Edit Profile (opens in new tab) Shestakov, Ivan Pavlovich Compute Distance To: Compute 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: 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 all top 5 Fields 161 Nonassociative rings and algebras (17-XX) 48 Associative rings and algebras (16-XX) 17 History and biography (01-XX) 16 Group theory and generalizations (20-XX) 10 General and overarching topics; collections (00-XX) 9 Commutative algebra (13-XX) 9 Algebraic geometry (14-XX) 3 Differential geometry (53-XX) 2 Mathematical logic and foundations (03-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 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 0487.17001Zhevlakov, 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 0445.17001Zhevlakov, 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 1056.14085Shestakov, Ivan P.; Umirbaev, Ualbai U. 136 2004 Poisson brackets and two-generated subalgebras of rings of polynomials. Zbl 1044.17014Shestakov, Ivan P.; Umirbaev, Ualbai U. 66 2004 Gradings on simple Jordan and Lie algebras. Zbl 1066.17018Bahturin, Y. A.; Shestakov, I. P.; Zaicev, M. V. 60 2005 An envelope for Malcev algebras. Zbl 1077.17027Pérez-Izquierdo, José M.; Shestakov, Ivan P. 39 2004 Free Akivis algebras, primitive elements, and hyperalgebras. Zbl 0993.17002Shestakov, Ivan P.; Umirbaev, Ualbai U. 38 2002 The Nagata automorphism is wild. Zbl 1065.13010Shestakov, Ivan P.; Umirbaev, Ualbai U. 37 2003 Prime alternative superalgebras of arbitrary characteristic. Zbl 0904.17025Shestakov, I. P. 37 1997 On the Lie structure of the skew elements of a simple superalgebra with superinvolution. Zbl 0916.17007Gómez-Ambrosi, Carlos; Shestakov, Ivan P. 35 1998 Quantization of Poisson superalgebras and speciality of Jordan Poisson superalgebras. Zbl 0826.17013Shestakov, I. P. 29 1993 On local finiteness in the sense of Shirshov. Zbl 0289.17001Zhevlakov, K. A.; Shestakov, I. P. 28 1974 Finite-dimensional non-associative algebras and codimension growth. Zbl 1290.17028Giambruno, Antonio; Shestakov, Ivan; Zaicev, Mikhail 27 2011 Absolute zero-divisors and radicals of finitely generated alternative algebras. Zbl 0369.17011Shestakov, I. P. 22 1976 Dniester notebook: unsolved problems in the theory of rings and modules. Zbl 1288.16001Filippov, 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 1121.17300Gómez-Ambrosi, Carlos; Laliena, Jesús; Shestakov, Ivan P. 21 2000 Prime alternative superalgebras and nilpotency of the radical of a free alternative algebra. Zbl 0713.17020Zel’manov, E. I.; Shestakov, I. P. 20 1990 Every Akivis algebra is linear. Zbl 1043.17002Shestakov, Ivan P. 19 1999 Jordan algebras. (Иордановы алгебры.) Zbl 0343.17007Zhevlakov, K. A.; Slin’ko, A. M.; Shestakov, I. P.; Shirshov, A. I. 19 1976 Jordan superalgebras defined by brackets. Zbl 1043.17018Martínez, Consuelo; Shestakov, Ivan; Zelmanov, Efim 18 2001 Prime alternative superalgebras and nilpotence of the radical of a free alternative algebra. Zbl 0724.17022Zel’manov, E. I.; Shestakov, I. P. 18 1991 Polynomial and Poisson dependence in free Poisson algebras and free Poisson fields. Zbl 1259.17021Makar-Limanov, Leonid; Shestakov, Ivan 16 2012 Simple special Jordan superalgebras with associative even part. Zbl 1059.17021Zhelyabin, V. N.; Shestakov, I. P. 15 2004 Polynomial