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Shestakov, Ivan Pavlovich

Author ID: shestakov.ivan-p Recent zbMATH articles by "Shestakov, Ivan Pavlovich"
Published as: Shestakov, I. P.; Shestakov, Ivan; Shestakov, Ivan P.; Shestakov, I.; Shestakov, Ivan Pavlovich
Further Spellings: Шестаков Иван Павлович
Homepage: https://www.ime.usp.br/~shestak/
External Links: MGP · Wikidata · Google Scholar · Math-Net.Ru · dblp · GND · IdRef
Documents Indexed: 191 Publications since 1971, including 5 Books and 6 Additional arXiv Preprints
8 Contributions as Editor
Reviewing Activity: 101 Reviews
Biographic References: 2 Publications
Co-Authors: 218 Co-Authors with 145 Joint Publications
4,399 Co-Co-Authors
all top 5

Co-Authors

47 single-authored
12 Bokut, Leonid A.
12 Zel’manov, Efim Isaakovich
8 Pozhidaev, Aleksandr Petrovich
8 Slinko, Arkadii M.
8 Umirbaev, Ualbaĭ Utmakhanbetovich
8 Zaĭtsev, Mikhail Vladimirovich
8 Zhukavets, Natalia
7 Kharchenko, Vladislav K.
7 Pérez-Izquierdo, José María
7 Shirshov, Anatoliĭ Illarionovich
6 Bahturin, Yuri
6 Kuz’min, E. N.
6 López-Díaz, María Concepción
6 Petrogradsky, Victor Mikhaylovich
5 Ershov, Yuriĭ Leonidovich
5 Grishkov, Alexander Nikolaevich
5 Martínez López, Consuelo
5 Pchelintsev, Sergeĭ Valentinovich
5 Romanovskii, N. S.
5 Zhelyabin, Viktor Nikolaevich
5 Zhevlakov, K. A.
4 Artamonov, Vyacheslav Aleksandrovich
4 Elduque, Alberto
4 Kashuba, Iryna
4 Latyshev, Viktor Nikolaevich
4 Makar-Limanov, Leonid G.
4 Mikhalëv, Aleksandr Vasil’evich
4 Mostovoy, Jacob
4 Ol’shanskiĭ, Aleksandr Yur’evich
3 Kolesnikov, Pavel Sergeevich
3 Mikhalëv, Aleksandr Aleksandrovich
3 Murakami, Lucia S. I.
3 Novikov, Sergeĭ Petrovich
3 Ovsienko, Sergei A.
3 Remeslennikov, Vladimir Nikanorovich
3 Zhang, Zerui
2 Borisenko, Vladimir V.
2 Bunina, Elena Igor’evna
2 Caicedo, Xavier
2 Filippov, V. T.
2 Futorny, Vyacheslav M.
2 Giraldo, Hernán
2 Gómez-Ambrosi, Carlos
2 Goncharov, Sergeĭ Savost’yanovich
2 González, Santos
2 Grigorchuk, Rostislav Ivanovich
2 Guterman, Alexander Èmilevich
2 Kac, Victor
2 Kanel’-Belov, Alekseĭ Yakovlevich
2 Kargapolov, Mikhail Ivanovich
2 Kemer, Aleksandr Robertovich
2 Kolmogorov, Andreĭ Nikolaevich
2 Kornev, Aleksandr Ivanovich
2 Kostrikin, Alekseĭ Ivanovich
2 Laliena, Jesús A.
2 Mazurov, Viktor Danilovich
2 Parshin, Alekseĭ Nikolaevich
2 Picanço da Silva, Juaci
2 Platonov, Vladimir Petrovich
2 Polikarpov, S. V.
2 Prokhorov, Yuriĭ Gennad’evich
2 Roman’kov, Vitaly Anatol’evich
2 Santos Filho, G.
2 Shafarevich, Andreĭ Igorevich
2 Sobolev, Sergeĭ L’vovich
2 Sverchkov, Sergei Robertovich
2 Taĭmanov, Iskander Asanovich
1 Adrianov, Nikolai M.
1 Alaev, Pavel Evgenievich
1 Andriĭchuk, Vasyl’ Ivanovych
1 Andruskiewitsch, Nicolás
1 Anquela, José Angel
1 Arenas, Manuel J.
1 Babych, V”yacheslav Mykhaĭlovych
1 Baizhanov, Bektur Sembiuly
1 Balaba, Irina Nikolaevna
1 Bezushchak, Oksana O.
1 Bittencourt, V. S.
1 Bondarenko, Vitalij M.
1 Bremner, Murray R.
1 Brešar, Matej
1 Brzeziński, Tomasz
1 Bukhshtaber, Viktor Matveevich
1 Chatzidakis, Zoé Maria
1 Chen, Yuqun
1 Chubarov, Igor A.
1 Churkin, Valerii Avdeevich
1 Cortés, Teresa
1 Crode, Sidney Dale
1 Dokuchaev, Mikhailo
1 Drensky, Vesselin
1 Drozd, Yuriĭ Anatoliĭovych
1 Dubrovin, Nikolaĭ Ivanovich
1 Frabetti, Alessandra
1 Gaifullin, Sergey A.
1 Ganiushkin, O. G.
1 Giambruno, Antonio
1 Glavatskiĭ, Sergeĭ Timofeevich
1 Golod, Evgeniĭ Solomonovich
1 Golubchik, Igor Z.
...and 123 more Co-Authors
all top 5

Serials

