metabelian associative algebra. Zbl 0774.16009
Bokut’, L. A.; Makar-Limanov, L. G.
6
1991
Gröbner-Shirshov bases method for Gelfand-Dorfman-Novikov algebras. Zbl 1405.17060
Bokut, L. A.; Chen, Yuqun; Zhang, Zerui
6
2017
Einige Einbettungssätze für Ringe und Halbgruppen. I, II. Zbl 0136.02204
Bokut’, L. A.
5
1963
Imbedding of algebras into algebraically closed algebras. Zbl 0173.02903
Bokut’, L. A.
5
1962
Einbettungen in einfache assoziative Algebren. Zbl 0349.16007
Bokut’, L. A.
5
1976
Anti-commutative Gröbner-Shirshov basis of a free Lie algebra. Zbl 1190.16034
Bokut, L. A.; Chen, YuQun; Li, Yu
5
2009
Embedding of rings. Zbl 0632.16001
Bokut’, L. A.
5
1987
Serre relations and Gröbner-Shirshov bases for simple Lie algebras. II. Zbl 0866.17008
Bokut, L. A.; Klein, A. A.
4
1996
Quotient groups of the multiplicative semigroups of certain rings. I, II. Zbl 0213.31801
Bokut’, L. A.
4
1969
New approaches to plactic monoid via Gröbner-Shirshov bases. Zbl 1309.16014
Bokut, L. A.; Chen, Yuqun; Chen, Weiping; Li, Jing
4
2015
On free Gelfand-Dorfman-Novikov-Poisson algebras and a PBW theorem. Zbl 1456.17001
Bokut, L. A.; Chen, Yuqun; Zhang, Zerui
4
2018
Novikov’s centrally symmetric group. Zbl 0601.20038
Bokut’, L. A.
4
1985
Lyndon-Shirshov words, Gröbner-Shirshov bases, and free Lie algebras. Zbl 1330.17001
Bokut, L.; Chibrikov, E. S.
4
2006
Prime rings with semigroup generalized identity. Zbl 0949.16022
Beidar, K. I.; Fong, Y.; Bokut’, L. A.
3
2000
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
Non-commutative rings. Zbl 0687.16001
Bokut’, L. A.; L’vov, I. V.; Kharchenko, V. K.
3
1988
Gröbner-Shirshov basis for the Temperley-Lieb-Kauffman monoid. Zbl 1191.16024
Bokut’, L. A.; Lee, D. V.
3
2005
The Jacobian conjecture, together with Specht and Burnside-type problems. Zbl 1327.14256
Belov, Alexei; Bokut, Leonid; Rowen, Louis; Yu, Jie-Tai
3
2014
Abstract semigroups and groups of formal series of dependent variables. Zbl 0874.20041
Bokut’, L. A.
2
1996
On algebraically closed and simple Lie algebras. Zbl 0443.17007
Bokut’, L. A.
2
1978
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
Gröbner-Shirshov bases for algebras, groups, and semigroups. Zbl 1045.16011
Bokut, L.; Fong, Y.; Shiao, L.-S.
2
2003
Einbettung Liescher Algebren in algebraisch abgeschlossene Liesche Algebren. Zbl 0156.03902
Bokut’, L. A.
2
1962
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
Die Unlösbarkeit eines Identitätsproblems und Unteralgebren endlich definiter Liealgebren. Zbl 0252.02046
Bokut’, L. A.
2
1972
Twisted conjugacy in free groups and Makanin’s question. Zbl 1086.20020
Bardakov, Valerij; Bokut, Leonid; Vesnin, Andrei
2
2005
Gröbner and Gröbner-Shirshov bases in algebra: an elementary approach. Zbl 1133.16037
Bokut, L. A.; Shum, K. P.
2
2005
Groups with relative standard basis. Zbl 0317.20023
Bokut’, L. A.
2
1968
Some questions of combinatorial algebra. Zbl 0542.16013
Bokut’, L. A.
2
1983
Unsolvable algorithmic problems for semigroups, groups and rings. Zbl 0666.20017
Bokut’, L. A.; Kukin, G. P.
2
1989
Some results by A. I. Shirshov and his school. Zbl 0841.16002
Bokut’, L. A.; Shestakov, I. P.
2
1995
Free Gelfand-Dorfman-Novikov superalgebras and a Poincaré-Birkhoff-Witt type theorem. Zbl 1444.17001
Zhang, Zerui; Chen, Yuqun; Bokut, Leonid A.
