Edit Profile Shestakov, Ivan Pavlovich Compute Distance To: Compute Author ID: shestakov.ivan-p Published as: Shestakov, I. P.; Shestakov, Ivan; Shestakov, Ivan P.; Shestakov, I. Homepage: https://www.ime.usp.br/~shestak/ External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND Documents Indexed: 179 Publications since 1971, including 9 Books Reviewing Activity: 101 Reviews Biographic References: 2 Publications all top 5 Co-Authors 44 single-authored 10 Zel’manov, Efim Isaakovich 9 Bokut, Leonid A. 8 Slinko, Arkadii M. 8 Umirbaev, Ualbaĭ Utmakhanbetovich 8 Zhukavets, Natalia 7 Pérez-Izquierdo, José María 7 Pozhidaev, Aleksandr Petrovich 6 Kharchenko, Vladislav K. 6 Kuz’min, E. N. 6 López-Díaz, María Concepción 6 Petrogradsky, Victor Mikhaylovich 6 Shirshov, Anatoliĭ Illarionovich 5 Bahturin, Yuri 5 Romanovskii, N. S. 5 Zaĭtsev, Mikhail Vladimirovich 5 Zhelyabin, Viktor Nikolaevich 5 Zhevlakov, K. A. 4 Elduque, Alberto 4 Ershov, Yuriĭ Leonidovich 4 Kashuba, Iryna 4 Makar-Limanov, Leonid G. 4 Martínez López, Consuelo 4 Mostovoy, Jacob 3 Grishkov, Alexander Nikolaevich 3 Kolesnikov, Pavel Sergeevich 3 Latyshev, Viktor Nikolaevich 3 Ovsienko, Sergei A. 3 Pchelintsev, Sergeĭ Valentinovich 3 Remeslennikov, Vladimir Nikanorovich 2 Artamonov, Vyacheslav Aleksandrovich 2 Caicedo, Xavier 2 Filippov, V. T. 2 Futorny, Vyacheslav M. 2 Giraldo, Hernán 2 Gómez-Ambrosi, Carlos 2 Goncharov, Sergeĭ Savost’yanovich 2 Grigorchuk, Rostislav Ivanovich 2 Kac, Victor G. 2 Kargapolov, Mikhail Ivanovich 2 Kolmogorov, Andreĭ Nikolaevich 2 Kornev, Aleksandr Ivanovich 2 Kostrikin, Alekseĭ Ivanovich 2 Mazurov, Viktor Danilovich 2 Mikhalëv, Aleksandr Vasil’evich 2 Mikhalëv, Aleksandr Aleksandrovich 2 Novikov, Sergeĭ Petrovich 2 Ol’shanskiĭ, Aleksandr Yur’evich 2 Parshin, Alexei N. 2 Platonov, Vladimir Petrovich 2 Polikarpov, S. V. 2 Roman’kov, Vitaly Anatol’evich 2 Sobolev, Sergeĭ L’vovich 2 Sverchkov, Sergei Robertovich 2 Taimanov, Iskander Asanovich 2 Zhang, Zerui 1 Alaev, Pavel Evgenievich 1 Andriĭchuk, Vasyl’ Ivanovych 1 Andruskiewitsch, Nicolás 1 Anquela, José Angel 1 Arenas, Manuel 1 Babych, V”yacheslav Mykhaĭlovych 1 Baizhanov, Bektur Sembiuly 1 Bezushchak, Oksana O. 1 Bondarenko, Vitalij M. 1 Brešar, Matej 1 Brzeziński, Tomasz 1 Chatzidakis, Zoé Maria 1 Churkin, Valerii Avdeevich 1 Cortés, Teresa 1 Crode, Sidney Dale 1 Dokuchaev, Mikhailo 1 Drensky, Vesselin 1 Drozd, Yuriĭ Anatoliĭovych 1 Frabetti, Alessandra 1 Ganiushkin, O. G. 1 Gardner, Barry J. 1 Giambruno, Antonio 1 Golod, Evgeniĭ Solomonovich 1 Gómez Pardo, José Luis 1 Gonçalves, Jairo Zacarias 1 González, Santos 1 Gorodnii, M. F. 1 Grechkoseeva, Mariya Aleksandrovna 1 Gubareni, Nadiya M. 1 Gudivok, P. M. 1 Ikemoto Murakami, Lucia 1 Il’tyakov, A. V. 1 Kaĭgorodov, Ivan B. 1 Kal’menov, Tynysbek Sharipovich 1 Kashu, Alekseĭ Ivanovich 1 Kemer, Aleksandr Robertovich 1 Kharlampovich, Olga G. 1 Khisamiev, Nazif Garrifullinovich 1 Khukhro, Evgeniĭ I. 1 Kleinfeld, Erwin 1 Kolyada, Sergiǐ Fedorovych 1 Komarnytsky, M. Ya. 1 Kopytov, Valerij M. 1 Kulpeshov, Beibut Shaiykovich 1 Kurdachenko, Leonid Andriĭovych ...and 77 more Co-Authors all top 5 Serials 21 Journal of Algebra 18 Algebra and Logic 13 Communications in Algebra 10 