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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.; 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: 183 Publications since 1971, including 5 Books
8 Contributions as Editor
Reviewing Activity: 101 Reviews
Biographic References: 2 Publications
Co-Authors: 215 Co-Authors with 140 Joint Publications
4,108 Co-Co-Authors
all top 5

Co-Authors

45 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 Martínez López, Consuelo
5 Romanovskii, N. S.
5 Zhelyabin, Viktor Nikolaevich
5 Zhevlakov, K. A.
4 Artamonov, Vyacheslav Aleksandrovich
4 Elduque, Alberto
4 Grishkov, Alexander Nikolaevich
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
4 Pchelintsev, Sergeĭ Valentinovich
3 Kolesnikov, Pavel Sergeevich
3 Mikhalëv, Aleksandr Aleksandrovich
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 G.
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 Mazurov, Viktor Danilovich
2 Murakami, Lucia S. I.
2 Parshin, Alexei N.
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 Taimanov, 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 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 Gardner, Barry J.
1 Giambruno, Antonio
1 Glavatskiĭ, Sergeĭ Timofeevich
1 Golod, Evgeniĭ Solomonovich
1 Golubchik, Igor Z.
1 Gómez Pardo, José Luis
1 Gonçalves, Jairo Zacarias
...and 119 more Co-Authors
all top 5

Serials

23 Journal of Algebra
20 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 Groups, Geometry, and Dynamics
1 Bulletin of Mathematical Sciences
1 Trends in Mathematics
1 Contemporary Mathematicians

