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Shestakov, Ivan Pavlovich

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Author ID: shestakov.ivan-p Recent zbMATH articles by "Shestakov, Ivan Pavlovich"
Published as: Shestakov, I. P.; Shestakov, Ivan; Shestakov, Ivan P.; Shestakov, I.
Homepage: https://www.ime.usp.br/~shestak/
External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND
Documents Indexed: 179 Publications since 1971, including 9 Books
Reviewing Activity: 101 Reviews
Biographic References: 2 Publications
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Co-Authors

44 single-authored
10 Zel’manov, Efim Isaakovich
9 Bokut, Leonid A.
8 Slinko, Arkadii M.
8 Umirbaev, Ualbaĭ Utmakhanbetovich
8 Zhukavets, Natalia
7 Pérez-Izquierdo, José María
7 Pozhidaev, Aleksandr Petrovich
6 Kharchenko, Vladislav K.
6 Kuz’min, E. N.
6 López-Díaz, María Concepción
6 Petrogradsky, Victor Mikhaylovich
6 Shirshov, Anatoliĭ Illarionovich
5 Bahturin, Yuri
5 Romanovskii, N. S.
5 Zaĭtsev, Mikhail Vladimirovich
5 Zhelyabin, Viktor Nikolaevich
5 Zhevlakov, K. A.
4 Elduque, Alberto
4 Ershov, Yuriĭ Leonidovich
4 Kashuba, Iryna
4 Makar-Limanov, Leonid G.
4 Martínez López, Consuelo
4 Mostovoy, Jacob
3 Grishkov, Alexander Nikolaevich
3 Kolesnikov, Pavel Sergeevich
3 Latyshev, Viktor Nikolaevich
3 Ovsienko, Sergei A.
3 Pchelintsev, Sergeĭ Valentinovich
3 Remeslennikov, Vladimir Nikanorovich
2 Artamonov, Vyacheslav Aleksandrovich
2 Caicedo, Xavier
2 Filippov, V. T.
2 Futorny, Vyacheslav M.
2 Giraldo, Hernán
2 Gómez-Ambrosi, Carlos
2 Goncharov, Sergeĭ Savost’yanovich
2 Grigorchuk, Rostislav Ivanovich
2 Kac, Victor G.
2 Kargapolov, Mikhail Ivanovich
2 Kolmogorov, Andreĭ Nikolaevich
2 Kornev, Aleksandr Ivanovich
2 Kostrikin, Alekseĭ Ivanovich
2 Mazurov, Viktor Danilovich
2 Mikhalëv, Aleksandr Vasil’evich
2 Mikhalëv, Aleksandr Aleksandrovich
2 Novikov, Sergeĭ Petrovich
2 Ol’shanskiĭ, Aleksandr Yur’evich
2 Parshin, Alexei N.
2 Platonov, Vladimir Petrovich
2 Polikarpov, S. V.
2 Roman’kov, Vitaly Anatol’evich
2 Sobolev, Sergeĭ L’vovich
2 Sverchkov, Sergei Robertovich
2 Taimanov, Iskander Asanovich
2 Zhang, Zerui
1 Alaev, Pavel Evgenievich
1 Andriĭchuk, Vasyl’ Ivanovych
1 Andruskiewitsch, Nicolás
1 Anquela, José Angel
1 Arenas, Manuel
1 Babych, V”yacheslav Mykhaĭlovych
1 Baizhanov, Bektur Sembiuly
1 Bezushchak, Oksana O.
1 Bondarenko, Vitalij M.
1 Brešar, Matej
1 Brzeziński, Tomasz
1 Chatzidakis, Zoé Maria
1 Churkin, Valerii Avdeevich
1 Cortés, Teresa
1 Crode, Sidney Dale
1 Dokuchaev, Mikhailo
1 Drensky, Vesselin
1 Drozd, Yuriĭ Anatoliĭovych
1 Frabetti, Alessandra
1 Ganiushkin, O. G.
1 Gardner, Barry J.
1 Giambruno, Antonio
1 Golod, Evgeniĭ Solomonovich
1 Gómez Pardo, José Luis
1 Gonçalves, Jairo Zacarias
1 González, Santos
1 Gorodnii, M. F.
1 Grechkoseeva, Mariya Aleksandrovna
1 Gubareni, Nadiya M.
1 Gudivok, P. M.
1 Ikemoto Murakami, Lucia
1 Il’tyakov, A. V.
1 Kaĭgorodov, Ivan B.
1 Kal’menov, Tynysbek Sharipovich
1 Kashu, Alekseĭ Ivanovich
1 Kemer, Aleksandr Robertovich
1 Kharlampovich, Olga G.
1 Khisamiev, Nazif Garrifullinovich
1 Khukhro, Evgeniĭ I.
1 Kleinfeld, Erwin
1 Kolyada, Sergiǐ Fedorovych
1 Komarnytsky, M. Ya.
1 Kopytov, Valerij M.
1 Kulpeshov, Beibut Shaiykovich
1 Kurdachenko, Leonid Andriĭovych
...and 77 more Co-Authors
all top 5

Serials

21 Journal of Algebra
18 Algebra and Logic
13 Communications in Algebra
10 Algebra i Logika
5 Doklady Mathematics
5 Algebra and Discrete Mathematics
5 Journal of Algebra and its Applications
4 Russian Mathematical Surveys
4 Journal of Pure and Applied Algebra
4 Siberian Mathematical Journal
4 São Paulo Journal of Mathematical Sciences
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 Advances in Mathematics
2 Journal of the American Mathematical Society