24 Journal of Algebra
21 Algebra and Logic
14 Communications in Algebra
10 Algebra i Logika
5 Russian Mathematical Surveys
5 Doklady Mathematics
5 Algebra and Discrete Mathematics
5 Journal of Algebra and its Applications
5 São Paulo Journal of Mathematical Sciences
4 Journal of Pure and Applied Algebra
4 Siberian Mathematical Journal
3 Mathematical Notes
3 Matematicheskie Zametki
3 Proceedings of the American Mathematical Society
3 Sibirskiĭ Matematicheskiĭ Zhurnal
3 Transactions of the American Mathematical Society
3 International Journal of Algebra and Computation
3 Resenhas do Instituto do Matemática e Estatística da Universidade de São Paulo
2 Israel Journal of Mathematics
2 Advances in Mathematics
2 Journal of the American Mathematical Society
2 Mathematics of the USSR, Sbornik
2 Journal of Mathematical Sciences (New York)
2 Journal of Lie Theory
2 Nova Journal of Algebra and Geometry
2 Algebras and Representation Theory
1 Uspekhi Matematicheskikh Nauk [N. S.]
1 Archiv der Mathematik
1 Geometriae Dedicata
1 Glasgow Mathematical Journal
1 Journal of the London Mathematical Society. Second Series
1 Journal of Soviet Mathematics
1 Matematicheskiĭ Sbornik. Novaya Seriya
1 Mathematics of the USSR. Izvestiya
1 Advances in Applied Mathematics
1 Acta Applicandae Mathematicae
1 Revista Matemática Iberoamericana
1 Siberian Advances in Mathematics
1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya
1 Linear Algebra and its Applications
1 Proceedings of the National Academy of Sciences of the United States of America
1 Matematicheskiĭ Sbornik
1 Russian Academy of Sciences. Doklady. Mathematics
1 Advances in Applied Clifford Algebras
1 Transformation Groups
1 Fundamental’naya i Prikladnaya Matematika
1 Journal of the European Mathematical Society (JEMS)
1 The Quarterly Journal of Mathematics
1 Sibirskie Èlektronnye Matematicheskie Izvestiya
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Matematicheskiĭ Zhurnal
1 Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Fundamental’nye Napravleniya
1 Lecture Notes in Pure and Applied Mathematics
1 Pure and Applied Mathematics (Academic Press)
1 Groups, Geometry, and Dynamics
1 Bulletin of Mathematical Sciences
1 Trends in Mathematics
1 Contemporary Mathematicians

Publications by Year

Citations contained in zbMATH Open

157 Publications have been cited 2,029 times in 1,222 Documents Cited by Year
Rings that are nearly associative. Transl. from the Russian by Harry F. Smith. Zbl 0487.17001
Zhevlakov, K. A.; Slin’ko, A. M.; Shestakov, I. P.; Shirshov, A. I.
376
1982
Rings that are nearly associative. (Кол’ца, близкие к ассоциативным.) Zbl 0445.17001
Zhevlakov, K. A.; Slin’ko, A. M.; Shestakov, I. P.; Shirshov, A. I.
158
1978
The tame and the wild automorphisms of polynomial rings in three variables. Zbl 1056.14085
Shestakov, Ivan P.; Umirbaev, Ualbai U.
147
2004
Poisson brackets and two-generated subalgebras of rings of polynomials. Zbl 1044.17014
Shestakov, Ivan P.; Umirbaev, Ualbai U.
68
2004
Gradings on simple Jordan and Lie algebras. Zbl 1066.17018
Bahturin, Y. A.; Shestakov, I. P.; Zaicev, M. V.
64
2005
An envelope for Malcev algebras. Zbl 1077.17027
Pérez-Izquierdo, José M.; Shestakov, Ivan P.
40
2004
The Nagata automorphism is wild. Zbl 1065.13010
Shestakov, Ivan P.; Umirbaev, Ualbai U.
40
2003
Prime alternative superalgebras of arbitrary characteristic. Zbl 0904.17025
Shestakov, I. P.
39
1997
Free Akivis algebras, primitive elements, and hyperalgebras. Zbl 0993.17002
Shestakov, Ivan P.; Umirbaev, Ualbai U.
38
2002
On the Lie structure of the skew elements of a simple superalgebra with superinvolution. Zbl 0916.17007
Gómez-Ambrosi, Carlos; Shestakov, Ivan P.
36
1998
Quantization of Poisson superalgebras and speciality of Jordan Poisson superalgebras. Zbl 0826.17013
Shestakov, I. P.
33
1993
On local finiteness in the sense of Shirshov. Zbl 0289.17001
Zhevlakov, K. A.; Shestakov, I. P.
30
1974
Finite-dimensional non-associative algebras and codimension growth. Zbl 1290.17028
Giambruno, Antonio; Shestakov, Ivan; Zaicev, Mikhail
29
2011
Dniester notebook: unsolved problems in the theory of rings and modules. Zbl 1288.16001
Filippov, V. T.; Kharchenko, V. K.; Shestakov, I. P.
25
2006
Prime alternative superalgebras and nilpotency of the radical of a free alternative algebra. Zbl 0713.17020
Zel’manov, E. I.; Shestakov, I. P.
23
1990
Polynomial and Poisson dependence in free Poisson algebras and free Poisson fields. Zbl 1259.17021
Makar-Limanov, Leonid; Shestakov, Ivan
22
2012
Absolute zero-divisors and radicals of finitely generated alternative algebras. Zbl 0369.17011
Shestakov, I. P.
22
1976
On the Lie structure of the skew elements of a prime superalgebra with superinvolution. Zbl 1121.17300
Gómez-Ambrosi, Carlos; Laliena, Jesús; Shestakov, Ivan P.
21
2000
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
Every Akivis algebra is linear. Zbl 1043.17002
Shestakov, Ivan P.
19
1999
Prime alternative superalgebras and nilpotence of the radical of a free alternative algebra. Zbl 0724.17022
Zel’manov, E. I.; Shestakov, I. P.
19
1991
Jordan superalgebras defined by brackets. Zbl 1043.17018
Martínez, Consuelo; Shestakov, Ivan; Zelmanov, Efim
19
2001
Jordan algebras. (Иордановы алгебры.) Zbl 0343.17007
Zhevlakov, K. A.; Slin’ko, A. M.; Shestakov, I. P.; Shirshov, A. I.
18
1976
PBW-pairs of varieties of linear algebras. Zbl 1300.17006
Mikhalev, Alexander A.; Shestakov, Ivan P.
18
2014
Some examples of nil Lie algebras. Zbl 1144.17013
Shestakov, I. P.; Zelmanov, E.
16
2008
Polynomial identities of finite dimensional simple algebras. Zbl 1253.17003
Shestakov, Ivan; Zaicev, Mikhail
16
2011
Superalgebras and counterexamples. Zbl 0756.17001
Shestakov, I. P.