Algebra i Logika 5 Doklady Mathematics 5 Algebra and Discrete Mathematics 5 Journal of Algebra and its Applications 4 Russian Mathematical Surveys 4 Journal of Pure and Applied Algebra 4 Siberian Mathematical Journal 4 São Paulo Journal of Mathematical Sciences 3 Mathematical Notes 3 Matematicheskie Zametki 3 Proceedings of the American Mathematical Society 3 Sibirskiĭ Matematicheskiĭ Zhurnal 3 Transactions of the American Mathematical Society 3 International Journal of Algebra and Computation 3 Resenhas do Instituto do Matemática e Estatística da Universidade de São Paulo 2 Advances in Mathematics 2 Journal of the American Mathematical Society 2 Mathematics of the USSR, Sbornik 2 Journal of Lie Theory 2 Nova Journal of Algebra and Geometry 2 Algebras and Representation Theory 1 Israel Journal of Mathematics 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Archiv der Mathematik 1 Geometriae Dedicata 1 Glasgow Mathematical Journal 1 Journal of the London Mathematical Society. Second Series 1 Journal of Soviet Mathematics 1 Matematicheskiĭ Sbornik. Novaya Seriya 1 Mathematics of the USSR. Izvestiya 1 Advances in Applied Mathematics 1 Acta Applicandae Mathematicae 1 Siberian Advances in Mathematics 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Linear Algebra and its Applications 1 Proceedings of the National Academy of Sciences of the United States of America 1 Matematicheskiĭ Sbornik 1 Russian Academy of Sciences. Doklady. Mathematics 1 Journal of Mathematical Sciences (New York) 1 Advances in Applied Clifford Algebras 1 Transformation Groups 1 Fundamental’naya i Prikladnaya Matematika 1 Journal of the European Mathematical Society (JEMS) 1 The Quarterly Journal of Mathematics 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Fundamental’nye Napravleniya 1 Lecture Notes in Pure and Applied Mathematics 1 Groups, Geometry, and Dynamics 1 Bulletin of Mathematical Sciences 1 Trends in Mathematics all top 5 Fields 153 Nonassociative rings and algebras (17-XX) 44 Associative rings and algebras (16-XX) 14 History and biography (01-XX) 14 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 General algebraic systems (08-XX) 3 Differential geometry (53-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 130 Publications have been cited 1,606 times in 1,003 Documents Cited by ▼ Year ▼ Rings that are nearly associative. Transl. from the Russian by Harry F. Smith. Zbl 0487.17001Zhevlakov, K. A.; Slin’ko, A. M.; Shestakov, I. P.; Shirshov, A. I. 313 1982 Rings that are nearly associative. (Кол’ца, близкие к ассоциативным.) Zbl 0445.17001Zhevlakov, K. A.; Slin’ko, A. M.; Shestakov, I. P.; Shirshov, A. I. 140 1978 The tame and the wild automorphisms of polynomial rings in three variables. Zbl 1056.14085Shestakov, Ivan P.; Umirbaev, Ualbai U. 124 2004 Poisson brackets and two-generated subalgebras of rings of polynomials. Zbl 1044.17014Shestakov, Ivan P.; Umirbaev, Ualbai U. 62 2004 Gradings on simple Jordan and Lie algebras. Zbl 1066.17018Bahturin, Y. A.; Shestakov, I. P.; Zaicev, M. V. 51 2005 Prime alternative superalgebras of arbitrary characteristic. Zbl 0904.17025Shestakov, I. P. 35 1997 An envelope for Malcev algebras. Zbl 1077.17027Pérez-Izquierdo, José