identities of finite dimensional simple algebras. Zbl 1253.17003Shestakov, Ivan; Zaicev, Mikhail 15 2011 Superalgebras and counterexamples. Zbl 0756.17001Shestakov, I. P. 15 1991 Some examples of nil Lie algebras. Zbl 1144.17013Shestakov, I. P.; Zelmanov, E. 15 2008 Free Malcev superalgebra on one odd generator. Zbl 1050.17026Shestakov, Ivan P. 14 2003 PBW-pairs of varieties of linear algebras. Zbl 1300.17006Mikhalev, Alexander A.; Shestakov, Ivan P. 14 2014 Hopf algebras in non-associative Lie theory. Zbl 1393.17001Mostovoy, J.; Pérez-Izquierdo, J. M.; Shestakov, I. P. 14 2014 Radicals and nilpotent elements of free alternative algebras. Zbl 0329.17005Shestakov, I. P. 14 1975 Nil graded self-similar algebras. Zbl 1229.17025Petrogradsky, Victor M.; Shestakov, Ivan P.; Zelmanov, Efim 13 2010 Prime \((-1,1)\) and Jordan monsters and superalgebras of vector type. Zbl 1369.17029Pchelintsev, Sergey V.; Shestakov, Ivan P. 13 2015 On right alternative superalgebras. Zbl 1384.17007Picanço da Silva, Juaci; Murakami, Lucia S. I.; Shestakov, Ivan 13 2016 Jordan bimodules over the superalgebras \(P(n)\) and \(Q(n)\). Zbl 1195.17024Martínez, Consuelo; Shestakov, Ivan; Zelmanov, Efim 13 2010 Irreducible non-Lie modules for Malcev superalgebras. Zbl 0824.17005Elduque, Alberto; Shestakov, Ivan P. 12 1995 Representations of exceptional simple alternative superalgebras of characteristic 3. Zbl 1063.17021López-Díaz, M. C.; Shestakov, Ivan P. 12 2002 Alternative and Jordan superalgebras. Zbl 0937.17023Shestakov, I. P. 12 1999 General algebra. Tom 1. Ed. by L. A. Skornyakov. (Общая алгебра. Том 1.) Zbl 0751.00002Mel’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 1434.17027Kaygorodov, Ivan; Shestakov, Ivan; Umirbaev, Ualbai 11 2018 Examples of self-iterating Lie algebras. II. Zbl 1253.17011Petrogradsky, V. M.; Shestakov, I. P. 11 2009 Irreducible bimodules over alternative algebras and superalgebras. Zbl 1397.17006Shestakov, Ivan; Trushina, Maria 10 2016 Gradings of simple Jordan algebras and their relation to the gradings of simple associative algebras. Zbl 1054.17025Bahturin, Yuri; Shestakov, Ivan 10 2001 Irreducible unital right alternative bimodules. Zbl 1002.17018Ikemoto Murakami, Lucia; Shestakov, Ivan 10 2001 Subalgebras and automorphisms of polynomial rings. Zbl 1170.14310Umirbaev, U. U.; Shestakov, I. P. 10 2002 Jordan algebras of dimension three: geometric classification and representation type. Zbl 1232.17044Kashuba, 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 1138.17015Shestakov, 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 1188.01028Shirshov, A. I. 9 2009 A problem of Shirshov. Zbl 0399.17006Shestakov, I. P. 9 1977 Representations of exceptional simple Jordan superalgebras of characteristic 3. Zbl 1069.17011López-Díaz, M. C.; Shestakov, Ivan P. 8 2005 Speciality problem for Malcev algebras and Poisson Malcev algebras. Zbl 0971.17019Shestakov, Ivan P. 8 2000 Finitely generated special Jordan and alternative PI-algebras. Zbl 0524.17008Shestakov, I. P. 8 1983 The free alternative superalgebra on one odd generator. Zbl 1205.17033Shestakov, Ivan; Zhukavets, Natalia 8 2007 Finite-dimensional algebras with a nil-basis. Zbl 0224.17001Shestakov, I. P. 8 1971 Moufang loops and alternative algebras. Zbl 1038.17024Shestakov, Ivan P. 7 2004 Self-similar