16
1991
On right alternative superalgebras. Zbl 1384.17007
Picanço da Silva, Juaci; Murakami, Lucia S. I.; Shestakov, Ivan
16
2016
Radicals and nilpotent elements of free alternative algebras. Zbl 0329.17005
Shestakov, I. P.
15
1975
Non-associative algebra and its applications. Proceedings of the 5th international conference, Oaxtep, Mexico, July 27–August 2, 2003. Zbl 1089.17001
15
2006
Simple special Jordan superalgebras with associative even part. Zbl 1059.17021
Zhelyabin, V. N.; Shestakov, I. P.
15
2004
Free generic Poisson fields and algebras. Zbl 1434.17027
Kaygorodov, Ivan; Shestakov, Ivan; Umirbaev, Ualbai
15
2018
Nil graded self-similar algebras. Zbl 1229.17025
Petrogradsky, Victor M.; Shestakov, Ivan P.; Zelmanov, Efim
14
2010
Free Malcev superalgebra on one odd generator. Zbl 1050.17026
Shestakov, Ivan P.
14
2003
General algebra. Tom 1. Ed. by L. A. Skornyakov. (Общая алгебра. Том 1.) Zbl 0751.00002
Mel’nikov, O. V.; Remeslennikov, V. N.; Roman’kov, V. A.; Skornyakov, L. A.; Shestakov, I. P.
14
1990
Hopf algebras in non-associative Lie theory. Zbl 1393.17001
Mostovoy, J.; Pérez-Izquierdo, J. M.; Shestakov, I. P.
14
2014
Prime \((-1,1)\) and Jordan monsters and superalgebras of vector type. Zbl 1369.17029
Pchelintsev, Sergey V.; Shestakov, Ivan P.
14
2015
Jordan bimodules over the superalgebras \(P(n)\) and \(Q(n)\). Zbl 1195.17024
Martínez, Consuelo; Shestakov, Ivan; Zelmanov, Efim
13
2010
Alternative and Jordan superalgebras. Zbl 0937.17023
Shestakov, I. P.
12
1999
Irreducible non-Lie modules for Malcev superalgebras. Zbl 0824.17005
Elduque, Alberto; Shestakov, Ivan P.
12
1995
Representations of exceptional simple alternative superalgebras of characteristic 3. Zbl 1063.17021
López-Díaz, M. C.; Shestakov, Ivan P.
12
2002
Examples of self-iterating Lie algebras. II. Zbl 1253.17011
Petrogradsky, V. M.; Shestakov, I. P.
11
2009
Speciality problem for Malcev algebras and Poisson Malcev algebras. Zbl 0971.17019
Shestakov, Ivan P.
11
2000
Subalgebras and automorphisms of polynomial rings. Zbl 1170.14310
Umirbaev, U. U.; Shestakov, I. P.
11
2002
Irreducible bimodules over alternative algebras and superalgebras. Zbl 1397.17006
Shestakov, Ivan; Trushina, Maria
11
2016
The free alternative superalgebra on one odd generator. Zbl 1205.17033
Shestakov, Ivan; Zhukavets, Natalia
10
2007
Jordan algebras of dimension three: geometric classification and representation type. Zbl 1232.17044
Kashuba, Iryna; Shestakov, Ivan
10
2007
Gradings of simple Jordan algebras and their relation to the gradings of simple associative algebras. Zbl 1054.17025
Bahturin, Yuri; Shestakov, Ivan
10
2001
Irreducible unital right alternative bimodules. Zbl 1002.17018
Ikemoto Murakami, Lucia; Shestakov, Ivan
10
2001
The universal multiplicative envelope of the free Malcev superalgebra on one odd generator. Zbl 1138.17015
Shestakov, Ivan; Zhukavets, Natalia
9
2006
Nonassociative structures. Zbl 0713.17001
Kuz’min, E. N.; Shestakov, I. P.
9
1990
A problem of Shirshov. Zbl 0399.17006
Shestakov, I. P.
9
1977
The Freiheitssatz for generic Poisson algebras. Zbl 1346.17003
Kolesnikov, Pavel S.; Makar-Limanov, Leonid G.; Shestakov, Ivan P.
9
2014
Solvability and nilpotency of Novikov algebras. Zbl 1477.17005
Shestakov, Ivan; Zhang, Zerui
9
2020
Finitely generated special Jordan and alternative PI-algebras. Zbl 0524.17008
Shestakov, I. P.
8
1983
Finite-dimensional algebras with a nil-basis. Zbl 0224.17001
Shestakov, I. P.
8
1971
Representations of exceptional simple Jordan superalgebras of characteristic 3. Zbl 1069.17011
López-Díaz, M. C.; Shestakov, Ivan P.
8
2005
Superalgebras and counterexamples. Zbl 0777.17004
Shestakov, I. P.
8
1991
Moufang loops and alternative algebras. Zbl 1038.17024
Shestakov, Ivan P.
7
2004
Right representations of algebras. Zbl 0342.17003
Slin’ko, A. M.; Shestakov, I. P.
7
1975
Simple \((-1,1)\)-superalgebras. Zbl 0913.17003
Shestakov, I. P.
7
1998
The Malcev Poisson superalgebra of the free Malcev superalgebra on one odd generator. Zbl 1161.17325
Shestakov, Ivan; Zhukavets, Natalia
7
2006
Chevalley and Kostant theorems for Mal’tsev algebras. Zbl 1164.17025
Zhelyabin, V. N.; Shestakov, I. P.
7
2007
The Dniester notebook. Unsolved problems in the theory of rings and modules. 4th ed. (Днестровская тетрад’. Нерешенные проблемы теории колец и модулей.) Zbl 0868.16001
7
1993
A non-associative Baker-Campbell-Hausdorff formula. Zbl 1428.17002
Mostovoy, J.; Pérez-Izquierdo, J. M.; Shestakov, I. P.
7
2017
Self-similar associative algebras. Zbl 1293.16020
Petrogradsky, V. M.; Shestakov, I. P.
