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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: 147 Publications since 1962, including 5 Books
15 Contributions as Editor
Reviewing Activity: 151 Reviews
Biographic References: 3 Publications
Co-Authors: 159 Co-Authors with 93 Joint Publications
3,758 Co-Co-Authors
all top 5

Co-Authors

65 single-authored
26 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
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 Taimanov, Iskander Asanovich
4 Zel’manov, Efim Isaakovich
4 Zhang, Zerui
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 G.
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, Alexei N.
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 L.
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 59 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

Publications by Year

Citations contained in zbMATH Open

108 Publications have been cited 962 times in 418 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
54
2014
Embeddings into simple associative algebras. Zbl 0355.16012
Bokut’, L. A.
40
1977
Gröbner-Shirshov bases for associative algebras with multiple operators and free Rota-Baxter algebras. Zbl 1213.16014
Bokut, L. A.; Chen, Yuqun; Qiu, Jianjun
40
2010
Rings. 3. Bibliography. (Кольца. III. Библиография.) Zbl 0267.17003
39
1973
Gröbner-Shirshov bases for dialgebras. Zbl 1245.17001
Bokut, L. A.; Chen, Yuqun; Liu, Cihua
39
2010
Gröbner-Shirshov bases: from their inception to the present time. Zbl 1069.16026
Bokut’, L. A.; Kolesnikov, P. S.
30
2000
Composition-diamond lemma for associative conformal algebras. Zbl 1108.17006
Bokut, L. A.; Fong, Y.; Ke, W.-F.
26
2004
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
Gröbner-Shirshov bases for Coxeter groups. Zbl 1065.17006
Bokut’, L. A.; Shiao, L.-S.
23
2001
Gröbner-Shirshov bases for Rota-Baxter algebras. Zbl 1235.16021
Bokut, L. A.; Chen, Yu.; Deng, X.
21
2010
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
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: some new results. Zbl 1207.16023
Bokut’, L. A.; Chen, Yuqun
18
2008
Gröbner-Shirshov basis for the braid group in the Birman-Ko-Lee generators. Zbl 1176.20036
Bokut, L. A.
18
2009
A base of free polynilpotent Lie algebras. Zbl 0161.03604
Bokut’, L. A.
18
1963
Gröbner-Shirshov basis for the braid group in the Artin-Garside generators. Zbl 1176.20035
Bokut, L. A.
17
2008
Gröbner-Shirshov bases for Lie algebras: after A. I. Shirshov. Zbl 1150.17008
Bokut, L. A.; Chen, Yuqun
16
2007
Gröbner-Shirshov bases and embeddings of algebras. Zbl 1236.16022
Bokut, L. A.; Chen, Yuqun; Mo, Qiuhui
15
2010
Gröbner-Shirshov bases for semirings. Zbl 1286.16038
Bokut, L. A.; Chen, Yuqun; Mo, Qiuhui
14
2013
Gröbner-Shirshov bases and composition lemma for associative conformal algebras: an example. Zbl 1063.16031
Bokut’, L. A.; Fong, Y.; Ke, W.-F.
14
2000
Gröbner-Shirshov bases, conformal algebras, and pseudo-algebras. Zbl 1150.16020
Bokut’, L. A.; Kolesnikov, P. S.
14
2005
Composition-diamond lemma for tensor product of free algebras. Zbl 1198.16022
Bokut, L. A.; Chen, Yuqun; Chen, Yongshan
13
2010
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.
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 some braid groups. Zbl 1126.20023
Bokut, Leonid; Vesnin, Andrei
10
2006
Unsolvability of the equality problem and subalgebras of finitely presented Lie algebras. Zbl 0275.02041
Bokut’, L. A.
9
1974
Gröbner-Shirshov bases method for Gelfand-Dorfman-Novikov algebras. Zbl 1405.17060
Bokut, L. A.; Chen, Yuqun; Zhang, Zerui
9
2017
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
Gröbner-Shirshov bases for categories. Zbl 1300.16023
Bokut, L. A.; Chen, Yuqun; Li, Yu
8
2012
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.
8
2009
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 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
Gröbner-Shirshov bases for Vinberg-Koszul-Gerstenhaber right-symmetric algebras. Zbl 1288.17001
Bokut’, L. A.; Chen, Yuqun; Li, Yu
8
2010
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.
7
2000
Degrees of unsolvability of the conjugacy problem for finitely presented groups. Zbl 0182.01803
Bokut’, L. A.
7
1968
On a property of Boone groups. II. Zbl 0189.01201
Bokut’, L. A.
6
1967
Einbettungen in einfache assoziative Algebren. Zbl 0349.16007
Bokut’, L. A.
6
1976
Relative Gröbner-Shirshov bases for algebras and groups. Zbl 1206.16016
Bokut, L. A.; Shum, K. P.
6
2008
On free Gelfand-Dorfman-Novikov-Poisson algebras and a PBW theorem. Zbl 1456.17001
Bokut, L. A.; Chen, Yuqun; Zhang, Zerui
6
2018
A basis of a free metabelian associative algebra. Zbl 0774.16009
Bokut’, L. A.; Makar-Limanov, L. G.
6
1991
Embedding of rings. Zbl 0632.16001
Bokut’, L. A.
5
1987
Lyndon-Shirshov words, Gröbner-Shirshov bases, and free Lie algebras. Zbl 1330.17001
Bokut, L.; Chibrikov, E. S.
5
2006
New approaches to plactic monoid via Gröbner-Shirshov bases. Zbl 1309.16014
Bokut, L. A.; Chen, Yuqun; Chen, Weiping; Li, Jing
5
2015
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
Anti-commutative Gröbner-Shirshov basis of a free Lie algebra. Zbl 1190.16034
Bokut, L. A.; Chen, YuQun; Li, Yu
5
2009
Novikov’s centrally symmetric group. Zbl 0601.20038
Bokut’, L. A.
4
1985
Quotient groups of the multiplicative semigroups of certain rings. I, II. Zbl 0213.31801
Bokut’, L. A.
4
1969
The Jacobian conjecture, together with Specht and Burnside-type problems. Zbl 1327.14256
Belov, Alexei; Bokut, Leonid; Rowen, Louis; Yu, Jie-Tai
4
2014
Serre relations and Gröbner-Shirshov bases for simple Lie algebras. II. Zbl 0866.17008