2
2019
The Gröbner–Shirshov bases method. Zbl 0902.17001
Bokut’, L. A.
1
1997
Noncommutative rings. Zbl 0725.16003
Bokut’, L. A.; L’vov, I. V.; Kharchenko, V. K.
1
1991
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
New results in the theory of associative and Lie rings. Zbl 0488.17001
Bokut’, L. A.
1
1981
Über Novikovsche Gruppen. Zbl 0165.31804
Bokut’, L. A.
1
1967
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
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
Ring theory. Zbl 0238.16002
Bokut’, L. A.; Zhevlakov, K. A.; Kuz’min, E. N.
1
1972
On nilpotent Lie algebras. Zbl 0243.17010
Bokut’, L. A.
1
1972
Unsolvability of the word problem for Lie algebras. Zbl 0267.02032
Bokut’, L. A.
1
1972
Markov and Artin normal form theorem for braid groups. Zbl 1167.20326
Bokut, L. A.; Chaynikov, V. V.; Shum, K. P.
1
2007
A certain fragment of a group, constructed by P. S. Novikov in 1952. Zbl 0749.20013
Bokut’, L. A.
1
1989
On the Novikov and Boone-Borisov groups. Zbl 0591.20034
Bokut’, L. A.
1
1986
Unsolvable algorithmic problems for semigroups, groups and rings. Zbl 0632.20024
Bokut’, L. A.; Kukin, G. P.
1
1987
To guard the future of Soviet mathematics. Zbl 0757.01034
Vershik, A. M.; Viro, O. Ya.; Bokut’, L. A.
1
1992
Associative rings. Part 2. Categories of modules. Imbedding in skew fields. (Ассоциативные кольца. Часть 2. Категории модулей. Вложения в тела.) Zbl 0598.16001
Bokut’, L. A.
1
1981
Gröbner-Shirshov bases. Normal forms, combinatorial and decision problems in algebra. Zbl 1448.13001
Bokut, Leonid; Chen, Yuqun; Kalorkoti, Kyriakos; Kolesnikov, Pavel; Lopatkin, Viktor
1
2020
Free Gelfand-Dorfman-Novikov superalgebras and a Poincaré-Birkhoff-Witt type theorem. Zbl 1444.17001
Zhang, Zerui; Chen, Yuqun; Bokut, Leonid A.
2
2019
On free Gelfand-Dorfman-Novikov-Poisson algebras and a PBW theorem. Zbl 1456.17001
Bokut, L. A.; Chen, Yuqun; Zhang, Zerui
4
2018
Some new results on Gröbner-Shirshov bases for Lie algebras and around. Zbl 1404.16022
Bokut, L. A.; Chen, Yuqun; Obul, Abdukadir
1
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
1
2018
Gröbner-Shirshov bases method for Gelfand-Dorfman-Novikov algebras. Zbl 1405.17060
Bokut, L. A.; Chen, Yuqun; Zhang, Zerui
6
2017
New approaches to plactic monoid via Gröbner-Shirshov bases. Zbl 1309.16014
Bokut, L. A.; Chen, Yuqun; Chen, Weiping; Li, Jing
4
2015
Gröbner-Shirshov bases and their calculation. Zbl 1350.13001
Bokut, L. A.; Chen, Yuqun
46
2014
The Jacobian conjecture, together with Specht and Burnside-type problems. Zbl 1327.14256
Belov, Alexei; Bokut, Leonid; Rowen, Louis; Yu, Jie-Tai
3
2014
Gröbner-Shirshov bases for semirings. Zbl 1286.16038
Bokut, L. A.; Chen, Yuqun; Mo, Qiuhui
14
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
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
8
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
39
2010
Gröbner-Shirshov bases for dialgebras. Zbl 1245.17001
Bokut, L. A.; Chen, Yuqun; Liu, Cihua
34
2010
Gröbner-Shirshov bases for Rota-Baxter algebras. Zbl 1235.16021
Bokut, L. A.; Chen, Yu.; Deng, X.
21
2010
Gröbner-Shirshov bases and embeddings of algebras. Zbl 1236.16022
Bokut, L. A.; Chen, Yuqun; Mo, Qiuhui
15
2010
Composition-diamond lemma for tensor product of free algebras. Zbl 1198.16022
Bokut, L. A.; Chen, Yuqun; Chen, Yongshan
13
2010
Gröbner-Shirshov bases for Vinberg-Koszul-Gerstenhaber right-symmetric algebras. Zbl 1288.17001
Bokut’, L. A.; Chen, Yuqun; Li, Yu
7
2010
Gröbner-Shirshov basis for the braid group in the Birman-Ko-Lee generators. Zbl 1176.20036
Bokut, L. A.