2 Mathematics of the USSR, Sbornik
2 Journal of Lie Theory
2 Nova Journal of Algebra and Geometry
2 Algebras and Representation Theory
1 Israel Journal of Mathematics
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 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 Journal of Mathematical Sciences (New York)
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 Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Fundamental’nye Napravleniya
1 Lecture Notes in Pure and Applied Mathematics
1 Groups, Geometry, and Dynamics
1 Bulletin of Mathematical Sciences
1 Trends in Mathematics

Publications by Year

Citations contained in zbMATH Open

130 Publications have been cited 1,606 times in 1,003 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.
313
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.
140
1978
The tame and the wild automorphisms of polynomial rings in three variables. Zbl 1056.14085
Shestakov, Ivan P.; Umirbaev, Ualbai U.
124
2004
Poisson brackets and two-generated subalgebras of rings of polynomials. Zbl 1044.17014
Shestakov, Ivan P.; Umirbaev, Ualbai U.
62
2004
Gradings on simple Jordan and Lie algebras. Zbl 1066.17018
Bahturin, Y. A.; Shestakov, I. P.; Zaicev, M. V.
51
2005
Prime alternative superalgebras of arbitrary characteristic. Zbl 0904.17025
Shestakov, I. P.
35
1997
An envelope for Malcev algebras. Zbl 1077.17027
Pérez-Izquierdo, José M.; Shestakov, Ivan P.
35
2004
Free Akivis algebras, primitive elements, and hyperalgebras. Zbl 0993.17002
Shestakov, Ivan P.; Umirbaev, Ualbai U.
34
2002
On the Lie structure of the skew elements of a simple superalgebra with superinvolution. Zbl 0916.17007
Gómez-Ambrosi, Carlos; Shestakov, Ivan P.
32
1998
The Nagata automorphism is wild. Zbl 1065.13010
Shestakov, Ivan P.; Umirbaev, Ualbai U.
32
2003
On local finiteness in the sense of Shirshov. Zbl 0289.17001
Zhevlakov, K. A.; Shestakov, I. P.
26
1974
Quantization of Poisson superalgebras and speciality of Jordan Poisson superalgebras. Zbl 0826.17013
Shestakov, I. P.
25
1993
Finite-dimensional non-associative algebras and codimension growth. Zbl 1290.17028
Giambruno, Antonio; Shestakov, Ivan; Zaicev, Mikhail
23
2011
Absolute zero-divisors and radicals of finitely generated alternative algebras. Zbl 0369.17011
Shestakov, I. P.
22
1976
Prime alternative superalgebras and nilpotency of the radical of a free alternative algebra. Zbl 0713.17020
Zel’manov, E. I.; Shestakov, I. P.
19
1990
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.
19
2000
Prime alternative superalgebras and nilpotence of the radical of a free alternative algebra. Zbl 0724.17022
Zel’manov, E. I.; Shestakov, I. P.
17
1991
Jordan superalgebras defined by brackets. Zbl 1043.17018
Martínez, Consuelo; Shestakov, Ivan; Zelmanov, Efim
17
2001
Dniester notebook: unsolved problems in the theory of rings and modules. Zbl 1288.16001
Filippov, V. T.; Kharchenko, V. K.; Shestakov, I. P.
17
2006
Jordan algebras. (Иордановы алгебры.) Zbl 0343.17007
Zhevlakov, K. A.; Slin’ko, A. M.; Shestakov, I. P.; Shirshov, A. I.
16
1976
Every Akivis algebra is linear. Zbl 1043.17002
Shestakov, Ivan P.
15
1999
Simple special Jordan superalgebras with associative even part. Zbl 1059.17021
Zhelyabin, V. N.; Shestakov, I. P.
15
2004
Superalgebras and counterexamples. Zbl 0756.17001
Shestakov, I. P.
14
1991
Radicals and nilpotent elements of free alternative algebras. Zbl 0329.17005
Shestakov, I. P.
14
1975
Polynomial identities of finite dimensional simple algebras. Zbl 1253.17003
Shestakov, Ivan; Zaicev, Mikhail
14
2011
Free Malcev superalgebra on one odd generator. Zbl 1050.17026
Shestakov, Ivan P.
13
2003
Hopf algebras in non-associative Lie theory. Zbl 1393.17001
Mostovoy, J.; Pérez-Izquierdo, J. M.; Shestakov, I. P.
