Edit Profile (opens in new tab) Shestakov, Ivan Pavlovich Co-Author Distance Author ID: shestakov.ivan-p Published as: Shestakov, I. P.; Shestakov, Ivan; Shestakov, Ivan P.; Shestakov, I.; Shestakov, Ivan Pavlovich more...less 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 all top 5 Fields 171 Nonassociative rings and algebras (17-XX) 50 Associative rings and algebras (16-XX) 17 History and biography (01-XX) 14 Group theory and generalizations (20-XX) 10 General and overarching topics; collections (00-XX) 10 Commutative algebra (13-XX) 10 Algebraic geometry (14-XX) 3 Differential geometry (53-XX) 2 General algebraic systems (08-XX) 2 Topological groups, Lie groups (22-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Category theory; homological algebra (18-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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. 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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 all top 5 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 Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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