7
2013
On properties of the Fibonacci restricted Lie algebra. Zbl 1280.17019
Petrogradsky, V. M.; Shestakov, I. P.
7
2013
Quantization of Poisson algebras, and weak speciality of the Jordan superalgebras associated with them. Zbl 0832.17034
Shestakov, I. P.
6
1994
Speciality of Lie-Jordan algebras. Zbl 0988.17026
Grishkov, A. N.; Shestakov, Ivan P.
6
2001
Linear representability of Akivis algebras. Zbl 1034.17500
Shestakov, I. P.
6
1999
Speciality of Malcev superalgebras on one odd generator. Zbl 1162.17028
Shestakov, Ivan; Zhukavets, Natalia
6
2006
Skew-symmetric identities of octonions. Zbl 1241.17033
Shestakov, Ivan; Zhukavets, Natalia
6
2009
Nonassociative affine algebras. Zbl 0760.17001
Polikarpov, S. V.; Shestakov, I. P.
6
1990
Nilpotent Sabinin algebras. Zbl 1362.17007
Mostovoy, J.; Pérez-Izquierdo, J. M.; Shestakov, I. P.
6
2014
Irreductible representations of the simple Jordan superalgebra of Grassmann Poisson bracket. Zbl 1344.17026
Solarte, Olmer Folleco; Shestakov, Ivan
6
2016
Representation type of Jordan algebras. Zbl 1219.17022
Kashuba, Iryna; Ovsienko, Serge; Shestakov, Ivan
6
2011
Automorphic equivalence of the representations of Lie algebras. Zbl 1358.17010
Shestakov, I.; Tsurkov, A.
6
2013
Commutative Moufang loops and alternative algebras. Zbl 1243.20076
Grishkov, Alexander N.; Shestakov, Ivan P.
5
2011
Prime Mal’tsev superalgebras. Zbl 0742.17007
Shestakov, I. P.
5
1991
Alternative algebras. Part I. (Альтернативные алгебры. Часть I.) Zbl 0402.17018
Zhevlakov, K. A.; Slin’ko, A. M.; Shestakov, I. P.; Shirshov, A. I.
5
1976
Centers of alternative algebras. Zbl 0402.17019
Shestakov, I. P.
5
1977
Prime Mal’tsev superalgebras. Zbl 0774.17007
Shestakov, I. P.
5
1993
Jordan gradings on associative algebras. Zbl 1237.16040
Bahturin, Yuri; Brešar, Matej; Shestakov, Ivan
5
2011
Invariants of \(\mathrm G_2\) and Spin(7) in positive characteristic. Zbl 1396.14042
Zubkov, A. N.; Shestakov, I. P.
5
2018
Simple finite-dimensional noncommutative Jordan superalgebras of characteristic 0. Zbl 1276.17017
Pozhidaev, A. P.; Shestakov, I. P.
5
2013
Simple finite-dimensional modular noncommutative Jordan superalgebras. Zbl 1472.17003
Pozhidaev, A. P.; Shestakov, I. P.
5
2019
On Jordan doubles of slow growth of Lie superalgebras. Zbl 1437.17011
Petrogradsky, Victor; Shestakov, I. P.
5
2019
Group gradings on associative superalgebras. Zbl 1154.16305
Bahturin, Y. A.; Shestakov, I. P.
4
2006
On speciality of Jordan brackets. Zbl 1185.17024
Shestakov, Ivan
4
2009
A characterization of Lie algebras of skew-symmetric elements. Zbl 1109.17011
Grishkov, A. N.; Shestakov, I. P.
4
2005
On associative representations of non-associative algebras. Zbl 1422.17028
Kornev, A. I.; Shestakov, I. P.
4
2018
Certain classes of noncommutative Jordan rings. Zbl 0259.17001
Shestakov, I. P.
4
1973
Noetherianness of wreath products of abelian Lie algebras with respect to equations of universal enveloping algebra. Zbl 1164.17010
Romanovskiĭ, N. S.; Shestakov, I. P.
4
2008
Nonassociative affine algebras. Zbl 0786.17002
Polikarpov, S. V.; Shestakov, I. P.
4
1990
On speciality of binary-Lie algebras. Zbl 1242.17028
Arenas, Manuel; Shestakov, Ivan
4
2011
Constants of partial derivations and primitive operations. Zbl 1422.08001
Pchelintsev, S. V.; Shestakov, I. P.
4
2017
Structurable superalgebras of Cartan type. Zbl 1201.17013
Pozhidaev, Alexander P.; Shestakov, Ivan P.
4
2010
On the right-symmetric algebras with a unital matrix subalgebra. Zbl 1503.17004
Pozhidaev, A. P.; Shestakov, I. P.
4
2021
Generalizations of Lie algebras. Zbl 1263.17006
Kharchenko, V. K.; Shestakov, I. P.
4
2012
Representations of alternative algebras and superalgebras. Zbl 1279.17006
Trushina, M. N.; Shestakov, I. P.
4
2012
On the right-symmetric algebras with a unital matrix subalgebra. Zbl 1503.17004
Pozhidaev, A. P.; Shestakov, I. P.
4
2021
Locally finite coalgebras and the locally nilpotent radical. I. Zbl 1494.17001
Santos Filho, G.; Murakami, L.; Shestakov, I.
3
2021
Fractal nil graded Lie, associative, Poisson, and Jordan superalgebras. Zbl 1470.16041
Petrogradsky, Victor; Shestakov, Ivan
3
2021
Simple right-symmetric \((1, 1)\)-superalgebras. Zbl 1515.17012
Pozhidaev, A. P.; Shestakov, I. P.
2
2021
Right alternative bimodules over Cayley algebra and coordinatization theorem. Zbl 1475.17052
Pchelintsev, S. V.; Shashkov, O. V.; Shestakov, I. P.
2
2021
Locally finite coalgebras and the locally nilpotent radical. II. Zbl 1494.17002
Santos Filho, G.; Murakami, L.; Shestakov, I.
1
2021
Automorphisms of finitely generated relatively free bicommutative algebras. Zbl 1498.17002
Shestakov, Ivan; Zhang, Zerui
1
2021
Eventually non-decreasing codimensions of *-identities. Zbl 1468.17007
Shestakov, I.; Zaicev, M.