12
2014
Prime \((-1,1)\) and Jordan monsters and superalgebras of vector type. Zbl 1369.17029
Pchelintsev, Sergey V.; Shestakov, Ivan P.
12
2015
On right alternative superalgebras. Zbl 1384.17007
Picanço da Silva, Juaci; Murakami, Lucia S. I.; Shestakov, Ivan
12
2016
Some examples of nil Lie algebras. Zbl 1144.17013
Shestakov, I. P.; Zelmanov, E.
12
2008
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.
11
1990
Polynomial and Poisson dependence in free Poisson algebras and free Poisson fields. Zbl 1259.17021
Makar-Limanov, Leonid; Shestakov, Ivan
11
2012
Irreducible non-Lie modules for Malcev superalgebras. Zbl 0824.17005
Elduque, Alberto; Shestakov, Ivan P.
10
1995
Alternative and Jordan superalgebras. Zbl 0937.17023
Shestakov, I. P.
10
1999
PBW-pairs of varieties of linear algebras. Zbl 1300.17006
Mikhalev, Alexander A.; Shestakov, Ivan P.
10
2014
Gradings of simple Jordan algebras and their relation to the gradings of simple associative algebras. Zbl 1054.17025
Bahturin, Yuri; Shestakov, Ivan
9
2001
Nil graded self-similar algebras. Zbl 1229.17025
Petrogradsky, Victor M.; Shestakov, Ivan P.; Zelmanov, Efim
9
2010
Jordan bimodules over the superalgebras \(P(n)\) and \(Q(n)\). Zbl 1195.17024
Martínez, Consuelo; Shestakov, Ivan; Zelmanov, Efim
9
2010
Non-associative algebra and its applications. Proceedings of the 5th international conference, Oaxtep, Mexico, July 27–August 2, 2003. Zbl 1089.17001
Sabinin, Lev V. (ed.); Sbitneva, Larissa (ed.); Shestakov, Ivan (ed.)
9
2006
Subalgebras and automorphisms of polynomial rings. Zbl 1170.14310
Umirbaev, U. U.; Shestakov, I. P.
9
2002
Finitely generated special Jordan and alternative PI-algebras. Zbl 0524.17008
Shestakov, I. P.
8
1983
Representations of exceptional simple alternative superalgebras of characteristic 3. Zbl 1063.17021
López-Díaz, M. C.; Shestakov, Ivan P.
8
2002
A problem of Shirshov. Zbl 0399.17006
Shestakov, I. P.
8
1977
Examples of self-iterating Lie algebras. II. Zbl 1253.17011
Petrogradsky, V. M.; Shestakov, I. P.
8
2009
Speciality problem for Malcev algebras and Poisson Malcev algebras. Zbl 0971.17019
Shestakov, Ivan P.
8
2000
Finite-dimensional algebras with a nil-basis. Zbl 0224.17001
Shestakov, I. P.
8
1971
The universal multiplicative envelope of the free Malcev superalgebra on one odd generator. Zbl 1138.17015
Shestakov, Ivan; Zhukavets, Natalia
8
2006
Nonassociative structures. Zbl 0713.17001
Kuz’min, E. N.; Shestakov, I. P.
7
1990
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
The free alternative superalgebra on one odd generator. Zbl 1205.17033
Shestakov, Ivan; Zhukavets, Natalia
7
2007
Jordan algebras of dimension three: geometric classification and representation type. Zbl 1232.17044
Kashuba, Iryna; Shestakov, Ivan
7
2007
Quantization of Poisson algebras, and weak speciality of the Jordan superalgebras associated with them. Zbl 0832.17034
Shestakov, I. P.
6
1994
Irreducible unital right alternative bimodules. Zbl 1002.17018
Ikemoto Murakami, Lucia; Shestakov, Ivan
6
2001
Linear representability of Akivis algebras. Zbl 1034.17500
Shestakov, I. P.
6
1999
Chevalley and Kostant theorems for Mal’tsev algebras. Zbl 1164.17025
Zhelyabin, V. N.; Shestakov, I. P.
6
2007
Right representations of algebras. Zbl 0342.17003
Slin’ko, A. M.; Shestakov, I. P.
5
1975
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
Self-similar associative algebras. Zbl 1293.16020
Petrogradsky, V. M.; Shestakov, I. P.
5
2013
Nonassociative affine algebras. Zbl 0760.17001
Polikarpov, S. V.; Shestakov, I. P.
5
1990
Irreducible bimodules over alternative algebras and superalgebras. Zbl 1397.17006
Shestakov, Ivan; Trushina, Maria
5
2016
Speciality of Malcev superalgebras on one odd generator. Zbl 1162.17028
Shestakov, Ivan; Zhukavets, Natalia
5
2006
On properties of the Fibonacci restricted Lie algebra. Zbl 1280.17019
Petrogradsky, V. M.; Shestakov, I. P.
5
2013
Representations of exceptional simple Jordan superalgebras of characteristic 3. Zbl 1069.17011
López-Díaz, M. C.; Shestakov, Ivan P.