M.; Shestakov, Ivan P. 35 2004 Free Akivis algebras, primitive elements, and hyperalgebras. Zbl 0993.17002Shestakov, Ivan P.; Umirbaev, Ualbai U. 34 2002 On the Lie structure of the skew elements of a simple superalgebra with superinvolution. Zbl 0916.17007Gómez-Ambrosi, Carlos; Shestakov, Ivan P. 32 1998 The Nagata automorphism is wild. Zbl 1065.13010Shestakov, Ivan P.; Umirbaev, Ualbai U. 32 2003 On local finiteness in the sense of Shirshov. Zbl 0289.17001Zhevlakov, K. A.; Shestakov, I. P. 26 1974 Quantization of Poisson superalgebras and speciality of Jordan Poisson superalgebras. Zbl 0826.17013Shestakov, I. P. 25 1993 Finite-dimensional non-associative algebras and codimension growth. Zbl 1290.17028Giambruno, Antonio; Shestakov, Ivan; Zaicev, Mikhail 23 2011 Absolute zero-divisors and radicals of finitely generated alternative algebras. Zbl 0369.17011Shestakov, I. P. 22 1976 Prime alternative superalgebras and nilpotency of the radical of a free alternative algebra. Zbl 0713.17020Zel’manov, E. I.; Shestakov, I. P. 19 1990 On the Lie structure of the skew elements of a prime superalgebra with superinvolution. Zbl 1121.17300Gómez-Ambrosi, Carlos; Laliena, Jesús; Shestakov, Ivan P. 19 2000 Prime alternative superalgebras and nilpotence of the radical of a free alternative algebra. Zbl 0724.17022Zel’manov, E. I.; Shestakov, I. P. 17 1991 Jordan superalgebras defined by brackets. Zbl 1043.17018Martínez, Consuelo; Shestakov, Ivan; Zelmanov, Efim 17 2001 Dniester notebook: unsolved problems in the theory of rings and modules. Zbl 1288.16001Filippov, V. T.; Kharchenko, V. K.; Shestakov, I. P. 17 2006 Jordan algebras. (Иордановы алгебры.) Zbl 0343.17007Zhevlakov, K. A.; Slin’ko, A. M.; Shestakov, I. P.; Shirshov, A. I. 16 1976 Every Akivis algebra is linear. Zbl 1043.17002Shestakov, Ivan P. 15 1999 Simple special Jordan superalgebras with associative even part. Zbl 1059.17021Zhelyabin, V. N.; Shestakov, I. P. 15 2004 Superalgebras and counterexamples. Zbl 0756.17001Shestakov, I. P. 14 1991 Radicals and nilpotent elements of free alternative algebras. Zbl 0329.17005Shestakov, I. P. 14 1975 Polynomial identities of finite dimensional simple algebras. Zbl 1253.17003Shestakov, Ivan; Zaicev, Mikhail 14 2011 Free Malcev superalgebra on one odd generator. Zbl 1050.17026Shestakov, Ivan P. 13 2003 Hopf algebras in non-associative Lie theory. Zbl 1393.17001Mostovoy, J.; Pérez-Izquierdo, J. M.; Shestakov, I. P. 12 2014 Prime \((-1,1)\) and Jordan monsters and superalgebras of vector type. Zbl 1369.17029Pchelintsev, Sergey V.; Shestakov, Ivan P. 12 2015 On right alternative superalgebras. Zbl 1384.17007Picanço da Silva, Juaci; Murakami, Lucia S. I.; Shestakov, Ivan 12 2016 Some examples of nil Lie algebras. Zbl 1144.17013Shestakov, I. P.; Zelmanov, E. 12 2008 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. 