Bokut, L. A.; Klein, A. A.
4
1996
Non-commutative rings. Zbl 0687.16001
Bokut’, L. A.; L’vov, I. V.; Kharchenko, V. K.
3
1988
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
Prime rings with semigroup generalized identity. Zbl 0949.16022
Beidar, K. I.; Fong, Y.; Bokut’, L. A.
3
2000
Free Gelfand-Dorfman-Novikov superalgebras and a Poincaré-Birkhoff-Witt type theorem. Zbl 1444.17001
Zhang, Zerui; Chen, Yuqun; Bokut, Leonid A.
3
2019
Embedding of rings into skew fields. Zbl 0159.04401
Bokut’, L. A.
3
1967
Gröbner-Shirshov basis for the Temperley-Lieb-Kauffman monoid. Zbl 1191.16024
Bokut’, L. A.; Lee, D. V.
3
2005
Unsolvable algorithmic problems for semigroups, groups and rings. Zbl 0666.20017
Bokut’, L. A.; Kukin, G. P.
2
1989
Unsolvable algorithmic problems for semigroups, groups and rings. Zbl 0632.20024
Bokut’, L. A.; Kukin, G. P.
2
1987
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
Some questions of combinatorial algebra. Zbl 0542.16013
Bokut’, L. A.
2
1983
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
Groups with relative standard basis. Zbl 0317.20023
Bokut’, L. A.
2
1968
Abstract semigroups and groups of formal series of dependent variables. Zbl 0874.20041
Bokut’, L. A.
2
1996
Gröbner-Shirshov bases for algebras, groups, and semigroups. Zbl 1045.16011
Bokut, L.; Fong, Y.; Shiao, L.-S.
2
2003
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
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
Gröbner-Shirshov bases. Normal forms, combinatorial and decision problems in algebra. Zbl 1448.13001
Bokut, Leonid; Chen, Yuqun; Kalorkoti, Kyriakos; Kolesnikov, Pavel; Lopatkin, Viktor
2
2020
Einbettung Liescher Algebren in algebraisch abgeschlossene Liesche Algebren. Zbl 0156.03902
Bokut’, L. A.
2
1962
Some results by A. I. Shirshov and his school. Zbl 0841.16002
Bokut’, L. A.; Shestakov, I. P.
2
1995
Noncommutative rings. Zbl 0725.16003
Bokut’, L. A.; L’vov, I. V.; Kharchenko, V. K.
1
1991
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
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
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
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
Unsolvability of the word problem for Lie algebras. Zbl 0267.02032
Bokut’, L. A.
1
1972
Gröbner-Shirshov bases and PBW theorems. Zbl 07325011
Bokut, Leonid A.; Chen, Yuqun
1
2013
New results in the theory of associative and Lie rings. Zbl 0488.17001
Bokut’, L. A.
1
1981
Markov and Artin normal form theorem for braid groups. Zbl 1167.20326
Bokut, L. A.; Chaynikov, V. V.; Shum, K. P.
1
2007
The Gröbner–Shirshov bases method. Zbl 0902.17001
Bokut’, L. A.
1
1997
Gröbner-Shirshov bases. Normal forms, combinatorial and decision problems in algebra. Zbl 1448.13001
Bokut, Leonid; Chen, Yuqun; Kalorkoti, Kyriakos; Kolesnikov, Pavel; Lopatkin, Viktor
2
2020
Free Gelfand-Dorfman-Novikov superalgebras and a Poincaré-Birkhoff-Witt type theorem. Zbl 1444.17001
Zhang, Zerui; Chen, Yuqun; Bokut, Leonid A.
3
2019
Some algorithmic problems for Poisson algebras. Zbl 1462.17024
Zhang, Zerui; Chen, Yuqun; Bokut, Leonid A.
1
2019
On free Gelfand-Dorfman-Novikov-Poisson algebras and a PBW theorem. Zbl 1456.17001
Bokut, L. A.; Chen, Yuqun; Zhang, Zerui
6
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
9
2017
New approaches to plactic monoid via Gröbner-Shirshov bases. Zbl 1309.16014
Bokut, L. A.; Chen, Yuqun; Chen, Weiping; Li, Jing
5
2015
Gröbner-Shirshov bases and their calculation. Zbl 1350.13001
Bokut, L. A.; Chen, Yuqun
54
2014
The Jacobian conjecture, together with Specht and Burnside-type problems. Zbl 1327.14256
Belov, Alexei; Bokut, Leonid; Rowen, Louis; Yu, Jie-Tai
4
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
Gröbner-Shirshov bases and PBW theorems. Zbl 07325011
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
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
40
2010
Gröbner-Shirshov bases for dialgebras. Zbl 1245.17001
Bokut, L. A.; Chen, Yuqun; Liu, Cihua
39
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
8
2010
Gröbner-Shirshov basis for the braid group in the Birman-Ko-Lee generators. Zbl 1176.20036
Bokut, L. A.
18
2009
Gröbner-Shirshov bases for free inverse semigroups. Zbl 1173.20039
Bokut, L. A.; Chen, Yuqun; Zhao, Xiangui
12
2009
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.
8
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.
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
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
10
2006
Lyndon-Shirshov words, Gröbner-Shirshov bases, and free Lie algebras. Zbl 1330.17001
Bokut, L.; Chibrikov, E. S.
5
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.
26
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.
23
2001
Gröbner-Shirshov bases: from their inception to the present time. Zbl 1069.16026
Bokut’, L. A.; Kolesnikov, P. S.
30
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.
14
2000
Free associative conformal algebras. Zbl 1056.16020
Bokut, L. A.; Fong, Y.; Ke, W.-F.
7
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.
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.
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
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
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
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.
40
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.
6
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.
2
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
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
...and 8 more Documents
all top 5