Publications by Year

Citations contained in zbMATH Open

153 Publications have been cited 1,849 times in 1,097 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.
328
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.
143
1978
The tame and the wild automorphisms of polynomial rings in three variables. Zbl 1056.14085
Shestakov, Ivan P.; Umirbaev, Ualbai U.
136
2004
Poisson brackets and two-generated subalgebras of rings of polynomials. Zbl 1044.17014
Shestakov, Ivan P.; Umirbaev, Ualbai U.
66
2004
Gradings on simple Jordan and Lie algebras. Zbl 1066.17018
Bahturin, Y. A.; Shestakov, I. P.; Zaicev, M. V.
60
2005
An envelope for Malcev algebras. Zbl 1077.17027
Pérez-Izquierdo, José M.; Shestakov, Ivan P.
39
2004
Free Akivis algebras, primitive elements, and hyperalgebras. Zbl 0993.17002
Shestakov, Ivan P.; Umirbaev, Ualbai U.
38
2002
The Nagata automorphism is wild. Zbl 1065.13010
Shestakov, Ivan P.; Umirbaev, Ualbai U.
37
2003
Prime alternative superalgebras of arbitrary characteristic. Zbl 0904.17025
Shestakov, I. P.
37
1997
On the Lie structure of the skew elements of a simple superalgebra with superinvolution. Zbl 0916.17007
Gómez-Ambrosi, Carlos; Shestakov, Ivan P.
35
1998
Quantization of Poisson superalgebras and speciality of Jordan Poisson superalgebras. Zbl 0826.17013
Shestakov, I. P.
29
1993
On local finiteness in the sense of Shirshov. Zbl 0289.17001
Zhevlakov, K. A.; Shestakov, I. P.
28
1974
Finite-dimensional non-associative algebras and codimension growth. Zbl 1290.17028
Giambruno, Antonio; Shestakov, Ivan; Zaicev, Mikhail
27
2011
Absolute zero-divisors and radicals of finitely generated alternative algebras. Zbl 0369.17011
Shestakov, I. P.
22
1976
Dniester notebook: unsolved problems in the theory of rings and modules. Zbl 1288.16001
Filippov, V. T.; Kharchenko, V. K.; Shestakov, I. P.
22
2006
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
Prime alternative superalgebras and nilpotency of the radical of a free alternative algebra. Zbl 0713.17020
Zel’manov, E. I.; Shestakov, I. P.
20
1990
Every Akivis algebra is linear. Zbl 1043.17002
Shestakov, Ivan P.
19
1999
Jordan algebras. (Иордановы алгебры.) Zbl 0343.17007
Zhevlakov, K. A.; Slin’ko, A. M.; Shestakov, I. P.; Shirshov, A. I.
19
1976
Jordan superalgebras defined by brackets. Zbl 1043.17018
Martínez, Consuelo; Shestakov, Ivan; Zelmanov, Efim
18
2001
Prime alternative superalgebras and nilpotence of the radical of a free alternative algebra. Zbl 0724.17022
Zel’manov, E. I.; Shestakov, I. P.
18
1991
Polynomial and Poisson dependence in free Poisson algebras and free Poisson fields. Zbl 1259.17021
Makar-Limanov, Leonid; Shestakov, Ivan
16
2012
Simple special Jordan superalgebras with associative even part. Zbl 1059.17021
Zhelyabin, V. N.; Shestakov, I. P.
15
2004
Polynomial identities of finite dimensional simple algebras. Zbl 1253.17003
Shestakov, Ivan; Zaicev, Mikhail
15
2011
Superalgebras and counterexamples. Zbl 0756.17001
Shestakov, I. P.
15
1991
Some examples of nil Lie algebras. Zbl 1144.17013
Shestakov, I. P.; Zelmanov, E.
15
2008
Free Malcev superalgebra on one odd generator. Zbl 1050.17026
Shestakov, Ivan P.
14
2003
PBW-pairs of varieties of linear algebras. Zbl 1300.17006
Mikhalev, Alexander A.; Shestakov, Ivan P.
14
2014
Hopf algebras in non-associative Lie theory. Zbl 1393.17001
Mostovoy, J.; Pérez-Izquierdo, J. M.; Shestakov, I. P.
14
2014
Radicals and nilpotent elements of free alternative algebras. Zbl 0329.17005
Shestakov, I. P.
14
1975
Nil graded self-similar algebras. Zbl 1229.17025
Petrogradsky, Victor M.; Shestakov, Ivan P.; Zelmanov, Efim
13
2010
Prime \((-1,1)\) and Jordan monsters and superalgebras of vector type. Zbl 1369.17029
Pchelintsev, Sergey V.; Shestakov, Ivan P.
13
2015
On right alternative superalgebras. Zbl 1384.17007
Picanço da Silva, Juaci; Murakami, Lucia S. I.; Shestakov, Ivan
13
2016
Jordan bimodules over the superalgebras \(P(n)\) and \(Q(n)\). Zbl 1195.17024
Martínez, Consuelo; Shestakov, Ivan; Zelmanov, Efim
13
2010
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
Alternative and Jordan superalgebras. Zbl 0937.17023
Shestakov, I. P.
12
1999
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.
12
1990
Free generic Poisson fields and algebras. Zbl 1434.17027
Kaygorodov, Ivan; Shestakov, Ivan; Umirbaev, Ualbai
11
2018
Examples of self-iterating Lie algebras. II. Zbl 1253.17011
Petrogradsky, V. M.; Shestakov, I. P.
11
2009
Irreducible bimodules over alternative algebras and superalgebras. Zbl 1397.17006
Shestakov, Ivan; Trushina, Maria
10
2016
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
Subalgebras and automorphisms of polynomial rings. Zbl 1170.14310
Umirbaev, U. U.; Shestakov, I. P.
10
2002
Jordan algebras of dimension three: geometric classification and representation type. Zbl 1232.17044
Kashuba, Iryna; Shestakov, Ivan
10
2007
Non-associative algebra and its applications. Proceedings of the 5th international conference, Oaxtep, Mexico, July 27–August 2, 2003. Zbl 1089.17001