5
2005
Prime Mal’tsev superalgebras. Zbl 0742.17007
Shestakov, I. P.
4
1991
Superalgebras and counterexamples. Zbl 0777.17004
Shestakov, I. P.
4
1991
Prime Mal’tsev superalgebras. Zbl 0774.17007
Shestakov, I. P.
4
1993
Generalizations of Lie algebras. Zbl 1263.17006
Kharchenko, V. K.; Shestakov, I. P.
4
2012
Representation type of Jordan algebras. Zbl 1219.17022
Kashuba, Iryna; Ovsienko, Serge; Shestakov, Ivan
4
2011
Nilpotent Sabinin algebras. Zbl 1362.17007
Mostovoy, J.; Pérez-Izquierdo, J. M.; Shestakov, I. P.
4
2014
Invariants of \(\mathrm G_2\) and Spin(7) in positive characteristic. Zbl 1396.14042
Zubkov, A. N.; Shestakov, I. P.
4
2018
Free generic Poisson fields and algebras. Zbl 1434.17027
Kaygorodov, Ivan; Shestakov, Ivan; Umirbaev, Ualbai
4
2018
Speciality of Lie-Jordan algebras. Zbl 0988.17026
Grishkov, A. N.; Shestakov, Ivan P.
4
2001
Moufang loops and alternative algebras. Zbl 1038.17024
Shestakov, Ivan P.
4
2004
Skew-symmetric identities of octonions. Zbl 1241.17033
Shestakov, Ivan; Zhukavets, Natalia
4
2009
A non-associative Baker-Campbell-Hausdorff formula. Zbl 1428.17002
Mostovoy, J.; Pérez-Izquierdo, J. M.; Shestakov, I. P.
3
2017
Nonassociative affine algebras. Zbl 0786.17002
Polikarpov, S. V.; Shestakov, I. P.
3
1990
Finitely generated special Jordan algebras and alternative PI-algebras. Zbl 0549.17013
Shestakov, I. P.
3
1985
Non-associative structures. Zbl 0826.17001
Kuz’min, E. N.; Shestakov, I. P.
3
1990
On invariants of \(F_ 4\) and the center of the Albert algebra. Zbl 0851.17033
Iltyakov, A. V.; Shestakov, I. P.
3
1996
Quantization of Poisson superalgebras and speciality of Jordan Poisson superalgebras. Zbl 0826.17012
Shestakov, Ivan
3
1994
Automorphic equivalence of the representations of Lie algebras. Zbl 1358.17010
Shestakov, I.; Tsurkov, A.
3
2013
Representations of alternative algebras and superalgebras. Zbl 1279.17006
Trushina, M. N.; Shestakov, I. P.
3
2012
Jordan gradings on associative algebras. Zbl 1237.16040
Bahturin, Yuri; Brešar, Matej; Shestakov, Ivan
3
2011
The Freiheitssatz for generic Poisson algebras. Zbl 1346.17003
Kolesnikov, Pavel S.; Makar-Limanov, Leonid G.; Shestakov, Ivan P.
3
2014
On speciality of Jordan brackets. Zbl 1185.17024
Shestakov, Ivan
3
2009
Irreductible representations of the simple Jordan superalgebra of Grassmann Poisson bracket. Zbl 1344.17026
Solarte, Olmer Folleco; Shestakov, Ivan
3
2016
Finite-dimensional algebras with a nil-basis. Zbl 0233.17001
Shestakov, I. P.
3
1972
Certain classes of noncommutative Jordan rings. Zbl 0259.17001
Shestakov, I. P.
3
1973
Group gradings on associative superalgebras. Zbl 1154.16305
Bahturin, Y. A.; Shestakov, I. P.
3
2006
Simple finite-dimensional noncommutative Jordan superalgebras of characteristic 0. Zbl 1276.17017
Pozhidaev, A. P.; Shestakov, I. P.
3
2013
On associative algebras satisfying the identity \(x^5=0\). Zbl 1067.16044
Shestakov, Ivan; Zhukavets, Natalia
3
2004
A characterization of Lie algebras of skew-symmetric elements. Zbl 1109.17011
Grishkov, A. N.; Shestakov, I. P.
3
2005
Commutative Moufang loops and alternative algebras. Zbl 1243.20076
Grishkov, Alexander N.; Shestakov, Ivan P.
3
2011
Solvable alternative algebras. Zbl 0714.17023
Shestakov, I. P.
2
1989
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
Nonassociative rings. Zbl 0486.17001
Bakhturin, Yu. A.; Slin’ko, A. M.; Shestakov, I. P.
2
1981
Alternative algebras with identity \([x,y]^n=0\). Zbl 0499.17013
Shestakov, I. P.
2
1982
Prime non-Lie modules for Malcev superalgebras. Zbl 0824.17003
Shestakov, I. P.; Elduque, A.
2
1994
On Jordan doubles of slow growth of Lie superalgebras. Zbl 1437.17011
Petrogradsky, Victor; Shestakov, I. P.