Cited by 391 Authors

39 Bokut, Leonid A.
39 Chen, Yuqun
18 Obul, Abdukadir
15 Kolesnikov, Pavel Sergeevich
15 Zhuchok, Anatolii V.
14 Umirbaev, Ualbaĭ Utmakhanbetovich
12 Gao, Xing
11 Karpuz, Eylem Güzel
11 Mikhalëv, Aleksandr Aleksandrovich
10 Lee, Dong-Il
9 Çevik, Ahmet Sinan
9 Li, Yu
9 Mo, Qiuhui
9 Zhang, Zerui
8 Guo, Li
6 Ateş, Firat
6 Luo, Yan Feng
6 Poroshenko, Evgeniĭ Nikolaevich
6 Qiu, Jianjun
5 Kukin, G. P.
5 La Scala, Roberto
5 Lee, Kyu-Hwan
5 Mikhalëv, Aleksandr Vasil’evich
5 Rényi, Alfréd
5 Yu, Jie-Tai
5 Yunus, Gulshadam
5 Zhao, Xiangui
4 Bahturin, Yuri
4 Bremner, Murray R.
4 Chen, Yongshan
4 Gubarev, Vsevolod Yur’evich
4 Kang, Seok-Jin
4 Kim, Sungsoon
4 Kozlov, Roman A.
4 Lopatkin, Viktor
4 Madariaga, Sara
4 Regensburger, Georg
3 Chen, Dan
3 Dotsenko, Vladimir Viktorovich
3 Fong, Yuen
3 Hossein Poor, Jamal
3 Kanel’-Belov, Alekseĭ Yakovlevich
3 Kharchenko, Vladislav K.
3 Khoroshkin, Anton
3 Koryukin, A. N.
3 Malev, Sergey
3 Ol’shanskiĭ, Aleksandr Yur’evich
3 Panasenko, Aleksandr Sergeevich
3 Piontkovski, Dmitri
3 Raab, Clemens G.
3 Shum, Kar-Ping
3 Tuniyaz, Rabigul
3 Yilmaz, Erol
3 Zhang, Yuanyuan
3 Zheng, Shanghua
3 Zhong, Chanyan
3 Zhuchok, Yurii V.
2 AlHussein, Hassan
2 Alsulami, Hamed Hamdan
2 Artamonov, Vyacheslav Aleksandrovich
2 Beidar, Konstantin Igorevich
2 Berceanu, Barbu Rudolf
2 Chaynikov, V. V.
2 Chen, Yuzhu
2 Collins, Donald J.
2 Drensky, Vesselin
2 Ekici, Naime
2 Gao, Zhenzhen
2 Gerritzen, Lothar
2 Gupta, Chander Kanta
2 Hong, Yanyong
2 Hu, Xun
2 Kaĭgorodov, Ivan B.
2 Ke, Wen-Fong
2 Kelarev, Andrei Vladimirovich
2 Kępczyk, Marek
2 Klimakov, A. V.
2 Kocapınar, Canan
2 Ladra González, Manuel
2 Malbos, Philippe
2 Malcolmson, Peter
2 Malheiro, António
2 Ogievetsky, Oleg V.
2 Özalan, Nurten Urlu
2 Ozel, Cenap
2 Park, Hyungju
2 Petrogradsky, Victor Mikhaylovich
2 Qiang, Chengxiu
2 Révész, Pál
2 Roman’kov, Vitaly Anatol’evich
2 Rosenkranz, Markus
2 Rowen, Louis Halle
2 Shestakov, Ivan Pavlovich
2 Smoktunowicz, Agata
2 Stöhr, Ralph
2 Takács, Lajos
2 Timoshenko, Evgeniĭ Iosifovich
2 Ustaoğlu, Uğur
2 Volkov, Mikhail Vladimirovich
2 Wazzan, Suha Ahmad
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Cited in 96 Serials