11 1990 Polynomial and Poisson dependence in free Poisson algebras and free Poisson fields. Zbl 1259.17021Makar-Limanov, Leonid; Shestakov, Ivan 11 2012 Irreducible non-Lie modules for Malcev superalgebras. Zbl 0824.17005Elduque, Alberto; Shestakov, Ivan P. 10 1995 Alternative and Jordan superalgebras. Zbl 0937.17023Shestakov, I. P. 10 1999 PBW-pairs of varieties of linear algebras. Zbl 1300.17006Mikhalev, Alexander A.; Shestakov, Ivan P. 10 2014 Gradings of simple Jordan algebras and their relation to the gradings of simple associative algebras. Zbl 1054.17025Bahturin, Yuri; Shestakov, Ivan 9 2001 Nil graded self-similar algebras. Zbl 1229.17025Petrogradsky, Victor M.; Shestakov, Ivan P.; Zelmanov, Efim 9 2010 Jordan bimodules over the superalgebras \(P(n)\) and \(Q(n)\). Zbl 1195.17024Martínez, Consuelo; Shestakov, Ivan; Zelmanov, Efim 9 2010 Non-associative algebra and its applications. Proceedings of the 5th international conference, Oaxtep, Mexico, July 27–August 2, 2003. Zbl 1089.17001Sabinin, Lev V. (ed.); Sbitneva, Larissa (ed.); Shestakov, Ivan (ed.) 9 2006 Subalgebras and automorphisms of polynomial rings. Zbl 1170.14310Umirbaev, U. U.; Shestakov, I. P. 9 2002 Finitely generated special Jordan and alternative PI-algebras. Zbl 0524.17008Shestakov, I. P. 8 1983 Representations of exceptional simple alternative superalgebras of characteristic 3. Zbl 1063.17021López-Díaz, M. C.; Shestakov, Ivan P. 8 2002 A problem of Shirshov. Zbl 0399.17006Shestakov, I. P. 8 1977 Examples of self-iterating Lie algebras. II. Zbl 1253.17011Petrogradsky, V. M.; Shestakov, I. P. 8 2009 Speciality problem for Malcev algebras and Poisson Malcev algebras. Zbl 0971.17019Shestakov, Ivan P. 8 2000 Finite-dimensional algebras with a nil-basis. Zbl 0224.17001Shestakov, I. P. 8 1971 The universal multiplicative envelope of the free Malcev superalgebra on one odd generator. Zbl 1138.17015Shestakov, Ivan; Zhukavets, Natalia 8 2006 Nonassociative structures. Zbl 0713.17001Kuz’min, E. N.; Shestakov, I. P. 7 1990 Simple \((-1,1)\)-superalgebras. Zbl 0913.17003Shestakov, I. P. 7 1998 The Malcev Poisson superalgebra of the free Malcev superalgebra on one odd generator. Zbl 1161.17325Shestakov, Ivan; Zhukavets, Natalia 7 2006 The free alternative superalgebra on one odd generator. Zbl 1205.17033Shestakov, Ivan; Zhukavets, Natalia 7 2007 Jordan algebras of dimension three: geometric classification and representation type. Zbl 1232.17044Kashuba, Iryna; Shestakov, Ivan 7 2007 Quantization of Poisson algebras, and weak speciality of the Jordan superalgebras associated with them. Zbl 0832.17034Shestakov, I. P. 6 1994 Irreducible unital right alternative bimodules. Zbl 1002.17018Ikemoto Murakami, Lucia; Shestakov, Ivan 6 2001 Linear representability of Akivis algebras. Zbl 1034.17500Shestakov, I. P. 6 1999 Chevalley and Kostant theorems for Mal’tsev algebras. Zbl 1164.17025Zhelyabin, V. N.; Shestakov, I. P. 6 2007 Right representations of algebras. Zbl 0342.17003Slin’ko, A. M.; Shestakov, I. P. 5 1975 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 Self-similar associative algebras. Zbl 1293.16020Petrogradsky, V. M.; Shestakov, I. P. 5 2013 Nonassociative affine algebras. Zbl 0760.17001Polikarpov, S. V.; Shestakov, I. P. 5 1990 Irreducible bimodules over alternative algebras and superalgebras. Zbl 1397.17006Shestakov, Ivan; Trushina, Maria 5 2016 Speciality of Malcev superalgebras on one odd generator. Zbl 1162.17028Shestakov, Ivan; Zhukavets, Natalia 5 2006 On properties of the Fibonacci restricted Lie algebra. Zbl 1280.17019Petrogradsky, V. M.; Shestakov, I. P. 