16
2009
Gröbner-Shirshov bases for free inverse semigroups. Zbl 1173.20039
Bokut, L. A.; Chen, Yuqun; Zhao, Xiangui
10
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
18
2008
Gröbner-Shirshov basis for the braid group in the Artin-Garside generators. Zbl 1176.20035
Bokut, L. A.
16
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
16
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
9
2006
Lyndon-Shirshov words, Gröbner-Shirshov bases, and free Lie algebras. Zbl 1330.17001
Bokut, L.; Chibrikov, E. S.
4
2006
Gröbner-Shirshov bases, conformal algebras, and pseudo-algebras. Zbl 1150.16020
Bokut’, L. A.; Kolesnikov, P. S.
14
2005
Gröbner-Shirshov basis for the Temperley-Lieb-Kauffman monoid. Zbl 1191.16024
Bokut’, L. A.; Lee, D. V.
3
2005
Twisted conjugacy in free groups and Makanin’s question. Zbl 1086.20020
Bardakov, Valerij; Bokut, Leonid; Vesnin, Andrei
2
2005
Gröbner and Gröbner-Shirshov bases in algebra: an elementary approach. Zbl 1133.16037
Bokut, L. A.; Shum, K. P.
2
2005
Composition-diamond lemma for associative conformal algebras. Zbl 1108.17006
Bokut, L. A.; Fong, Y.; Ke, W.-F.
23
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.
18
2001
Gröbner-Shirshov bases: from their inception to the present time. Zbl 1069.16026
Bokut’, L. A.; Kolesnikov, P. S.
29
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.
12
2000
Free associative conformal algebras. Zbl 1056.16020
Bokut, L. A.; Fong, Y.; Ke, W.-F.
6
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
19
1999
Gröbner-Shirshov bases for relations of a Lie algebra and its enveloping algebra. Zbl 0952.17008
Bokut, L. A.; Malcolmson, P.
10
1999
Gröbner-Shirshov bases for the exceptional Lie algebras \(E_6,E_7,E_8\). Zbl 0952.17007
Bokut, L. A.; Klein, A. A.
8
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.
23
1996
Serre relations and Gröbner-Shirshov bases for simple Lie algebras. I. Zbl 0866.17007
Bokut, L. A.; Klein, A. A.
19
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.
64
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.
6
1991
Noncommutative rings. Zbl 0725.16003
Bokut’, L. A.; L’vov, I. V.; Kharchenko, V. K.
1
1991
Unsolvable algorithmic problems for semigroups, groups and rings. Zbl 0666.20017
Bokut’, L. A.; Kukin, G. P.
2
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.
3
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.
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.
4
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
New results in the theory of associative and Lie rings. Zbl 0488.17001
Bokut’, L. A.
1
1981
Associative rings. Part 2. Categories of modules. Imbedding in skew fields. (Ассоциативные кольца. Часть 2. Категории модулей. Вложения в тела.) Zbl 0598.16001
Bokut’, L. A.
1
1981
Decision problems for ring theory. Zbl 0439.17001
Bokut’, L. A.
1
1980
On algebraically closed and simple Lie algebras. Zbl 0443.17007
Bokut’, L. A.
2
1978
Embeddings into simple associative algebras. Zbl 0355.16012
Bokut’, L. A.
38
1977
Associative rings. Part I. Ring constructions. Textbook. (Ассоциативные кольца. Часть И. 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.
5
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
Bokut’, L. A.; Kuz’min, E. N.; Shirshov, A. I.
42
1973
Die Unlösbarkeit eines Identitätsproblems und Unteralgebren endlich definiter Liealgebren. Zbl 0252.02046
Bokut’, L. A.
2
1972
Ring theory. Zbl 0238.16002
Bokut’, L. A.; Zhevlakov, K. A.; Kuz’min, E. N.
1
1972
On nilpotent Lie algebras. Zbl 0243.17010
Bokut’, L. A.
1
1972
Unsolvability of the word problem for Lie algebras. Zbl 0267.02032
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.
4
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.
7
1968
Groups with relative standard basis. Zbl 0317.20023
Bokut’, L. A.
2
1968
On a property of Boone groups. II. Zbl 0189.01201
Bokut’, L. A.