60 Journal of Algebra
37 Communications in Algebra
25 Algebra and Logic
25 Journal of Algebra and its Applications
16 Acta Mathematica Academiae Scientiarum Hungaricae
15 Journal of Mathematical Sciences (New York)
14 International Journal of Algebra and Computation
13 Siberian Mathematical Journal
12 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
5 Algebras and Representation Theory
5 Sibirskie Èlektronnye Matematicheskie Izvestiya
4 Linear and Multilinear Algebra
4 Proceedings of the American Mathematical Society
4 St. Petersburg Mathematical Journal
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 Linear Algebra and its Applications
3 Journal of Algebraic Combinatorics
3 Frontiers of Mathematics in China
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 Pacific Journal of Mathematics
2 Results in Mathematics
2 Transactions of the American Mathematical Society
2 Science in China. Series A
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
2 Open Mathematics
2 AIMS Mathematics
1 Archive for History of Exact Sciences
1 Communications in Mathematical Physics
1 Indian Journal of Pure & Applied Mathematics
1 Journal of Mathematical Physics
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 Number Theory
1 The Journal of Symbolic Logic
1 Mathematische Nachrichten
1 Quaestiones Mathematicae
1 Theoretical Computer Science
1 Topology and its Applications
1 Acta Mathematica Hungarica
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 Filomat
1 Journal of Lie Theory
1 Selecta Mathematica. New Series
1 Buletinul Academiei de Științe a Republicii Moldova. Matematica
1 Matematychni Studiï
1 Lobachevskii Journal of Mathematics
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Central European Journal of Mathematics
1 Hacettepe Journal of Mathematics and Statistics
1 Mediterranean Journal of Mathematics
1 Fixed Point Theory and Applications
1 Journal of Noncommutative Geometry
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 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Transactions of the American Mathematical Society. Series B
1 Journal of Siberian Federal University. Mathematics & Physics
1
1 Advanced Studies: Euro-Tbilisi Mathematical Journal
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Cited in 41 Fields

207 Associative rings and algebras (16-XX)
200 Nonassociative rings and algebras (17-XX)
121 Group theory and generalizations (20-XX)
82 Commutative algebra (13-XX)
36 General algebraic systems (08-XX)
28 Computer science (68-XX)
25 Combinatorics (05-XX)
14 Category theory; homological algebra (18-XX)
12 Mathematical logic and foundations (03-XX)
9 Algebraic geometry (14-XX)
8 Field theory and polynomials (12-XX)
8 Manifolds and cell complexes (57-XX)
7 History and biography (01-XX)
7 Topological groups, Lie groups (22-XX)
6 Number theory (11-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
6 Operator theory (47-XX)
5 Order, lattices, ordered algebraic structures (06-XX)
4 Approximations and expansions (41-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Functional analysis (46-XX)
4 Algebraic topology (55-XX)
3 Dynamical systems and ergodic theory (37-XX)
2 Functions of a complex variable (30-XX)
2 Geometry (51-XX)
2 Differential geometry (53-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 Partial differential equations (35-XX)
1 Difference and functional equations (39-XX)
1 Abstract harmonic analysis (43-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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