1
2019
Invariants of \(\mathrm G_2\) and Spin(7) in positive characteristic. Zbl 1396.14042
Zubkov, A. N.; Shestakov, I. P.
4
2018
Free generic Poisson fields and algebras. Zbl 1434.17027
Kaygorodov, Ivan; Shestakov, Ivan; Umirbaev, Ualbai
4
2018
On associative representations of non-associative algebras. Zbl 1422.17028
Kornev, A. I.; Shestakov, I. P.
2
2018
A non-associative Baker-Campbell-Hausdorff formula. Zbl 1428.17002
Mostovoy, J.; Pérez-Izquierdo, J. M.; Shestakov, I. P.
3
2017
Constants of partial derivations and primitive operations. Zbl 1422.08001
Pchelintsev, S. V.; Shestakov, I. P.
2
2017
On right alternative superalgebras. Zbl 1384.17007
Picanço da Silva, Juaci; Murakami, Lucia S. I.; Shestakov, Ivan
12
2016
Irreducible bimodules over alternative algebras and superalgebras. Zbl 1397.17006
Shestakov, Ivan; Trushina, Maria
5
2016
Irreductible representations of the simple Jordan superalgebra of Grassmann Poisson bracket. Zbl 1344.17026
Solarte, Olmer Folleco; Shestakov, Ivan
3
2016
On commuting \(U\)-operators in Jordan algebras. Zbl 1378.17048
Shestakov, Ivan
1
2016
Prime \((-1,1)\) and Jordan monsters and superalgebras of vector type. Zbl 1369.17029
Pchelintsev, Sergey V.; Shestakov, Ivan P.
12
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.
1
2015
Hopf algebras in non-associative Lie theory. Zbl 1393.17001
Mostovoy, J.; Pérez-Izquierdo, J. M.; Shestakov, I. P.
12
2014
PBW-pairs of varieties of linear algebras. Zbl 1300.17006
Mikhalev, Alexander A.; Shestakov, Ivan P.
10
2014
Nilpotent Sabinin algebras. Zbl 1362.17007
Mostovoy, J.; Pérez-Izquierdo, J. M.; Shestakov, I. P.
4
2014
The Freiheitssatz for generic Poisson algebras. Zbl 1346.17003
Kolesnikov, Pavel S.; Makar-Limanov, Leonid G.; Shestakov, Ivan P.
3
2014
Self-similar associative algebras. Zbl 1293.16020
Petrogradsky, V. M.; Shestakov, I. P.
5
2013
On properties of the Fibonacci restricted Lie algebra. Zbl 1280.17019
Petrogradsky, V. M.; Shestakov, I. P.
5
2013
Automorphic equivalence of the representations of Lie algebras. Zbl 1358.17010
Shestakov, I.; Tsurkov, A.
3
2013
Simple finite-dimensional noncommutative Jordan superalgebras of characteristic 0. Zbl 1276.17017
Pozhidaev, A. P.; Shestakov, I. P.
3
2013
Associative nil-algebras over finite fields. Zbl 1298.16011
Lopatin, Artem A.; Shestakov, Ivan P.
2
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.
1
2013
Polynomial and Poisson dependence in free Poisson algebras and free Poisson fields. Zbl 1259.17021
Makar-Limanov, Leonid; Shestakov, Ivan
11
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.
3
2012
Finite-dimensional non-associative algebras and codimension growth. Zbl 1290.17028
Giambruno, Antonio; Shestakov, Ivan; Zaicev, Mikhail
23
2011
Polynomial identities of finite dimensional simple algebras. Zbl 1253.17003
Shestakov, Ivan; Zaicev, Mikhail
14
2011
Representation type of Jordan algebras. Zbl 1219.17022
Kashuba, Iryna; Ovsienko, Serge; Shestakov, Ivan
4
2011
Jordan gradings on associative algebras. Zbl 1237.16040
Bahturin, Yuri; Brešar, Matej; Shestakov, Ivan
3
2011
Commutative Moufang loops and alternative algebras. Zbl 1243.20076
Grishkov, Alexander N.; Shestakov, Ivan P.
3
2011
On speciality of binary-Lie algebras. Zbl 1242.17028
Arenas, Manuel; Shestakov, Ivan
1
2011
Nil graded self-similar algebras. Zbl 1229.17025
Petrogradsky, Victor M.; Shestakov, Ivan P.; Zelmanov, Efim
9
2010
Jordan bimodules over the superalgebras \(P(n)\) and \(Q(n)\). Zbl 1195.17024
Martínez, Consuelo; Shestakov, Ivan; Zelmanov, Efim
9
2010
Structurable superalgebras of Cartan type. Zbl 1238.17004
Pozhidaev, A. P.; Shestakov, I. P.
2
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.
2
2010
Structurable superalgebras of Cartan type. Zbl 1201.17013
Pozhidaev, Alexander P.; Shestakov, Ivan P.
2
2010
Noncommutative Jordan superalgebras of degree \(n \geq 2\). Zbl 1219.17001
Pozhidaev, A. P.; Shestakov, I. P.