5 2013 Representations of exceptional simple Jordan superalgebras of characteristic 3. Zbl 1069.17011López-Díaz, M. C.; Shestakov, Ivan P. 5 2005 Prime Mal’tsev superalgebras. Zbl 0742.17007Shestakov, I. P. 4 1991 Superalgebras and counterexamples. Zbl 0777.17004Shestakov, I. P. 4 1991 Prime Mal’tsev superalgebras. Zbl 0774.17007Shestakov, I. P. 4 1993 Generalizations of Lie algebras. Zbl 1263.17006Kharchenko, V. K.; Shestakov, I. P. 4 2012 Representation type of Jordan algebras. Zbl 1219.17022Kashuba, Iryna; Ovsienko, Serge; Shestakov, Ivan 4 2011 Nilpotent Sabinin algebras. Zbl 1362.17007Mostovoy, J.; Pérez-Izquierdo, J. M.; Shestakov, I. P. 4 2014 Invariants of \(\mathrm G_2\) and Spin(7) in positive characteristic. Zbl 1396.14042Zubkov, A. N.; Shestakov, I. P. 4 2018 Free generic Poisson fields and algebras. Zbl 1434.17027Kaygorodov, Ivan; Shestakov, Ivan; Umirbaev, Ualbai 4 2018 Speciality of Lie-Jordan algebras. Zbl 0988.17026Grishkov, A. N.; Shestakov, Ivan P. 4 2001 Moufang loops and alternative algebras. Zbl 1038.17024Shestakov, Ivan P. 4 2004 Skew-symmetric identities of octonions. Zbl 1241.17033Shestakov, Ivan; Zhukavets, Natalia 4 2009 A non-associative Baker-Campbell-Hausdorff formula. Zbl 1428.17002Mostovoy, J.; Pérez-Izquierdo, J. M.; Shestakov, I. P. 3 2017 Nonassociative affine algebras. Zbl 0786.17002Polikarpov, S. V.; Shestakov, I. P. 3 1990 Finitely generated special Jordan algebras and alternative PI-algebras. Zbl 0549.17013Shestakov, I. P. 3 1985 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 Quantization of Poisson superalgebras and speciality of Jordan Poisson superalgebras. Zbl 0826.17012Shestakov, Ivan 3 1994 Automorphic equivalence of the representations of Lie algebras. Zbl 1358.17010Shestakov, I.; Tsurkov, A. 3 2013 Representations of alternative algebras and superalgebras. Zbl 1279.17006Trushina, M. N.; Shestakov, I. P. 3 2012 Jordan gradings on associative algebras. Zbl 1237.16040Bahturin, Yuri; Brešar, Matej; Shestakov, Ivan 3 2011 The Freiheitssatz for generic Poisson algebras. Zbl 1346.17003Kolesnikov, Pavel S.; Makar-Limanov, Leonid G.; Shestakov, Ivan P. 3 2014 On speciality of Jordan brackets. Zbl 1185.17024Shestakov, Ivan 3 2009 Irreductible representations of the simple Jordan superalgebra of Grassmann Poisson bracket. Zbl 1344.17026Solarte, Olmer Folleco; Shestakov, Ivan 3 2016 Finite-dimensional algebras with a nil-basis. Zbl 0233.17001Shestakov, I. P. 3 1972 Certain classes of noncommutative Jordan rings. Zbl 0259.17001Shestakov, I. P. 3 1973 Group gradings on associative superalgebras. Zbl 1154.16305Bahturin, Y. A.; Shestakov, I. P. 3 2006 Simple finite-dimensional noncommutative Jordan superalgebras of characteristic 0. Zbl 1276.17017Pozhidaev, A. P.; Shestakov, I. P. 3 2013 On associative algebras satisfying the identity \(x^5=0\). Zbl 1067.16044Shestakov, Ivan; Zhukavets, Natalia 3 2004 A characterization of Lie algebras of skew-symmetric elements. Zbl 1109.17011Grishkov, A. N.; Shestakov, I. P. 3 2005 Commutative Moufang loops and alternative algebras. Zbl 1243.20076Grishkov, Alexander N.; Shestakov, Ivan P. 3 2011 Solvable alternative algebras. Zbl 0714.17023Shestakov, I. P. 2 1989 In