associative algebras. Zbl 1293.16020Petrogradsky, V. M.; Shestakov, I. P. 7 2013 Simple \((-1,1)\)-superalgebras. Zbl 0913.17003Shestakov, I. P. 7 1998 Nonassociative structures. Zbl 0713.17001Kuz’min, E. N.; Shestakov, I. P. 7 1990 The Malcev Poisson superalgebra of the free Malcev superalgebra on one odd generator. Zbl 1161.17325Shestakov, Ivan; Zhukavets, Natalia 7 2006 Chevalley and Kostant theorems for Mal’tsev algebras. Zbl 1164.17025Zhelyabin, V. N.; Shestakov, I. P. 7 2007 On properties of the Fibonacci restricted Lie algebra. Zbl 1280.17019Petrogradsky, V. M.; Shestakov, I. P. 7 2013 Linear representability of Akivis algebras. Zbl 1034.17500Shestakov, I. P. 6 1999 Quantization of Poisson algebras, and weak speciality of the Jordan superalgebras associated with them. Zbl 0832.17034Shestakov, I. P. 6 1994 Speciality of Lie-Jordan algebras. Zbl 0988.17026Grishkov, A. N.; Shestakov, Ivan P. 6 2001 The Freiheitssatz for generic Poisson algebras. Zbl 1346.17003Kolesnikov, Pavel S.; Makar-Limanov, Leonid G.; Shestakov, Ivan P. 6 2014 Speciality of Malcev superalgebras on one odd generator. Zbl 1162.17028Shestakov, Ivan; Zhukavets, Natalia 6 2006 Nilpotent Sabinin algebras. Zbl 1362.17007Mostovoy, J.; Pérez-Izquierdo, J. M.; Shestakov, I. P. 6 2014 Right representations of algebras. Zbl 0342.17003Slin’ko, A. M.; Shestakov, I. P. 6 1975 Automorphic equivalence of the representations of Lie algebras. Zbl 1358.17010Shestakov, I.; Tsurkov, A. 6 2013 Superalgebras and counterexamples. Zbl 0777.17004Shestakov, I. P. 5 1991 Commutative Moufang loops and alternative algebras. Zbl 1243.20076Grishkov, Alexander N.; Shestakov, Ivan P. 5 2011 Representation type of Jordan algebras. Zbl 1219.17022Kashuba, Iryna; Ovsienko, Serge; Shestakov, Ivan 5 2011 Nonassociative affine algebras. Zbl 0760.17001Polikarpov, S. V.; Shestakov, I. P. 5 1990 Prime Mal’tsev superalgebras. Zbl 0742.17007Shestakov, I. P. 5 1991 Simple finite-dimensional noncommutative Jordan superalgebras of characteristic 0. Zbl 1276.17017Pozhidaev, A. P.; Shestakov, I. P. 5 2013 Skew-symmetric identities of octonions. Zbl 1241.17033Shestakov, Ivan; Zhukavets, Natalia 5 2009 A non-associative Baker-Campbell-Hausdorff formula. Zbl 1428.17002Mostovoy, J.; Pérez-Izquierdo, J. M.; Shestakov, I. P. 5 2017 Invariants of \(\mathrm G_2\) and Spin(7) in positive characteristic. Zbl 1396.14042Zubkov, A. N.; Shestakov, I. P. 5 2018 Irreductible representations of the simple Jordan superalgebra of Grassmann Poisson bracket. Zbl 1344.17026Solarte, Olmer Folleco; Shestakov, Ivan 5 2016 Alternative algebras. Part I. (Альтернативные алгебры. Часть I.) Zbl 0402.17018Zhevlakov, K. A.; Slin’ko, A. M.; Shestakov, I. P.; Shirshov, A. I. 5 1976 Centers of alternative algebras. Zbl 0402.17019Shestakov, I. P. 5 1977 Simple finite-dimensional modular noncommutative Jordan superalgebras. Zbl 1472.17003Pozhidaev, A. P.; Shestakov, I. P. 5 2019 Nonassociative affine algebras. Zbl 0786.17002Polikarpov, S. V.; Shestakov, I. P. 4 1990 Prime Mal’tsev superalgebras. Zbl 0774.17007Shestakov, I. P. 4 1993 Jordan gradings on associative algebras. Zbl 1237.16040Bahturin, Yuri; Brešar, Matej; Shestakov, Ivan 4 2011 A characterization of Lie algebras of skew-symmetric elements. Zbl 1109.17011Grishkov, A. N.; Shestakov, I. P. 4 2005 Group gradings