1
2010
Examples of self-iterating Lie algebras. II. Zbl 1253.17011
Petrogradsky, V. M.; Shestakov, I. P.
8
2009
Skew-symmetric identities of octonions. Zbl 1241.17033
Shestakov, Ivan; Zhukavets, Natalia
4
2009
On speciality of Jordan brackets. Zbl 1185.17024
Shestakov, Ivan
3
2009
Some examples of nil Lie algebras. Zbl 1144.17013
Shestakov, I. P.; Zelmanov, E.
12
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.
2
2008
The free alternative superalgebra on one odd generator. Zbl 1205.17033
Shestakov, Ivan; Zhukavets, Natalia
7
2007
Jordan algebras of dimension three: geometric classification and representation type. Zbl 1232.17044
Kashuba, Iryna; Shestakov, Ivan
7
2007
Chevalley and Kostant theorems for Mal’tsev algebras. Zbl 1164.17025
Zhelyabin, V. N.; Shestakov, I. P.
6
2007
Dniester notebook: unsolved problems in the theory of rings and modules. Zbl 1288.16001
Filippov, V. T.; Kharchenko, V. K.; Shestakov, I. P.
17
2006
Non-associative algebra and its applications. Proceedings of the 5th international conference, Oaxtep, Mexico, July 27–August 2, 2003. Zbl 1089.17001
Sabinin, Lev V.; Sbitneva, Larissa; Shestakov, Ivan
9
2006
The universal multiplicative envelope of the free Malcev superalgebra on one odd generator. Zbl 1138.17015
Shestakov, Ivan; Zhukavets, Natalia
8
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
5
2006
Group gradings on associative superalgebras. Zbl 1154.16305
Bahturin, Y. A.; Shestakov, I. P.
3
2006
Gradings on simple Jordan and Lie algebras. Zbl 1066.17018
Bahturin, Y. A.; Shestakov, I. P.; Zaicev, M. V.
51
2005
Representations of exceptional simple Jordan superalgebras of characteristic 3. Zbl 1069.17011
López-Díaz, M. C.; Shestakov, Ivan P.
5
2005
A characterization of Lie algebras of skew-symmetric elements. Zbl 1109.17011
Grishkov, A. N.; Shestakov, I. P.
3
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.
124
2004
Poisson brackets and two-generated subalgebras of rings of polynomials. Zbl 1044.17014
Shestakov, Ivan P.; Umirbaev, Ualbai U.
62
2004
An envelope for Malcev algebras. Zbl 1077.17027
Pérez-Izquierdo, José M.; Shestakov, Ivan P.
35
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.
4
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.
32
2003
Free Malcev superalgebra on one odd generator. Zbl 1050.17026
Shestakov, Ivan P.
13
2003
Free Akivis algebras, primitive elements, and hyperalgebras. Zbl 0993.17002
Shestakov, Ivan P.; Umirbaev, Ualbai U.
34
2002
Subalgebras and automorphisms of polynomial rings. Zbl 1170.14310
Umirbaev, U. U.; Shestakov, I. P.
9
2002
Representations of exceptional simple alternative superalgebras of characteristic 3. Zbl 1063.17021
López-Díaz, M. C.; Shestakov, Ivan P.
8
2002
Jordan superalgebras defined by brackets. Zbl 1043.17018
Martínez, Consuelo; Shestakov, Ivan; Zelmanov, Efim
17
2001
Gradings of simple Jordan algebras and their relation to the gradings of simple associative algebras. Zbl 1054.17025
Bahturin, Yuri; Shestakov, Ivan
9
2001
Irreducible unital right alternative bimodules. Zbl 1002.17018
Ikemoto Murakami, Lucia; Shestakov, Ivan
6
2001
Speciality of Lie-Jordan algebras. Zbl 0988.17026
Grishkov, A. N.; Shestakov, Ivan P.
4
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.
19
2000
Speciality problem for Malcev algebras and Poisson Malcev algebras. Zbl 0971.17019
Shestakov, Ivan P.
8
2000
Speciality and deformations of algebras. Zbl 1027.17001
Shestakov, Ivan P.
2
2000
Every Akivis algebra is linear. Zbl 1043.17002
Shestakov, Ivan P.
15
1999
Alternative and Jordan superalgebras. Zbl 0937.17023
Shestakov, I. P.
10
1999
Linear representability of Akivis algebras. Zbl 1034.17500
Shestakov, I. P.
6
1999
Bernstein superalgebras and supermodules. Zbl 0987.17017
González, S.; López-Díaz, M. C.; Martínez, C.; Shestakov, Ivan P.
1
1999
On the Lie structure of the skew elements of a simple superalgebra with superinvolution. Zbl 0916.17007
Gómez-Ambrosi, Carlos; Shestakov, Ivan P.
32
1998
Simple \((-1,1)\)-superalgebras. Zbl 0913.17003
Shestakov, I. P.
7
1998
Prime alternative superalgebras of arbitrary characteristic. Zbl 0904.17025
Shestakov, I. P.