1
2021
Solvability and nilpotency of Novikov algebras. Zbl 1477.17005
Shestakov, Ivan; Zhang, Zerui
9
2020
Locally nilpotent derivations and automorphisms of free associative algebra with two generators. Zbl 1460.16025
Crode, Sidney Dale; Shestakov, Ivan P.
2
2020
Simple finite-dimensional modular noncommutative Jordan superalgebras. Zbl 1472.17003
Pozhidaev, A. P.; Shestakov, I. P.
5
2019
On Jordan doubles of slow growth of Lie superalgebras. Zbl 1437.17011
Petrogradsky, Victor; Shestakov, I. P.
5
2019
Loop of formal diffeomorphisms and Faà di Bruno coloop bialgebra. Zbl 1475.20096
Frabetti, Alessandra; Shestakov, Ivan P.
3
2019
On torsion-free nilpotent loops. Zbl 1454.20121
Mostovoy, Jacob; Pérez-Izquierdo, José M.; Shestakov, Ivan P.
2
2019
Free generic Poisson fields and algebras. Zbl 1434.17027
Kaygorodov, Ivan; Shestakov, Ivan; Umirbaev, Ualbai
15
2018
Invariants of \(\mathrm G_2\) and Spin(7) in positive characteristic. Zbl 1396.14042
Zubkov, A. N.; Shestakov, I. P.
5
2018
On associative representations of non-associative algebras. Zbl 1422.17028
Kornev, A. I.; Shestakov, I. P.
4
2018
A finite presentation of Jordan algebras. Zbl 1472.17093
Shestakov, Ivan; Zelmanov, Efim
2
2018
Rings of constants of linear derivations on Fermat rings. Zbl 1461.13031
Veloso, Marcelo; Shestakov, Ivan
1
2018
Commuting \(U\)-operators and nondegenerate imbeddings of Jordan systems. Zbl 1430.17100
Anquela, José A.; Cortés, Teresa; Shestakov, Ivan
1
2018
A non-associative Baker-Campbell-Hausdorff formula. Zbl 1428.17002
Mostovoy, J.; Pérez-Izquierdo, J. M.; Shestakov, I. P.
7
2017
Constants of partial derivations and primitive operations. Zbl 1422.08001
Pchelintsev, S. V.; Shestakov, I. P.
4
2017
Basic superranks for varieties of algebras. Zbl 1417.17006
Kuz’min, Alexey; Shestakov, Ivan
2
2017
On the representation type of Jordan basic algebras. Zbl 1371.17026
Kashuba, Iryna; Ovsienko, Serge; Shestakov, Ivan
1
2017
On right alternative superalgebras. Zbl 1384.17007
Picanço da Silva, Juaci; Murakami, Lucia S. I.; Shestakov, Ivan
16
2016
Irreducible bimodules over alternative algebras and superalgebras. Zbl 1397.17006
Shestakov, Ivan; Trushina, Maria
11
2016
Irreductible representations of the simple Jordan superalgebra of Grassmann Poisson bracket. Zbl 1344.17026
Solarte, Olmer Folleco; Shestakov, Ivan
6
2016
On commuting \(U\)-operators in Jordan algebras. Zbl 1378.17048
Shestakov, Ivan
2
2016
Skew-symmetric identities of finitely generated Malcev algebras. Zbl 1479.17059
Shestakov, I.
1
2016
Prime \((-1,1)\) and Jordan monsters and superalgebras of vector type. Zbl 1369.17029
Pchelintsev, Sergey V.; Shestakov, Ivan P.
14
2015
Co-Moufang deformations of the universal enveloping algebra of the algebra of traceless octonions. Zbl 1395.17077
Pérez-Izquierdo, José M.; Shestakov, Ivan P.
2
2015
PBW-pairs of varieties of linear algebras. Zbl 1300.17006
Mikhalev, Alexander A.; Shestakov, Ivan P.
18
2014
Hopf algebras in non-associative Lie theory. Zbl 1393.17001
Mostovoy, J.; Pérez-Izquierdo, J. M.; Shestakov, I. P.
14
2014
The Freiheitssatz for generic Poisson algebras. Zbl 1346.17003
Kolesnikov, Pavel S.; Makar-Limanov, Leonid G.; Shestakov, Ivan P.
9
2014
Nilpotent Sabinin algebras. Zbl 1362.17007
Mostovoy, J.; Pérez-Izquierdo, J. M.; Shestakov, I. P.
6
2014
Self-similar associative algebras. Zbl 1293.16020
Petrogradsky, V. M.; Shestakov, I. P.
7
2013
On properties of the Fibonacci restricted Lie algebra. Zbl 1280.17019
Petrogradsky, V. M.; Shestakov, I. P.
7
2013
Automorphic equivalence of the representations of Lie algebras. Zbl 1358.17010
Shestakov, I.; Tsurkov, A.
6
2013
Simple finite-dimensional noncommutative Jordan superalgebras of characteristic 0. Zbl 1276.17017
Pozhidaev, A. P.; Shestakov, I. P.
5
2013
Associative nil-algebras over finite fields. Zbl 1298.16011
Lopatin, Artem A.; Shestakov, Ivan P.
3
2013
The coordinate ring of an \(n\)-dimensional sphere and some examples of differentially simple algebras. Zbl 1387.17006
Zhelyabin, V. N.; Popov, A. A.; Shestakov, I. P.
2
2013
Polynomial and Poisson dependence in free Poisson algebras and free Poisson fields. Zbl 1259.17021
Makar-Limanov, Leonid; Shestakov, Ivan
22
2012
Generalizations of Lie algebras. Zbl 1263.17006
Kharchenko, V. K.; Shestakov, I. P.
4
2012
Representations of alternative algebras and superalgebras. Zbl 1279.17006
Trushina, M. N.; Shestakov, I. P.
4
2012
On the radical of a free Malcev algebra. Zbl 1301.17021
Shestakov, I. P.; Kornev, A. I.