on associative superalgebras. Zbl 1154.16305Bahturin, Y. A.; Shestakov, I. P. 4 2006 On Jordan doubles of slow growth of Lie superalgebras. Zbl 1437.17011Petrogradsky, Victor; Shestakov, I. P. 4 2019 Generalizations of Lie algebras. Zbl 1263.17006Kharchenko, V. K.; Shestakov, I. P. 4 2012 Structurable superalgebras of Cartan type. Zbl 1201.17013Pozhidaev, Alexander P.; Shestakov, Ivan P. 4 2010 On associative representations of non-associative algebras. Zbl 1422.17028Kornev, A. I.; Shestakov, I. P. 4 2018 On speciality of Jordan brackets. Zbl 1185.17024Shestakov, Ivan 4 2009 Quantization of Poisson superalgebras and speciality of Jordan Poisson superalgebras. Zbl 0826.17012Shestakov, Ivan 3 1994 Finitely generated special Jordan algebras and alternative PI-algebras. Zbl 0549.17013Shestakov, I. P. 3 1985 Certain classes of noncommutative Jordan rings. Zbl 0259.17001Shestakov, I. P. 3 1973 On associative algebras satisfying the identity \(x^5=0\). Zbl 1067.16044Shestakov, Ivan; Zhukavets, Natalia 3 2004 Associative nil-algebras over finite fields. Zbl 1298.16011Lopatin, Artem A.; Shestakov, Ivan P. 3 2013 Prime non-Lie modules for Malcev superalgebras. Zbl 0824.17003Shestakov, I. P.; Elduque, A. 3 1994 Non-associative structures. Zbl 0826.17001Kuz’min, E. N.; Shestakov, I. P. 3 1990 On invariants of \(F_ 4\) and the center of the Albert algebra. Zbl 0851.17033Iltyakov, A. V.; Shestakov, I. P. 3 1996 On the right-symmetric algebras with a unital matrix subalgebra. Zbl 07304942Pozhidaev, A. P.; Shestakov, I. P. 2 2021 Right alternative bimodules over Cayley algebra and coordinatization theorem. Zbl 1475.17052Pchelintsev, S. V.; Shashkov, O. V.; Shestakov, I. P. 2 2021 Fractal nil graded Lie, associative, Poisson, and Jordan superalgebras. Zbl 1470.16041Petrogradsky, Victor; Shestakov, Ivan 2 2021 Locally finite coalgebras and the locally nilpotent radical. I. Zbl 1494.17001Santos Filho, G.; Murakami, L.; Shestakov, I. 2 2021 Simple right-symmetric \((1, 1)\)-superalgebras. Zbl 07427817Pozhidaev, A. P.; Shestakov, I. P. 1 2021 Locally finite coalgebras and the locally nilpotent radical. II. Zbl 1494.17002Santos Filho, G.; Murakami, L.; Shestakov, I. 1 2021 Locally nilpotent derivations and automorphisms of free associative algebra with two generators. Zbl 1460.16025Crode, Sidney Dale; Shestakov, Ivan P. 2 2020 Solvability and nilpotency of Novikov algebras. Zbl 1477.17005Shestakov, Ivan; Zhang, Zerui 1 2020 Simple finite-dimensional modular noncommutative Jordan superalgebras. Zbl 1472.17003Pozhidaev, A. P.; Shestakov, I. P. 5 2019 On Jordan doubles of slow growth of Lie superalgebras. Zbl 1437.17011Petrogradsky, Victor; Shestakov, I. P. 4 2019 Loop of formal diffeomorphisms and Faà di Bruno coloop bialgebra. Zbl 1475.20096Frabetti, Alessandra; Shestakov, Ivan P. 2 2019 Free generic Poisson fields and algebras. Zbl 1434.17027Kaygorodov, Ivan; Shestakov, Ivan; Umirbaev, Ualbai 11 2018 Invariants of \(\mathrm G_2\) and Spin(7) in positive characteristic. Zbl 1396.14042Zubkov, A. N.; Shestakov, I. P. 5 2018 On associative representations of non-associative algebras. Zbl 1422.17028Kornev, A. I.; Shestakov, I. P. 4 2018 A finite presentation of Jordan algebras. Zbl 1472.17093Shestakov, Ivan; Zelmanov, Efim 2 2018 Rings of constants of linear derivations on Fermat