6
1967
Embedding of rings into skew fields. Zbl 0159.04401
Bokut’, L. A.
3
1967
Über Novikovsche Gruppen. Zbl 0165.31804
Bokut’, L. A.
1
1967
Über eine Eigenschaft der Booneschen Gruppen. I. Zbl 0189.01103
Bokut’, L. A.
3
1966
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
A base of free polynilpotent Lie algebras. Zbl 0161.03604
Bokut’, L. A.
18
1963
...and 3 more Documents
all top 5

Cited by 365 Authors

39 Bokut, Leonid A.
35 Chen, Yuqun
18 Obul, Abdukadir
12 Gao, Xing
12 Umirbaev, Ualbaĭ Utmakhanbetovich
12 Zhuchok, Anatolii V.
11 Kolesnikov, Pavel Sergeevich
11 Mikhalëv, Aleksandr Aleksandrovich
10 Karpuz, Eylem Güzel
9 Lee, Dong-Il
9 Li, Yu
9 Mo, Qiuhui
8 Guo, Li
6 Çevik, Ahmet Sinan
6 Luo, Yan Feng
6 Poroshenko, Evgeniĭ Nikolaevich
6 Qiu, Jianjun
5 Ateş, Firat
5 Kukin, G. P.
5 Lee, Kyu-Hwan
5 Mikhalëv, Aleksandr Vasil’evich
5 Rényi, Alfréd
5 Yu, Jie-Tai
5 Yunus, Gulshadam
5 Zhang, Yi
5 Zhang, Zerui
5 Zhao, Xiangui
4 Bahturin, Yuri
4 Bremner, Murray R.
4 Chen, Yongshan
4 Gubarev, Vsevolod Yur’evich
4 Kang, Seok-Jin
4 La Scala, Roberto
4 Lopatkin, Viktor
4 Madariaga, Sara
4 Regensburger, Georg
3 Dotsenko, Vladimir Viktorovich
3 Fong, Yuen
3 Hossein Poor, Jamal
3 Kanel’-Belov, Alekseĭ Yakovlevich
3 Kharchenko, Vladislav K.
3 Khoroshkin, Anton
3 Kim, Sungsoon
3 Koryukin, A. N.
3 Ol’shanskiĭ, Aleksandr Yur’evich
3 Raab, Clemens G.
3 Shum, Kar-Ping
3 Tuniyaz, Rabigul
3 Zheng, Shanghua
3 Zhong, Chanyan
2 Artamonov, Vyacheslav Aleksandrovich
2 Beidar, Konstantin Igorevich
2 Berceanu, Barbu Rudolf
2 Chaynikov, V. V.
2 Chen, Dan
2 Chen, Yuzhu
2 Collins, Donald J.
2 Drensky, Vesselin
2 Ekici, Naime
2 Gao, Zhenzhen
2 Gerritzen, Lothar
2 Gupta, Chander Kanta
2 Hu, Xun
2 Ke, Wen-Fong
2 Kelarev, Andrei Vladimirovich
2 Klimakov, A. V.
2 Kocapınar, Canan
2 Kozlov, R. A.
2 Ladra González, Manuel
2 Malbos, Philippe
2 Malcolmson, Peter
2 Malev, Sergey
2 Malheiro, António
2 Ogievetsky, Oleg V.
2 Özalan, Nurten Urlu
2 Park, Hyungju
2 Petrogradsky, Victor Mikhaylovich
2 Piontkovski, Dmitri
2 Qiang, Chengxiu
2 Révész, Pál
2 Roman’kov, Vitaly Anatol’evich
2 Rosenkranz, Markus
2 Rowen, Louis Halle
2 Schein, Boris M.
2 Shestakov, Ivan Pavlovich
2 Smoktunowicz, Agata
2 Stöhr, Ralph
2 Takács, Lajos
2 Timoshenko, Evgeniĭ Iosifovich
2 Volkov, Mikhail Vladimirovich
2 Weyman, Jerzy M.
2 Yearwood, John
2 Zargeh, Chia
2 Zhang, Guangliang
2 Zhang, Yang
2 Zhang, Yuanyuan
2 Zhuchok, Yuliia V.
2 Zhuchok, Yurii V.
1 Agalakov, S. A.
1 Akhobadze, T. I.
...and 265 more Authors
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Cited in 86 Serials

58 Journal of Algebra
35 Communications in Algebra
25 Algebra and Logic
20 Journal of Algebra and its Applications
16 Acta Mathematica Academiae Scientiarum Hungaricae
15 Journal of Mathematical Sciences (New York)
13 Siberian Mathematical Journal
12 Journal of Symbolic Computation
12 International Journal of Algebra and Computation
11 Algebra Colloquium
10 Transformation Groups
9 Analysis Mathematica
9 Journal of Pure and Applied Algebra
9 Asian-European Journal of Mathematics
8 Semigroup Forum
4 Proceedings of the American Mathematical Society
4 St. Petersburg Mathematical Journal
4 Algebras and Representation Theory
4 Sibirskie Èlektronnye Matematicheskie Izvestiya
3 Discrete Mathematics
3 Israel Journal of Mathematics
3 Journal of Soviet Mathematics
3 Rendiconti del Circolo Matemàtico di Palermo. Serie II
3 Chinese Annals of Mathematics. Series B
3 Journal of Algebraic Combinatorics
3 Frontiers of Mathematics in China