35
1997
Alternative and Jordan superalgebras. Zbl 0902.17017
Shestakov, I. P.
2
1997
On invariants of \(F_ 4\) and the center of the Albert algebra. Zbl 0851.17033
Iltyakov, A. V.; Shestakov, I. P.
3
1996
Irreducible non-Lie modules for Malcev superalgebras. Zbl 0824.17005
Elduque, Alberto; Shestakov, Ivan P.
10
1995
Some results by A. I. Shirshov and his school. Zbl 0841.16002
Bokut’, L. A.; Shestakov, I. P.
2
1995
Quantization of Poisson algebras, and weak speciality of the Jordan superalgebras associated with them. Zbl 0832.17034
Shestakov, I. P.
6
1994
Quantization of Poisson superalgebras and speciality of Jordan Poisson superalgebras. Zbl 0826.17012
Shestakov, Ivan
3
1994
Prime non-Lie modules for Malcev superalgebras. Zbl 0824.17003
Shestakov, I. P.; Elduque, A.
2
1994
Quantization of Poisson superalgebras and speciality of Jordan Poisson superalgebras. Zbl 0826.17013
Shestakov, I. P.
25
1993
Prime Mal’tsev superalgebras. Zbl 0774.17007
Shestakov, I. P.
4
1993
On Malcev superalgebras with trivial Lie nucleus. Zbl 0867.17028
Elduque, Alberto; Shestakov, Ivan P.
2
1993
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
Filippov, V. T.; Kharchenko, V. K.; Shestakov, I. P.
1
1993
Superalgebras as a building material for constructing counterexamples. Zbl 0789.17003
Shestakov, I. P.
1
1992
Prime alternative superalgebras and nilpotence of the radical of a free alternative algebra. Zbl 0724.17022
Zel’manov, E. I.; Shestakov, I. P.
17
1991
Superalgebras and counterexamples. Zbl 0756.17001
Shestakov, I. P.
14
1991
Prime Mal’tsev superalgebras. Zbl 0742.17007
Shestakov, I. P.
4
1991
Superalgebras and counterexamples. Zbl 0777.17004
Shestakov, I. P.
4
1991
Prime alternative superalgebras and nilpotency of the radical of a free alternative algebra. Zbl 0713.17020
Zel’manov, E. I.; Shestakov, I. P.
19
1990
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.
11
1990
...and 30 more Documents
all top 5

Cited by 699 Authors