rings. Zbl 1461.13031Veloso, Marcelo; Shestakov, Ivan 1 2018 Commuting \(U\)-operators and nondegenerate imbeddings of Jordan systems. Zbl 1430.17100Anquela, José A.; Cortés, Teresa; Shestakov, Ivan 1 2018 A non-associative Baker-Campbell-Hausdorff formula. Zbl 1428.17002Mostovoy, J.; Pérez-Izquierdo, J. M.; Shestakov, I. P. 5 2017 Constants of partial derivations and primitive operations. Zbl 1422.08001Pchelintsev, S. V.; Shestakov, I. P. 3 2017 Basic superranks for varieties of algebras. Zbl 1417.17006Kuz’min, Alexey; Shestakov, Ivan 2 2017 On the representation type of Jordan basic algebras. Zbl 1371.17026Kashuba, Iryna; Ovsienko, Serge; Shestakov, Ivan 1 2017 On right alternative superalgebras. Zbl 1384.17007Picanço da Silva, Juaci; Murakami, Lucia S. I.; Shestakov, Ivan 13 2016 Irreducible bimodules over alternative algebras and superalgebras. Zbl 1397.17006Shestakov, Ivan; Trushina, Maria 10 2016 Irreductible representations of the simple Jordan superalgebra of Grassmann Poisson bracket. Zbl 1344.17026Solarte, Olmer Folleco; Shestakov, Ivan 5 2016 On commuting \(U\)-operators in Jordan algebras. Zbl 1378.17048Shestakov, Ivan 2 2016 Skew-symmetric identities of finitely generated Malcev algebras. Zbl 1479.17059Shestakov, I. 1 2016 Prime \((-1,1)\) and Jordan monsters and superalgebras of vector type. Zbl 1369.17029Pchelintsev, Sergey V.; Shestakov, Ivan P. 13 2015 Co-Moufang deformations of the universal enveloping algebra of the algebra of traceless octonions. Zbl 1395.17077Pérez-Izquierdo, José M.; Shestakov, Ivan P. 2 2015 PBW-pairs of varieties of linear algebras. Zbl 1300.17006Mikhalev, Alexander A.; Shestakov, Ivan P. 14 2014 Hopf algebras in non-associative Lie theory. Zbl 1393.17001Mostovoy, J.; Pérez-Izquierdo, J. M.; Shestakov, I. P. 14 2014 The Freiheitssatz for generic Poisson algebras. Zbl 1346.17003Kolesnikov, Pavel S.; Makar-Limanov, Leonid G.; Shestakov, Ivan P. 6 2014 Nilpotent Sabinin algebras. Zbl 1362.17007Mostovoy, J.; Pérez-Izquierdo, J. M.; Shestakov, I. P. 6 2014 Self-similar associative algebras. Zbl 1293.16020Petrogradsky, V. M.; Shestakov, I. P. 7 2013 On properties of the Fibonacci restricted Lie algebra. Zbl 1280.17019Petrogradsky, V. M.; Shestakov, I. P. 7 2013 Automorphic equivalence of the representations of Lie algebras. Zbl 1358.17010Shestakov, I.; Tsurkov, A. 6 2013 Simple finite-dimensional noncommutative Jordan superalgebras of characteristic 0. Zbl 1276.17017Pozhidaev, A. P.; Shestakov, I. P. 5 2013 Associative nil-algebras over finite fields. Zbl 1298.16011Lopatin, Artem A.; Shestakov, Ivan P. 3 2013 The coordinate ring of an \(n\)-dimensional sphere and some examples of differentially simple algebras. Zbl 1387.17006Zhelyabin, V. N.; Popov, A. A.; Shestakov, I. P. 2 2013 Polynomial and Poisson dependence in free Poisson algebras and free Poisson fields. Zbl 1259.17021Makar-Limanov, Leonid; Shestakov, Ivan 16 2012 Generalizations of Lie algebras. Zbl 1263.17006Kharchenko, V. K.; Shestakov, I. P. 4 2012 Representations of alternative algebras and superalgebras. Zbl 1279.17006Trushina, M. N.; Shestakov, I. P. 3 2012 On the radical of a free Malcev algebra. Zbl 1301.17021Shestakov, I. P.; Kornev, A. I. 1 2012 Finite-dimensional non-associative algebras and codimension growth. Zbl 1290.17028Giambruno, Antonio; Shestakov, Ivan; Zaicev, Mikhail 