9
2006
The universal multiplicative envelope of the free Malcev superalgebra on one odd generator. Zbl 1138.17015
Shestakov, Ivan; Zhukavets, Natalia
9
2006
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.
9
2009
A problem of Shirshov. Zbl 0399.17006
Shestakov, I. P.
9
1977
Representations of exceptional simple Jordan superalgebras of characteristic 3. Zbl 1069.17011
López-Díaz, M. C.; Shestakov, Ivan P.
8
2005
Speciality problem for Malcev algebras and Poisson Malcev algebras. Zbl 0971.17019
Shestakov, Ivan P.
8
2000
Finitely generated special Jordan and alternative PI-algebras. Zbl 0524.17008
Shestakov, I. P.
8
1983
The free alternative superalgebra on one odd generator. Zbl 1205.17033
Shestakov, Ivan; Zhukavets, Natalia
8
2007
Finite-dimensional algebras with a nil-basis. Zbl 0224.17001
Shestakov, I. P.
8
1971
Moufang loops and alternative algebras. Zbl 1038.17024
Shestakov, Ivan P.
7
2004
Self-similar associative algebras. Zbl 1293.16020
Petrogradsky, V. M.; Shestakov, I. P.
7
2013
Simple \((-1,1)\)-superalgebras. Zbl 0913.17003
Shestakov, I. P.
7
1998
Nonassociative structures. Zbl 0713.17001
Kuz’min, E. N.; Shestakov, I. P.
7
1990
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
On properties of the Fibonacci restricted Lie algebra. Zbl 1280.17019
Petrogradsky, V. M.; Shestakov, I. P.
7
2013
Linear representability of Akivis algebras. Zbl 1034.17500
Shestakov, I. P.
6
1999
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
The Freiheitssatz for generic Poisson algebras. Zbl 1346.17003
Kolesnikov, Pavel S.; Makar-Limanov, Leonid G.; Shestakov, Ivan P.
6
2014
Speciality of Malcev superalgebras on one odd generator. Zbl 1162.17028
Shestakov, Ivan; Zhukavets, Natalia
6
2006
Nilpotent Sabinin algebras. Zbl 1362.17007
Mostovoy, J.; Pérez-Izquierdo, J. M.; Shestakov, I. P.
6
2014
Right representations of algebras. Zbl 0342.17003
Slin’ko, A. M.; Shestakov, I. P.
6
1975
Automorphic equivalence of the representations of Lie algebras. Zbl 1358.17010
Shestakov, I.; Tsurkov, A.
6
2013
Superalgebras and counterexamples. Zbl 0777.17004
Shestakov, I. P.
5
1991
Commutative Moufang loops and alternative algebras. Zbl 1243.20076
Grishkov, Alexander N.; Shestakov, Ivan P.
5
2011
Representation type of Jordan algebras. Zbl 1219.17022
Kashuba, Iryna; Ovsienko, Serge; Shestakov, Ivan
5
2011
Nonassociative affine algebras. Zbl 0760.17001
Polikarpov, S. V.; Shestakov, I. P.
5
1990
Prime Mal’tsev superalgebras. Zbl 0742.17007
Shestakov, I. P.
5
1991
Simple finite-dimensional noncommutative Jordan superalgebras of characteristic 0. Zbl 1276.17017
Pozhidaev, A. P.; Shestakov, I. P.
5
2013
Skew-symmetric identities of octonions. Zbl 1241.17033
Shestakov, Ivan; Zhukavets, Natalia
5
2009
A non-associative Baker-Campbell-Hausdorff formula. Zbl 1428.17002
Mostovoy, J.; Pérez-Izquierdo, J. M.; Shestakov, I. P.
5
2017
Invariants of \(\mathrm G_2\) and Spin(7) in positive characteristic. Zbl 1396.14042
Zubkov, A. N.; Shestakov, I. P.
5
2018
Irreductible representations of the simple Jordan superalgebra of Grassmann Poisson bracket. Zbl 1344.17026
Solarte, Olmer Folleco; Shestakov, Ivan
5
2016
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
Simple finite-dimensional modular noncommutative Jordan superalgebras. Zbl 1472.17003
Pozhidaev, A. P.; Shestakov, I. P.
5
2019
Nonassociative affine algebras. Zbl 0786.17002
Polikarpov, S. V.; Shestakov, I. P.
4
1990
Prime Mal’tsev superalgebras. Zbl 0774.17007
Shestakov, I. P.
4
1993
Jordan gradings on associative algebras. Zbl 1237.16040
Bahturin, Yuri; Brešar, Matej; Shestakov, Ivan
4
2011
A characterization of Lie algebras of skew-symmetric elements. Zbl 1109.17011
Grishkov, A. N.; Shestakov, I. P.
4
2005
Group gradings on associative superalgebras. Zbl 1154.16305
Bahturin, Y. A.; Shestakov, I. P.
4
2006
On Jordan doubles of slow growth of Lie superalgebras. Zbl 1437.17011
Petrogradsky, Victor; Shestakov, I. P.
4
2019
Generalizations of Lie algebras. Zbl 1263.17006
Kharchenko, V. K.; Shestakov, I. P.
4
2012
Structurable superalgebras of Cartan type. Zbl 1201.17013
Pozhidaev, Alexander P.; Shestakov, Ivan P.
4
2010
On associative representations of non-associative algebras. Zbl 1422.17028
Kornev, A. I.; Shestakov, I. P.
4
2018
On speciality of Jordan brackets. Zbl 1185.17024
Shestakov, Ivan
4
2009
Quantization of Poisson superalgebras and speciality of Jordan Poisson superalgebras. Zbl 0826.17012
Shestakov, Ivan
3
1994
Finitely generated special Jordan algebras and alternative PI-algebras. Zbl 0549.17013
Shestakov, I. P.
3
1985
Certain classes of noncommutative Jordan rings. Zbl 0259.17001
Shestakov, I. P.
3
1973
On associative algebras satisfying the identity \(x^5=0\). Zbl 1067.16044
Shestakov, Ivan; Zhukavets, Natalia
3
2004
Associative nil-algebras over finite fields. Zbl 1298.16011
Lopatin, Artem A.; Shestakov, Ivan P.
3
2013
Prime non-Lie modules for Malcev superalgebras. Zbl 0824.17003