1
2012
Finite-dimensional non-associative algebras and codimension growth. Zbl 1290.17028
Giambruno, Antonio; Shestakov, Ivan; Zaicev, Mikhail
29
2011
Polynomial identities of finite dimensional simple algebras. Zbl 1253.17003
Shestakov, Ivan; Zaicev, Mikhail
16
2011
Representation type of Jordan algebras. Zbl 1219.17022
Kashuba, Iryna; Ovsienko, Serge; Shestakov, Ivan
6
2011
Commutative Moufang loops and alternative algebras. Zbl 1243.20076
Grishkov, Alexander N.; Shestakov, Ivan P.
5
2011
Jordan gradings on associative algebras. Zbl 1237.16040
Bahturin, Yuri; Brešar, Matej; Shestakov, Ivan
5
2011
On speciality of binary-Lie algebras. Zbl 1242.17028
Arenas, Manuel; Shestakov, Ivan
4
2011
Associative identities of octonions. Zbl 1248.17002
Shestakov, I. P.
1
2011
Nil graded self-similar algebras. Zbl 1229.17025
Petrogradsky, Victor M.; Shestakov, Ivan P.; Zelmanov, Efim
14
2010
Jordan bimodules over the superalgebras \(P(n)\) and \(Q(n)\). Zbl 1195.17024
Martínez, Consuelo; Shestakov, Ivan; Zelmanov, Efim
13
2010
Structurable superalgebras of Cartan type. Zbl 1201.17013
Pozhidaev, Alexander P.; Shestakov, Ivan P.
4
2010
On the center of the universal enveloping algebra of the central simple non-Lie Malcev algebras in characteristic \(p\). Zbl 1259.17026
Pérez-Izquierdo, José M.; Shestakov, Ivan P.
3
2010
Noncommutative Jordan superalgebras of degree \(n \geq 2\). Zbl 1219.17001
Pozhidaev, A. P.; Shestakov, I. P.
3
2010
Structurable superalgebras of Cartan type. Zbl 1238.17004
Pozhidaev, A. P.; Shestakov, I. P.
3
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
Examples of self-iterating Lie algebras. II. Zbl 1253.17011
Petrogradsky, V. M.; Shestakov, I. P.
11
2009
Skew-symmetric identities of octonions. Zbl 1241.17033
Shestakov, Ivan; Zhukavets, Natalia
6
2009
On speciality of Jordan brackets. Zbl 1185.17024
Shestakov, Ivan
4
2009
An estimate of the dimension of the varieties of alternative and Jordan algebras. Zbl 1276.17019
Kashuba, Iryna; Shestakov, Ivan
1
2009
Some examples of nil Lie algebras. Zbl 1144.17013
Shestakov, I. P.; Zelmanov, E.
16
2008
Noetherianness of wreath products of abelian Lie algebras with respect to equations of universal enveloping algebra. Zbl 1164.17010
Romanovskiĭ, N. S.; Shestakov, I. P.
4
2008
A base of the free alternative superalgebra on one odd generator. Zbl 1216.17003
Zhukavets, N. M.; Shestakov, I. P.
1
2008
The free alternative superalgebra on one odd generator. Zbl 1205.17033
Shestakov, Ivan; Zhukavets, Natalia
10
2007
Jordan algebras of dimension three: geometric classification and representation type. Zbl 1232.17044
Kashuba, Iryna; Shestakov, Ivan
10
2007
Chevalley and Kostant theorems for Mal’tsev algebras. Zbl 1164.17025
Zhelyabin, V. N.; Shestakov, I. P.
7
2007
Dniester notebook: unsolved problems in the theory of rings and modules. Zbl 1288.16001
Filippov, V. T.; Kharchenko, V. K.; Shestakov, I. P.
25
2006
Non-associative algebra and its applications. Proceedings of the 5th international conference, Oaxtep, Mexico, July 27–August 2, 2003. Zbl 1089.17001
15
2006
The universal multiplicative envelope of the free Malcev superalgebra on one odd generator. Zbl 1138.17015
Shestakov, Ivan; Zhukavets, Natalia
9
2006
The Malcev Poisson superalgebra of the free Malcev superalgebra on one odd generator. Zbl 1161.17325
Shestakov, Ivan; Zhukavets, Natalia
7
2006
Speciality of Malcev superalgebras on one odd generator. Zbl 1162.17028
Shestakov, Ivan; Zhukavets, Natalia
6
2006
Group gradings on associative superalgebras. Zbl 1154.16305
Bahturin, Y. A.; Shestakov, I. P.
4
2006
Engel theorem for Jordan superalgebras. Zbl 1100.17013
Shestakov, Ivan; Okunev, Konstantin
1
2006
Gradings on simple Jordan and Lie algebras. Zbl 1066.17018
Bahturin, Y. A.; Shestakov, I. P.; Zaicev, M. V.
64
2005
Representations of exceptional simple Jordan superalgebras of characteristic 3. Zbl 1069.17011
López-Díaz, M. C.; Shestakov, Ivan P.
8
2005
A characterization of Lie algebras of skew-symmetric elements. Zbl 1109.17011
Grishkov, A. N.; Shestakov, I. P.
4
2005
Alternative superalgebras with DCC on two-sided ideals. Zbl 1099.17016
López-Díaz, M. C.; Shestakov, Ivan P.
2
2005
The tame and the wild automorphisms of polynomial rings in three variables. Zbl 1056.14085
Shestakov, Ivan P.; Umirbaev, Ualbai U.
147
2004
Poisson brackets and two-generated subalgebras of rings of polynomials. Zbl 1044.17014
Shestakov, Ivan P.; Umirbaev, Ualbai U.
68
2004
An envelope for Malcev algebras. Zbl 1077.17027
Pérez-Izquierdo, José M.; Shestakov, Ivan P.
40
2004
Simple special Jordan superalgebras with associative even part. Zbl 1059.17021
Zhelyabin, V. N.; Shestakov, I. P.
15
2004
Moufang loops and alternative algebras. Zbl 1038.17024
Shestakov, Ivan P.
7
2004
On associative algebras satisfying the identity \(x^5=0\). Zbl 1067.16044
Shestakov, Ivan; Zhukavets, Natalia
3
2004
Free Malcev superalgebra on one odd generator and related superalgebras. Zbl 1072.17016
Zhukavets, N. M.; Shestakov, I. P.