27 2011 Polynomial identities of finite dimensional simple algebras. Zbl 1253.17003Shestakov, Ivan; Zaicev, Mikhail 15 2011 Commutative Moufang loops and alternative algebras. Zbl 1243.20076Grishkov, Alexander N.; Shestakov, Ivan P. 5 2011 Representation type of Jordan algebras. Zbl 1219.17022Kashuba, Iryna; Ovsienko, Serge; Shestakov, Ivan 5 2011 Jordan gradings on associative algebras. Zbl 1237.16040Bahturin, Yuri; Brešar, Matej; Shestakov, Ivan 4 2011 On speciality of binary-Lie algebras. Zbl 1242.17028Arenas, Manuel; Shestakov, Ivan 3 2011 Associative identities of octonions. Zbl 1248.17002Shestakov, I. P. 1 2011 Nil graded self-similar algebras. Zbl 1229.17025Petrogradsky, Victor M.; Shestakov, Ivan P.; Zelmanov, Efim 13 2010 Jordan bimodules over the superalgebras \(P(n)\) and \(Q(n)\). Zbl 1195.17024Martínez, Consuelo; Shestakov, Ivan; Zelmanov, Efim 13 2010 Structurable superalgebras of Cartan type. Zbl 1201.17013Pozhidaev, 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 1259.17026Pérez-Izquierdo, José M.; Shestakov, Ivan P. 3 2010 Structurable superalgebras of Cartan type. Zbl 1238.17004Pozhidaev, A. P.; Shestakov, I. P. 3 2010 Noncommutative Jordan superalgebras of degree \(n \geq 2\). Zbl 1219.17001Pozhidaev, A. P.; Shestakov, I. P. 3 2010 Examples of self-iterating Lie algebras. II. Zbl 1253.17011Petrogradsky, 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 1188.01028Shirshov, A. I. 9 2009 Skew-symmetric identities of octonions. Zbl 1241.17033Shestakov, Ivan; Zhukavets, Natalia 5 2009 On speciality of Jordan brackets. Zbl 1185.17024Shestakov, Ivan 4 2009 An estimate of the dimension of the varieties of alternative and Jordan algebras. Zbl 1276.17019Kashuba, Iryna; Shestakov, Ivan 1 2009 Some examples of nil Lie algebras. Zbl 1144.17013Shestakov, I. P.; Zelmanov, E. 15 2008 Noetherianness of wreath products of abelian Lie algebras with respect to equations of universal enveloping algebra. Zbl 1164.17010Romanovskiĭ, N. S.; Shestakov, I. P. 2 2008 A base of the free alternative superalgebra on one odd generator. Zbl 1216.17003Zhukavets, N. M.; Shestakov, I. P. 1 2008 Jordan algebras of dimension three: geometric classification and representation type. Zbl 1232.17044Kashuba, Iryna; Shestakov, Ivan 10 2007 The free alternative superalgebra on one odd generator. Zbl 1205.17033Shestakov, Ivan; Zhukavets, Natalia 8 2007 Chevalley and Kostant theorems for Mal’tsev algebras. Zbl 1164.17025Zhelyabin, V. N.; Shestakov, I. P. 7 2007 Dniester notebook: unsolved problems in the theory of rings and modules. Zbl 1288.16001Filippov, 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 1138.17015Shestakov, Ivan; Zhukavets, Natalia 9 2006 The Malcev Poisson superalgebra of the free Malcev superalgebra on one odd generator. Zbl 1161.17325Shestakov, Ivan; Zhukavets, Natalia 7 2006 Speciality of Malcev superalgebras on one odd generator. Zbl 1162.17028Shestakov, Ivan; Zhukavets, Natalia 6 2006 Group gradings on associative superalgebras. Zbl 1154.16305Bahturin, Y. A.; Shestakov, I. P. 4 2006 Engel theorem for Jordan superalgebras. Zbl 1100.17013Shestakov, Ivan; Okunev, Konstantin 1 2006 Gradings on simple Jordan and Lie algebras. Zbl 1066.17018Bahturin, Y. A.; Shestakov, I. P.; Zaicev, M. V. 60 2005 Representations of