memory of Anatolij Illarionovich Shirshov. Zbl 0468.01012Bokut’, L. A.; Ershov, Yu. L.; Kolmogorov, A. N.; Kostrikin, A. I.; Kuz’min, E. N.; Latyshev, V. N.; Sobolev, S. L.; Shestakov, I. P. 2 1981 Nonassociative rings. Zbl 0486.17001Bakhturin, Yu. A.; Slin’ko, A. M.; Shestakov, I. P. 2 1981 Alternative algebras with identity \([x,y]^n=0\). Zbl 0499.17013Shestakov, I. P. 2 1982 Prime non-Lie modules for Malcev superalgebras. Zbl 0824.17003Shestakov, I. P.; Elduque, A. 2 1994 On Jordan doubles of slow growth of Lie superalgebras. Zbl 1437.17011Petrogradsky, Victor; Shestakov, I. P. 1 2019 Invariants of \(\mathrm G_2\) and Spin(7) in positive characteristic. Zbl 1396.14042Zubkov, A. N.; Shestakov, I. P. 4 2018 Free generic Poisson fields and algebras. Zbl 1434.17027Kaygorodov, Ivan; Shestakov, Ivan; Umirbaev, Ualbai 4 2018 On associative representations of non-associative algebras. Zbl 1422.17028Kornev, A. I.; Shestakov, I. P. 2 2018 A non-associative Baker-Campbell-Hausdorff formula. Zbl 1428.17002Mostovoy, J.; Pérez-Izquierdo, J. M.; Shestakov, I. P. 3 2017 Constants of partial derivations and primitive operations. Zbl 1422.08001Pchelintsev, S. V.; Shestakov, I. P. 2 2017 On right alternative superalgebras. Zbl 1384.17007Picanço da Silva, Juaci; Murakami, Lucia S. I.; Shestakov, Ivan 12 2016 Irreducible bimodules over alternative algebras and superalgebras. Zbl 1397.17006Shestakov, Ivan; Trushina, Maria 5 2016 Irreductible representations of the simple Jordan superalgebra of Grassmann Poisson bracket. Zbl 1344.17026Solarte, Olmer Folleco; Shestakov, Ivan 3 2016 On commuting \(U\)-operators in Jordan algebras. Zbl 1378.17048Shestakov, Ivan 1 2016 Prime \((-1,1)\) and Jordan monsters and superalgebras of vector type. Zbl 1369.17029Pchelintsev, Sergey V.; Shestakov, Ivan P. 12 2015 Co-Moufang deformations of the universal enveloping algebra of the algebra of traceless octonions. Zbl 1395.17077Pérez-Izquierdo, José M.; Shestakov, Ivan P. 1 2015 Hopf algebras in non-associative Lie theory. Zbl 1393.17001Mostovoy, J.; Pérez-Izquierdo, J. M.; Shestakov, I. P. 12 2014 PBW-pairs of varieties of linear algebras. Zbl 1300.17006Mikhalev, Alexander A.; Shestakov, Ivan P. 10 2014 Nilpotent Sabinin algebras. Zbl 1362.17007Mostovoy, J.; Pérez-Izquierdo, J. M.; Shestakov, I. P. 4 2014 The Freiheitssatz for generic Poisson algebras. Zbl 1346.17003Kolesnikov, Pavel S.; Makar-Limanov, Leonid G.; Shestakov, Ivan P. 3 2014 Self-similar associative algebras. Zbl 1293.16020Petrogradsky, V. M.; Shestakov, I. P. 5 2013 On properties of the Fibonacci restricted Lie algebra. Zbl 1280.17019Petrogradsky, V. M.; Shestakov, I. P. 5 2013 Automorphic equivalence of the representations of Lie algebras. Zbl 1358.17010Shestakov, I.; Tsurkov, A. 3 2013 Simple finite-dimensional noncommutative Jordan superalgebras of characteristic 0. Zbl 1276.17017Pozhidaev, A. P.; Shestakov, I. P. 3 2013 Associative nil-algebras over finite fields. Zbl 1298.16011Lopatin, Artem A.; Shestakov, Ivan P. 2 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. 