2
2004
The Nagata automorphism is wild. Zbl 1065.13010
Shestakov, Ivan P.; Umirbaev, Ualbai U.
40
2003
Free Malcev superalgebra on one odd generator. Zbl 1050.17026
Shestakov, Ivan P.
14
2003
Free Akivis algebras, primitive elements, and hyperalgebras. Zbl 0993.17002
Shestakov, Ivan P.; Umirbaev, Ualbai U.
38
2002
Representations of exceptional simple alternative superalgebras of characteristic 3. Zbl 1063.17021
López-Díaz, M. C.; Shestakov, Ivan P.
12
2002
Subalgebras and automorphisms of polynomial rings. Zbl 1170.14310
Umirbaev, U. U.; Shestakov, I. P.
11
2002
Jordan superalgebras defined by brackets. Zbl 1043.17018
Martínez, Consuelo; Shestakov, Ivan; Zelmanov, Efim
19
2001
Gradings of simple Jordan algebras and their relation to the gradings of simple associative algebras. Zbl 1054.17025
Bahturin, Yuri; Shestakov, Ivan
10
2001
Irreducible unital right alternative bimodules. Zbl 1002.17018
Ikemoto Murakami, Lucia; Shestakov, Ivan
10
2001
Speciality of Lie-Jordan algebras. Zbl 0988.17026
Grishkov, A. N.; Shestakov, Ivan P.
6
2001
Free Akivis algebras, primitive elements, and hyperalgebras. Zbl 1034.17002
Shestakov, Ivan P.; Umirbaev, Ualbai U.
2
2001
On the Lie structure of the skew elements of a prime superalgebra with superinvolution. Zbl 1121.17300
Gómez-Ambrosi, Carlos; Laliena, Jesús; Shestakov, Ivan P.
21
2000
Speciality problem for Malcev algebras and Poisson Malcev algebras. Zbl 0971.17019
Shestakov, Ivan P.
11
2000
Speciality and deformations of algebras. Zbl 1027.17001
Shestakov, Ivan P.
3
2000
...and 57 more Documents
all top 5

Cited by 851 Authors