Shestakov, I. P.; Elduque, A.
3
1994
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
On the right-symmetric algebras with a unital matrix subalgebra. Zbl 07304942
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
Fractal nil graded Lie, associative, Poisson, and Jordan superalgebras. Zbl 1470.16041
Petrogradsky, Victor; Shestakov, Ivan
2
2021
Locally finite coalgebras and the locally nilpotent radical. I. Zbl 1494.17001
Santos Filho, G.; Murakami, L.; Shestakov, I.
2
2021
Simple right-symmetric \((1, 1)\)-superalgebras. Zbl 07427817
Pozhidaev, A. P.; Shestakov, I. P.
1
2021
Locally finite coalgebras and the locally nilpotent radical. II. Zbl 1494.17002
Santos Filho, G.; Murakami, L.; Shestakov, I.
1
2021
Locally nilpotent derivations and automorphisms of free associative algebra with two generators. Zbl 1460.16025
Crode, Sidney Dale; Shestakov, Ivan P.
2
2020
Solvability and nilpotency of Novikov algebras. Zbl 1477.17005
Shestakov, Ivan; Zhang, Zerui
1
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.
4
2019
Loop of formal diffeomorphisms and Faà di Bruno coloop bialgebra. Zbl 1475.20096
Frabetti, Alessandra; Shestakov, Ivan P.
2
2019
Free generic Poisson fields and algebras. Zbl 1434.17027
Kaygorodov, Ivan; Shestakov, Ivan; Umirbaev, Ualbai
11
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.
5
2017
Constants of partial derivations and primitive operations. Zbl 1422.08001
Pchelintsev, S. V.; Shestakov, I. P.
3
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
13
2016
Irreducible bimodules over alternative algebras and superalgebras. Zbl 1397.17006
Shestakov, Ivan; Trushina, Maria
10
2016
Irreductible representations of the simple Jordan superalgebra of Grassmann Poisson bracket. Zbl 1344.17026
Solarte, Olmer Folleco; Shestakov, Ivan
5
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.
13
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.
14
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.
6
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
16
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
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
27
2011
Polynomial identities of finite dimensional simple algebras. Zbl 1253.17003
Shestakov, Ivan; Zaicev, Mikhail
15
2011
Commutative Moufang loops and alternative algebras. Zbl 1243.20076
Grishkov, Alexander N.; Shestakov, Ivan P.
5
2011
Representation type of Jordan algebras. Zbl 1219.17022
Kashuba, Iryna; Ovsienko, Serge; Shestakov, Ivan
5
2011
Jordan gradings on associative algebras. Zbl 1237.16040
Bahturin, Yuri; Brešar, Matej; Shestakov, Ivan
4
2011
On speciality of binary-Lie algebras. Zbl 1242.17028
Arenas, Manuel; Shestakov, Ivan
3
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
13
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
Structurable superalgebras of Cartan type. Zbl 1238.17004
Pozhidaev, A. P.; Shestakov, I. P.
3
2010
Noncommutative Jordan superalgebras of degree \(n \geq 2\). Zbl 1219.17001
Pozhidaev, A. P.; Shestakov, I. P.
3
2010
Examples of self-iterating Lie algebras. II. Zbl 1253.17011
Petrogradsky, V. M.; Shestakov, I. P.
11
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.
9
2009
Skew-symmetric identities of octonions. Zbl 1241.17033
Shestakov, Ivan; Zhukavets, Natalia
5
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.
15
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
A base of the free alternative superalgebra on one odd generator. Zbl 1216.17003
Zhukavets, N. M.; Shestakov, I. P.
1
2008
Jordan algebras of dimension three: geometric classification and representation type. Zbl 1232.17044
Kashuba, Iryna; Shestakov, Ivan
10
2007
The free alternative superalgebra on one odd generator. Zbl 1205.17033
Shestakov, Ivan; Zhukavets, Natalia
8
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.
22
2006
Non-associative algebra and its applications. Proceedings of the 5th international conference, Oaxtep, Mexico, July 27–August 2, 2003. Zbl 1089.17001
9
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.
60
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.
136
2004
Poisson brackets and two-generated subalgebras of rings of polynomials. Zbl 1044.17014
Shestakov, Ivan P.; Umirbaev, Ualbai U.
66
2004
An envelope for Malcev algebras. Zbl 1077.17027
Pérez-Izquierdo, José M.; Shestakov, Ivan P.
39
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.
37
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.
10
2002
Jordan superalgebras defined by brackets. Zbl 1043.17018
Martínez, Consuelo; Shestakov, Ivan; Zelmanov, Efim
18
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.
8
2000
Speciality and deformations of algebras. Zbl 1027.17001
Shestakov, Ivan P.
3
2000
Every Akivis algebra is linear. Zbl 1043.17002
Shestakov, Ivan P.
19
1999
Alternative and Jordan superalgebras. Zbl 0937.17023
Shestakov, I. P.
12
1999
Linear representability of Akivis algebras. Zbl 1034.17500
Shestakov, I. P.
6
1999
...and 53 more Documents
all top 5