2 Linear and Multilinear Algebra
2 Mathematical Notes
2 Acta Mathematica
2 Advances in Mathematics
2 Algebra Universalis
2 Czechoslovak Mathematical Journal
2 Glasgow Mathematical Journal
2 Pacific Journal of Mathematics
2 Results in Mathematics
2 Acta Mathematica Hungarica
2 Science in China. Series A
2 Linear Algebra and its Applications
2 Indagationes Mathematicae. New Series
2 Acta Mathematica Sinica. English Series
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Acta Physica Academiae Scientiarum Hungaricae
2 Chebyshevskiĭ Sbornik
2 Mathematics in Computer Science
2 Bulletin of Mathematical Sciences
1 Archive for History of Exact Sciences
1 Communications in Mathematical Physics
1 Indian Journal of Pure & Applied Mathematics
1 Moscow University Mathematics Bulletin
1 Rocky Mountain Journal of Mathematics
1 The Mathematical Intelligencer
1 Beiträge zur Algebra und Geometrie
1 Demonstratio Mathematica
1 Duke Mathematical Journal
1 Inventiones Mathematicae
1 Journal of Combinatorial Theory. Series A
1 Journal of Number Theory
1 The Journal of Symbolic Logic
1 Mathematische Nachrichten
1 Quaestiones Mathematicae
1 Theoretical Computer Science
1 Transactions of the American Mathematical Society
1 Topology and its Applications
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 Bulletin of the Belgian Mathematical Society - Simon Stevin
1 Turkish Journal of Mathematics
1 Journal of Lie Theory
1 Selecta Mathematica. New Series
1 Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
1 Lobachevskii Journal of Mathematics
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Central European Journal of Mathematics
1 Fixed Point Theory and Applications
1 ACM Communications in Computer Algebra
1 Eurasian Mathematical Journal
1 Palestine Journal of Mathematics
1 Axioms
1 Journal of Mathematics
1 Algebra
1 European Journal of Mathematics
1 Open Mathematics
1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Journal of Siberian Federal University. Mathematics & Physics
all top 5

Cited in 40 Fields

191 Associative rings and algebras (16-XX)
181 Nonassociative rings and algebras (17-XX)
104 Group theory and generalizations (20-XX)
81 Commutative algebra (13-XX)
33 General algebraic systems (08-XX)
26 Computer science (68-XX)
23 Combinatorics (05-XX)
13 Mathematical logic and foundations (03-XX)
13 Category theory; homological algebra (18-XX)
9 History and biography (01-XX)
8 Field theory and polynomials (12-XX)
6 Number theory (11-XX)
6 Algebraic geometry (14-XX)
6 Manifolds and cell complexes (57-XX)
5 Order, lattices, ordered algebraic structures (06-XX)
5 Topological groups, Lie groups (22-XX)
5 Approximations and expansions (41-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
5 Operator theory (47-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Functional analysis (46-XX)
3 Algebraic topology (55-XX)
2 Functions of a complex variable (30-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Differential geometry (53-XX)
2 Information and communication theory, circuits (94-XX)
1 General and overarching topics; collections (00-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 Partial differential equations (35-XX)
1 Difference and functional equations (39-XX)
1 Abstract harmonic analysis (43-XX)
1 Geometry (51-XX)
1 General topology (54-XX)
1 Probability theory and stochastic processes (60-XX)
1 Numerical analysis (65-XX)
1 Mechanics of particles and systems (70-XX)
1 Quantum theory (81-XX)

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