78 Shestakov, Ivan Pavlovich
53 Pchelintsev, Sergeĭ Valentinovich
36 Umirbaev, Ualbaĭ Utmakhanbetovich
31 Elduque, Alberto
26 Zhelyabin, Viktor Nikolaevich
25 Zaĭtsev, Mikhail Vladimirovich
25 Zel’manov, Efim Isaakovich
23 Bremner, Murray R.
21 Bahturin, Yuri
21 Hentzel, Irvin Roy
21 Pérez-Izquierdo, José María
20 Shashkov, Oleg Vladimirovich
19 Calderón Martín, Antonio Jesús
18 Martínez López, Consuelo
16 Drensky, Vesselin
16 Kaygorodov, Ivan
16 Koshlukov, Plamen Emilov
16 Yu, Jie-Tai
15 Peresi, Luiz Antonio
15 Repovš, Dušan D.
13 Martín González, Cándido
12 Brešar, Matej
12 Kochetov, Mikhail Viktorovich
12 Kuroda, Shigeru
12 Labra, Alicia
12 Laliena, Jesús A.
12 Petrogradsky, Victor Mikhaylovich
12 Pozhidaev, Aleksandr Petrovich
11 Grishkov, Alexander Nikolaevich
11 Sun, Xiaosong
10 Anquela, José Angel
10 Draper, Cristina
10 Makar-Limanov, Leonid G.
10 Slinko, Arkadii M.
9 Filippov, V. T.
9 Golubkov, Artem Yu.
9 Kanel’-Belov, Alekseĭ Yakovlevich
9 Mikhalëv, Aleksandr Vasil’evich
9 Rodríguez Palacios, Angel
8 Correa, Ivan
8 Cortés, Teresa
8 Giambruno, Antonio
8 Madariaga, Sara
8 Mostovoy, Jacob
8 Sverchkov, Sergei Robertovich
8 Wang, Yu
8 Yasumura, Felipe Yukihide
8 Zhukavets, Natalia
7 Alonso Álvarez, José Nicanor
7 Behboodi, Mahmood
7 Beidar, Konstantin Igorevich
7 Castilho de Mello, Thiago
7 Chen, Yuqun
7 Cho, Ilwoo
7 García González, Esther
7 Goméz Lozano, Miguel Ángel
7 Kashuba, Iryna
7 López-Díaz, María Concepción
7 Maubach, Stefan
7 Medvedev, Yuri A.
7 Popov, Yury
6 Arenas, Manuel J.
6 Benayadi, Saïd
6 Cuenca Mira, José Antonio
6 Edo, Eric
6 Fernández López, Antonio
6 Fernández Vilaboa, José Manuel
6 González Rodríguez, Ramón
6 González, Santos
6 Goodaire, Edgar G.
6 Gordienko, Alekseĭ Sergeevich
6 Gubarev, Vsevolod Yur’evich
6 Guzzo, Henrique jun.
6 Il’tyakov, A. V.
6 Karaś, Marek
6 Kolesnikov, Pavel Sergeevich
6 Martino, Fabrizio
6 McCrimmon, Kevin
6 Mo, Qiuhui
6 Panasenko, Aleksandr Sergeevich
6 Sánchez Delgado, José María
6 Tuganbaev, Askar Akanovich
6 Varro, Richard
6 Zhang, Zerui
6 Zitan, Fouad
5 Agore, Ana-Loredana
5 Behn, Antonio
5 Bokut, Leonid A.
5 Boudi, Nadia
5 Cabrera García, Miguel
5 Ferreira, Bruno Leonardo Macedo
5 Gutiérrez Fernández, Juan Carlos
5 Ioppolo, Antonio
5 Lewis, Drew
5 Li, Yu
5 Markov, Viktor Timofeevich
5 Mikhalëv, Aleksandr Aleksandrovich
5 Militaru, Gigel
5 Mishchenko, Sergeĭ Petrovich
5 Montaner, Fernando
...and 751 more Authors
all top 5

Cited in 179 Serials

199 Journal of Algebra
165 Communications in Algebra
90 Algebra and Logic
67 Siberian Mathematical Journal
46 Linear Algebra and its Applications
42 Journal of Mathematical Sciences (New York)
39 Journal of Algebra and its Applications
35 Journal of Pure and Applied Algebra
32 Mathematical Notes
27 International Journal of Algebra and Computation
21 Proceedings of the American Mathematical Society
18 Advances in Mathematics
17 Linear and Multilinear Algebra
17 Transactions of the American Mathematical Society
13 Algebras and Representation Theory
12 Analysis Mathematica
12 Israel Journal of Mathematics
11 Sibirskie Èlektronnye Matematicheskie Izvestiya
10 Algebra Colloquium
10 São Paulo Journal of Mathematical Sciences
8 Journal of Mathematical Physics
8 Transformation Groups
7 Theoretical and Mathematical Physics
7 Journal of Geometry and Physics
7 Mathematische Zeitschrift
6 Revista Matemática Iberoamericana
6 Communications in Mathematics
5 Journal of Soviet Mathematics
5 Results in Mathematics
4 Bulletin of the Australian Mathematical Society
4 Letters in Mathematical Physics
4 Archiv der Mathematik
4 Journal of Symbolic Computation
4 Izvestiya: Mathematics
4 Doklady Mathematics
4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
4 Boletim da Sociedade Paranaense de Matemática. Terceira Série
4 Mediterranean Journal of Mathematics
4 Frontiers of Mathematics in China
4 Asian-European Journal of Mathematics
4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
3 Acta Mathematica Academiae Scientiarum Hungaricae
3 Nuclear Physics. B
3 Journal of the Mathematical Society of Japan
3 Manuscripta Mathematica
3 Quaestiones Mathematicae
3 Annales Scientifiques de l’Université Blaise Pascal Clermont-Ferrand II. Mathématiques
3 Proceedings of the National Academy of Sciences of the United States of America
3 Bulletin of the American Mathematical Society. New Series
3 Cybernetics and Systems Analysis
3 Russian Mathematics
3 St. Petersburg Mathematical Journal
3 Advances in Applied Clifford Algebras
3 Journal of Lie Theory
3 Sbornik: Mathematics
3 Journal of the European Mathematical Society (JEMS)
3 Communications in Contemporary Mathematics
3 Algebra and Discrete Mathematics
3 Proceedings of the Steklov Institute of Mathematics
3 European Journal of Mathematics
3 Electronic Research Archive
2 Computers & Mathematics with Applications
2 Journal of Mathematical Analysis and Applications
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Moscow University Mathematics Bulletin
2 Rocky Mountain Journal of Mathematics
2 Beiträge zur Algebra und Geometrie
2 Colloquium Mathematicum
2 Czechoslovak Mathematical Journal
2 Geometriae Dedicata
2 Illinois Journal of Mathematics
2 International Journal of Mathematics and Mathematical Sciences
2 Journal für die Reine und Angewandte Mathematik
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Advances in Applied Mathematics
2 Acta Mathematica Hungarica
2 Acta Applicandae Mathematicae
2 Bulletin of the Iranian Mathematical Society
2 Journal of the American Mathematical Society
2 Publicacions Matemàtiques
2 Forum Mathematicum
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Journal of Algebraic Combinatorics
2 Georgian Mathematical Journal
2 Selecta Mathematica. New Series
2 Buletinul Academiei de Științe a Republicii Moldova. Matematica
2 Matematicheskie Trudy
2 Moscow Mathematical Journal
2 Bulletin of the Brazilian Mathematical Society. New Series
2 Chebyshevskiĭ Sbornik
2 Complex Analysis and Operator Theory
2 Bulletin of Mathematical Sciences
2 Axioms
1 Modern Physics Letters A
1 Communications in Mathematical Physics
1 Discrete Applied Mathematics
1 Discrete Mathematics
1 Indian Journal of Pure & Applied Mathematics
...and 79 more Serials
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Cited in 49 Fields

912 Nonassociative rings and algebras (17-XX)
382 Associative rings and algebras (16-XX)
121 Algebraic geometry (14-XX)
106 Group theory and generalizations (20-XX)
84 Commutative algebra (13-XX)
42 Linear and multilinear algebra; matrix theory (15-XX)
37 Category theory; homological algebra (18-XX)
36 Functional analysis (46-XX)
33 General algebraic systems (08-XX)
22 Computer science (68-XX)
18 Quantum theory (81-XX)
17 Differential geometry (53-XX)
15 Combinatorics (05-XX)
15 Topological groups, Lie groups (22-XX)
15 Dynamical systems and ergodic theory (37-XX)
14 Number theory (11-XX)
12 Mathematical logic and foundations (03-XX)
11 Field theory and polynomials (12-XX)
11 Operator theory (47-XX)
9 Partial differential equations (35-XX)
8 Order, lattices, ordered algebraic structures (06-XX)
8 Several complex variables and analytic spaces (32-XX)
8 Harmonic analysis on Euclidean spaces (42-XX)
7 History and biography (01-XX)
6 Approximations and expansions (41-XX)
5 Manifolds and cell complexes (57-XX)
5 Operations research, mathematical programming (90-XX)
4 Numerical analysis (65-XX)
4 Information and communication theory, circuits (94-XX)
3 \(K\)-theory (19-XX)
3 General topology (54-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Biology and other natural sciences (92-XX)
2 Real functions (26-XX)
2 Functions of a complex variable (30-XX)
2 Ordinary differential equations (34-XX)
2 Geometry (51-XX)
2 Probability theory and stochastic processes (60-XX)
1 General and overarching topics; collections (00-XX)
1 Measure and integration (28-XX)
1 Difference and functional equations (39-XX)
1 Abstract harmonic analysis (43-XX)
1 Convex and discrete geometry (52-XX)
1 Algebraic topology (55-XX)
1 Statistics (62-XX)
1 Mechanics of particles and systems (70-XX)
1 Mechanics of deformable solids (74-XX)
1 Relativity and gravitational theory (83-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year

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