Cited by 761 Authors

76 Shestakov, Ivan Pavlovich
45 Pchelintsev, Sergeĭ Valentinovich
30 Elduque, Alberto
30 Umirbaev, Ualbaĭ Utmakhanbetovich
24 Zaĭtsev, Mikhail Vladimirovich
23 Zel’manov, Efim Isaakovich
23 Zhelyabin, Viktor Nikolaevich
21 Bremner, Murray R.
21 Pérez-Izquierdo, José María
20 Bahturin, Yuri
19 Calderón Martín, Antonio Jesús
19 Hentzel, Irvin Roy
18 Martínez López, Consuelo
17 Shashkov, Oleg Vladimirovich
16 Drensky, Vesselin
16 Yu, Jie-Tai
15 Peresi, Luiz Antonio
14 Kaygorodov, Ivan
14 Koshlukov, Plamen Emilov
14 Repovš, Dušan D.
13 Martín González, Cándido
12 Kochetov, Mikhail Viktorovich
12 Kuroda, Shigeru
12 Laliena, Jesús A.
11 Brešar, Matej
11 Petrogradsky, Victor Mikhaylovich
11 Sun, Xiaosong
10 Anquela, José Angel
10 Draper, Cristina
10 Labra, Alicia
10 Makar-Limanov, Leonid G.
10 Slinko, Arkadii M.
9 Filippov, V. T.
9 Grishkov, Alexander Nikolaevich
9 Mikhalëv, Aleksandr Vasil’evich
9 Rodríguez Palacios, Angel
8 Cortés, Teresa
8 Giambruno, Antonio
8 Kanel’-Belov, Alekseĭ Yakovlevich
8 Madariaga, Sara
8 Mostovoy, Jacob
8 Pozhidaev, Aleksandr Petrovich
8 Sverchkov, Sergei Robertovich
8 Yasumura, Felipe Yukihide
8 Zhukavets, Natalia
7 Alonso Álvarez, José Nicanor
7 Beidar, Konstantin Igorevich
7 Correa, Ivan
7 García González, Esther
7 Golubkov, Artem Yu.
7 Goméz Lozano, Miguel Ángel
7 Kashuba, Iryna
7 López-Díaz, María Concepción
7 Maubach, Stefan
7 Medvedev, Yuri A.
7 Mishchenko, Sergeĭ Petrovich
6 Chen, Yuqun
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 Guzzo, Henrique jun.
6 Il’tyakov, A. V.
6 McCrimmon, Kevin
6 Mo, Qiuhui
6 Sánchez Delgado, José María
6 Tuganbaev, Askar Akanovich
6 Varro, Richard
6 Wang, Yu
6 Zitan, Fouad
5 Arenas, Manuel J.
5 Behn, Antonio
5 Benayadi, Saïd
5 Bokut, Leonid A.
5 Cabrera García, Miguel
5 Gordienko, Alekseĭ Sergeevich
5 Gubarev, Vsevolod Yur’evich
5 Ioppolo, Antonio
5 Karaś, Marek
5 Li, Yu
5 Markov, Viktor Timofeevich
5 Martino, Fabrizio
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 Zhang, Zerui
4 Albuquerque, Helena
4 Aranda Orna, Diego
4 Behboodi, Mahmood
4 Benito, Pilar
4 Boudi, Nadia
4 Cho, Ilwoo
4 Di Vincenzo, Onofrio Mario
...and 661 more Authors
all top 5