72 Shestakov, Ivan Pavlovich
44 Pchelintsev, Sergeĭ Valentinovich
29 Elduque, Alberto
27 Umirbaev, Ualbaĭ Utmakhanbetovich
23 Zaĭtsev, Mikhail Vladimirovich
23 Zel’manov, Efim Isaakovich
21 Bremner, Murray R.
21 Pérez-Izquierdo, José María
21 Zhelyabin, Viktor Nikolaevich
19 Hentzel, Irvin Roy
18 Bahturin, Yuri
17 Martínez López, Consuelo
16 Calderón Martín, Antonio Jesús
16 Shashkov, Oleg Vladimirovich
16 Yu, Jie-Tai
15 Drensky, Vesselin
14 Koshlukov, Plamen Emilov
14 Peresi, Luiz Antonio
14 Repovš, Dušan D.
12 Laliena, Jesús A.
12 Martín González, Cándido
11 Brešar, Matej
11 Kaĭgorodov, Ivan B.
11 Kochetov, Mikhail Viktorovich
11 Kuroda, Shigeru
10 Anquela, José Angel
10 Labra, Alicia
10 Makar-Limanov, Leonid G.
10 Slinko, Arkadii M.
10 Sun, Xiaosong
9 Draper, Cristina
9 Filippov, V. T.
9 Mikhalëv, Aleksandr Vasil’evich
8 Cortés, Teresa
8 Giambruno, Antonio
8 Kanel’-Belov, Alekseĭ Yakovlevich
8 Madariaga, Sara
8 Mostovoy, Jacob
8 Petrogradsky, Victor Mikhaylovich
8 Sverchkov, Sergei Robertovich
8 Zhukavets, Natalia
7 Beidar, Konstantin Igorevich
7 Grishkov, Alexander Nikolaevich
7 Kashuba, Iryna
7 López-Díaz, María Concepción
7 Maubach, Stefan
7 Medvedev, Yuri A.
7 Rodríguez Palacios, Angel
7 Yasumura, Felipe Yukihide
6 Alonso Álvarez, José Nicanor
6 Correa, Ivan
6 Cuenca Mira, José Antonio
6 Edo, Eric
6 Fernández López, Antonio
6 Goodaire, Edgar G.
6 Guzzo, Henrique jun.
6 Il’tyakov, A. V.
6 McCrimmon, Kevin
6 Mishchenko, Sergeĭ Petrovich
6 Mo, Qiuhui
6 Pozhidaev, Aleksandr Petrovich
6 Tuganbaev, Askar Akanovich
6 Varro, Richard
6 Wang, Yu
5 Arenas, Manuel
5 Benayadi, Saïd
5 Bokut, Leonid A.
5 Fernández Vilaboa, José Manuel
5 Golubkov, Artem Yu.
5 González Rodríguez, Ramón
5 González, Santos
5 Gordienko, Alekseĭ Sergeevich
5 Gubarev, Vsevolod Yur’evich
5 Li, Yu
5 Markov, Viktor T.
5 Montaner, Fernando
5 Myung, Hyo Chul
5 Ouattara, Moussa
5 Popov, Yury
5 Skosyrskiĭ, Vladimir Grigor’evich
5 Suazo, Avelino
5 Zakharov, Anton Stanislavovich
5 Zitan, Fouad
4 Albuquerque, Helena
4 Aranda Orna, Diego
4 Behboodi, Mahmood
4 Behn, Antonio
4 Benito, Pilar
4 Boudi, Nadia
4 Cabrera García, Miguel
4 Chen, Yuqun
4 Di Vincenzo, Onofrio Mario
4 García González, Esther
4 Goméz Lozano, Miguel Ángel
4 Goncharov, Maksim E.
4 Ioppolo, Antonio
4 Isaev, Ismail Musaevich
4 Kaidi, El Amin Mokhtar
4 Kislitsin, A. V.
4 Kolesnikov, Pavel Sergeevich
...and 599 more Authors
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Cited in 139 Serials

179 Journal of Algebra
153 Communications in Algebra
83 Algebra and Logic
60 Siberian Mathematical Journal
37 Linear Algebra and its Applications
32 Journal of Mathematical Sciences (New York)
31 Journal of Pure and Applied Algebra
29 Mathematical Notes
27 Journal of Algebra and its Applications
20 International Journal of Algebra and Computation
19 Proceedings of the American Mathematical Society
16 Advances in Mathematics
15 Transactions of the American Mathematical Society
13 Analysis Mathematica
13 Algebras and Representation Theory
10 Algebra Colloquium
10 Sibirskie Èlektronnye Matematicheskie Izvestiya
9 Israel Journal of Mathematics
9 Linear and Multilinear Algebra
8 Transformation Groups
7 São Paulo Journal of Mathematical Sciences
6 Journal of Mathematical Physics
6 Theoretical and Mathematical Physics
6 Mathematische Zeitschrift
5 Journal of Soviet Mathematics
4 Journal of Geometry and Physics
4 Journal of Symbolic Computation
4 Revista Matemática Iberoamericana
4 Izvestiya: Mathematics
4 Doklady Mathematics
4 Mediterranean Journal of Mathematics
3 Acta Mathematica Academiae Scientiarum Hungaricae
3 Bulletin of the Australian Mathematical Society
3 Letters in Mathematical Physics
3 Nuclear Physics. B
3 Archiv der Mathematik
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 Russian Mathematics
3 St. Petersburg Mathematical Journal
3 Journal of Lie Theory
3 Journal of the European Mathematical Society (JEMS)
3 Communications in Contemporary Mathematics
3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3 Proceedings of the Steklov Institute of Mathematics
3 Frontiers of Mathematics in China
3 Asian-European Journal of Mathematics
2 Computers & Mathematics with Applications
2 Moscow University Mathematics Bulletin
2 Beiträge zur Algebra und Geometrie
2 Geometriae Dedicata
2 Journal für die Reine und Angewandte Mathematik
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Results in Mathematics
2 Advances in Applied Mathematics
2 Acta Mathematica Hungarica
2 Acta Applicandae Mathematicae
2 Journal of the American Mathematical Society
2 Forum Mathematicum
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Advances in Applied Clifford Algebras
2 Selecta Mathematica. New Series
2 Sbornik: Mathematics
2 Boletim da Sociedade Paranaense de Matemática. Terceira Série
2 Axioms
2 Electronic Research Archive
1 Modern Physics Letters A
1 Communications in Mathematical Physics
1 Discrete Applied Mathematics
1 Discrete Mathematics
1 Indian Journal of Pure & Applied Mathematics
1 Information Processing Letters
1 Rocky Mountain Journal of Mathematics
1 Russian Mathematical Surveys
1 Arkiv för Matematik
1 Annales de l’Institut Fourier
1 Colloquium Mathematicum
1 Czechoslovak Mathematical Journal
1 Demonstratio Mathematica
1 Duke Mathematical Journal
1 Glasgow Mathematical Journal
1 Illinois Journal of Mathematics
1 International Journal of Mathematics and Mathematical Sciences
1 Inventiones Mathematicae
1 Journal of Geometry
1 Journal of the Korean Mathematical Society
1 Mathematische Annalen
1 Michigan Mathematical Journal
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Semigroup Forum
1 Tohoku Mathematical Journal. Second Series
1 Bulletin of the Iranian Mathematical Society
1 Physica D
1 Journal of Automated Reasoning
1 Publicacions Matemàtiques
...and 39 more Serials
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Cited in 46 Fields

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

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