exceptional simple Jordan superalgebras of characteristic 3. Zbl 1069.17011López-Díaz, M. C.; Shestakov, Ivan P. 8 2005 A characterization of Lie algebras of skew-symmetric elements. Zbl 1109.17011Grishkov, A. N.; Shestakov, I. P. 4 2005 Alternative superalgebras with DCC on two-sided ideals. Zbl 1099.17016López-Díaz, M. C.; Shestakov, Ivan P. 2 2005 The tame and the wild automorphisms of polynomial rings in three variables. Zbl 1056.14085Shestakov, Ivan P.; Umirbaev, Ualbai U. 136 2004 Poisson brackets and two-generated subalgebras of rings of polynomials. Zbl 1044.17014Shestakov, Ivan P.; Umirbaev, Ualbai U. 66 2004 An envelope for Malcev algebras. Zbl 1077.17027Pérez-Izquierdo, José M.; Shestakov, Ivan P. 39 2004 Simple special Jordan superalgebras with associative even part. Zbl 1059.17021Zhelyabin, V. N.; Shestakov, I. P. 15 2004 Moufang loops and alternative algebras. Zbl 1038.17024Shestakov, Ivan P. 7 2004 On associative algebras satisfying the identity \(x^5=0\). Zbl 1067.16044Shestakov, Ivan; Zhukavets, Natalia 3 2004 Free Malcev superalgebra on one odd generator and related superalgebras. Zbl 1072.17016Zhukavets, N. M.; Shestakov, I. P. 2 2004 The Nagata automorphism is wild. Zbl 1065.13010Shestakov, Ivan P.; Umirbaev, Ualbai U. 37 2003 Free Malcev superalgebra on one odd generator. Zbl 1050.17026Shestakov, Ivan P. 14 2003 Free Akivis algebras, primitive elements, and hyperalgebras. Zbl 0993.17002Shestakov, Ivan P.; Umirbaev, Ualbai U. 38 2002 Representations of exceptional simple alternative superalgebras of characteristic 3. Zbl 1063.17021López-Díaz, M. C.; Shestakov, Ivan P. 12 2002 Subalgebras and automorphisms of polynomial rings. Zbl 1170.14310Umirbaev, U. U.; Shestakov, I. P. 10 2002 Jordan superalgebras defined by brackets. Zbl 1043.17018Martínez, Consuelo; Shestakov, Ivan; Zelmanov, Efim 18 2001 Gradings of simple Jordan algebras and their relation to the gradings of simple associative algebras. Zbl 1054.17025Bahturin, Yuri; Shestakov, Ivan 10 2001 Irreducible unital right alternative bimodules. Zbl 1002.17018Ikemoto Murakami, Lucia; Shestakov, Ivan 10 2001 Speciality of Lie-Jordan algebras. Zbl 0988.17026Grishkov, A. N.; Shestakov, Ivan P. 6 2001 Free Akivis algebras, primitive elements, and hyperalgebras. Zbl 1034.17002Shestakov, Ivan P.; Umirbaev, Ualbai U. 2 2001 On the Lie structure of the skew elements of a prime superalgebra with superinvolution. Zbl 1121.17300Gómez-Ambrosi, Carlos; Laliena, Jesús; Shestakov, Ivan P. 21 2000 Speciality problem for Malcev algebras and Poisson Malcev algebras. Zbl 0971.17019Shestakov, Ivan P. 8 2000 Speciality and deformations of algebras. Zbl 1027.17001Shestakov, Ivan P. 3 2000 Every Akivis algebra is linear. Zbl 1043.17002Shestakov, Ivan P. 19 1999 Alternative and Jordan superalgebras. Zbl 0937.17023Shestakov, I. P. 12 1999 Linear representability of Akivis algebras. Zbl 1034.17500Shestakov, I. P. 6 1999 ...and 53 more Documents all cited Publications top 5 cited Publications 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. 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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 all top 5 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 Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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