Cited in 155 Serials

187 Journal of Algebra
159 Communications in Algebra
87 Algebra and Logic
62 Siberian Mathematical Journal
42 Linear Algebra and its Applications
36 Journal of Mathematical Sciences (New York)
34 Journal of Pure and Applied Algebra
30 Mathematical Notes
29 Journal of Algebra and its Applications
23 International Journal of Algebra and Computation
21 Proceedings of the American Mathematical Society
18 Advances in Mathematics
16 Transactions of the American Mathematical Society
13 Analysis Mathematica
13 Linear and Multilinear Algebra
13 Algebras and Representation Theory
10 Israel Journal of Mathematics
10 Algebra Colloquium
10 Sibirskie Èlektronnye Matematicheskie Izvestiya
8 Transformation Groups
8 São Paulo Journal of Mathematical Sciences
7 Theoretical and Mathematical Physics
6 Journal of Mathematical Physics
6 Mathematische Zeitschrift
6 Communications in Mathematics
5 Journal of Geometry and Physics
5 Journal of Soviet Mathematics
5 Revista Matemática Iberoamericana
4 Journal of Symbolic Computation
4 Izvestiya: Mathematics
4 Doklady Mathematics
4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
4 Mediterranean Journal of Mathematics
4 Frontiers of Mathematics in China
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 Results in Mathematics
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 Algebra and Discrete Mathematics
3 Proceedings of the Steklov Institute of Mathematics
3 Asian-European Journal of Mathematics
3 Electronic Research Archive
2 Computers & Mathematics with Applications
2 Moscow University Mathematics Bulletin
2 Rocky Mountain Journal of Mathematics
2 Beiträge zur Algebra und Geometrie
2 Colloquium Mathematicum
2 Geometriae Dedicata
2 International Journal of Mathematics and Mathematical Sciences
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 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 Forum Mathematicum
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Journal of Algebraic Combinatorics
2 Georgian Mathematical Journal
2 Advances in Applied Clifford Algebras
2 Selecta Mathematica. New Series
2 Sbornik: Mathematics
2 Matematicheskie Trudy
2 Bulletin of the Brazilian Mathematical Society. New Series
2 Boletim da Sociedade Paranaense de Matemática. Terceira Série
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
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
1 Information Processing Letters
1 Journal of Mathematical Analysis and Applications
1 Russian Mathematical Surveys
1 Arkiv för Matematik
1 Annales de l’Institut Fourier
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annales Polonici Mathematici
1 Czechoslovak Mathematical Journal
1 Demonstratio Mathematica
1 Duke Mathematical Journal
1 Glasgow Mathematical Journal
1 Illinois Journal of Mathematics
1 Indiana University Mathematics Journal
...and 55 more Serials
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Cited in 46 Fields

823 Nonassociative rings and algebras (17-XX)
342 Associative rings and algebras (16-XX)
113 Algebraic geometry (14-XX)
98 Group theory and generalizations (20-XX)
75 Commutative algebra (13-XX)
33 Linear and multilinear algebra; matrix theory (15-XX)
31 Functional analysis (46-XX)
29 General algebraic systems (08-XX)
28 Category theory; homological algebra (18-XX)
19 Computer science (68-XX)
15 Quantum theory (81-XX)
14 Combinatorics (05-XX)
13 Number theory (11-XX)
13 Differential geometry (53-XX)
12 Mathematical logic and foundations (03-XX)
12 Dynamical systems and ergodic theory (37-XX)
11 Topological groups, Lie groups (22-XX)
10 Field theory and polynomials (12-XX)
9 Partial differential equations (35-XX)
8 Harmonic analysis on Euclidean spaces (42-XX)
7 History and biography (01-XX)
7 Order, lattices, ordered algebraic structures (06-XX)
7 Several complex variables and analytic spaces (32-XX)
7 Approximations and expansions (41-XX)
7 Operator theory (47-XX)
4 Manifolds and cell complexes (57-XX)
4 Numerical analysis (65-XX)
4 Information and communication theory, circuits (94-XX)
3 General topology (54-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Operations research, mathematical programming (90-XX)
2 \(K\)-theory (19-XX)
2 Real functions (26-XX)
2 Ordinary differential equations (34-XX)
2 Geometry (51-XX)
2 Probability theory and stochastic processes (60-XX)
2 Biology and other natural sciences (92-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 Algebraic topology (55-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)

Citations by Year

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