1 2013 Polynomial and Poisson dependence in free Poisson algebras and free Poisson fields. Zbl 1259.17021Makar-Limanov, Leonid; Shestakov, Ivan 11 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 Finite-dimensional non-associative algebras and codimension growth. Zbl 1290.17028Giambruno, Antonio; Shestakov, Ivan; Zaicev, Mikhail 23 2011 Polynomial identities of finite dimensional simple algebras. Zbl 1253.17003Shestakov, Ivan; Zaicev, Mikhail 14 2011 Representation type of Jordan algebras. Zbl 1219.17022Kashuba, Iryna; Ovsienko, Serge; Shestakov, Ivan 4 2011 Jordan gradings on associative algebras. Zbl 1237.16040Bahturin, Yuri; Brešar, Matej; Shestakov, Ivan 3 2011 Commutative Moufang loops and alternative algebras. Zbl 1243.20076Grishkov, Alexander N.; Shestakov, Ivan P. 3 2011 On speciality of binary-Lie algebras. Zbl 1242.17028Arenas, Manuel; Shestakov, Ivan 1 2011 Nil graded self-similar algebras. Zbl 1229.17025Petrogradsky, Victor M.; Shestakov, Ivan P.; Zelmanov, Efim 9 2010 Jordan bimodules over the superalgebras \(P(n)\) and \(Q(n)\). Zbl 1195.17024Martínez, Consuelo; Shestakov, Ivan; Zelmanov, Efim 9 2010 Structurable superalgebras of Cartan type. Zbl 1238.17004Pozhidaev, A. P.; Shestakov, I. P. 2 2010 On the center of the universal enveloping algebra of the central simple non-Lie Malcev algebras in characteristic \(p\). Zbl 1259.17026Pérez-Izquierdo, José M.; Shestakov, Ivan P. 2 2010 Structurable superalgebras of Cartan type. Zbl 1201.17013Pozhidaev, Alexander P.; Shestakov, Ivan P. 2 2010 Noncommutative Jordan superalgebras of degree \(n \geq 2\). Zbl 1219.17001Pozhidaev, A. P.; Shestakov, I. P. 1 2010 Examples of self-iterating Lie algebras. II. Zbl 1253.17011Petrogradsky, V. M.; Shestakov, I. P. 8 2009 Skew-symmetric identities of octonions. Zbl 1241.17033Shestakov, Ivan; Zhukavets, Natalia 4 2009 On speciality of Jordan brackets. Zbl 1185.17024Shestakov, Ivan 3 2009 Some examples of nil Lie algebras. Zbl 1144.17013Shestakov, I. P.; Zelmanov, E. 12 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 The free alternative superalgebra on one odd generator. Zbl 1205.17033Shestakov, Ivan; Zhukavets, Natalia 7 2007 Jordan algebras of dimension three: geometric classification and representation type. Zbl 1232.17044Kashuba, Iryna; Shestakov, Ivan 7 2007 Chevalley and Kostant theorems for Mal’tsev algebras. Zbl 1164.17025Zhelyabin, V. N.; Shestakov, I. P. 6 2007 Dniester notebook: unsolved problems in the theory of rings and modules. Zbl 1288.16001Filippov, V. T.; Kharchenko, V. K.; Shestakov, I. P. 17 2006 Non-associative algebra and its applications. Proceedings of the 5th international conference, Oaxtep, Mexico, July 27–August 2, 2003. Zbl 1089.17001Sabinin, Lev V.; Sbitneva, Larissa; Shestakov, Ivan 9 2006 The universal multiplicative envelope of the free Malcev superalgebra on one odd generator. Zbl 1138.17015Shestakov, Ivan; Zhukavets, Natalia 8 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 5 2006 Group gradings on associative superalgebras. Zbl 1154.16305Bahturin, Y. A.; Shestakov, I. P. 3 2006 Gradings on simple Jordan and Lie algebras. Zbl 1066.17018Bahturin, Y. A.; Shestakov, I. P.; Zaicev, M. V. 51 2005 Representations of exceptional simple Jordan superalgebras of characteristic 3. Zbl 1069.17011López-Díaz, M. C.; Shestakov, Ivan P. 5 2005 A characterization of Lie algebras of skew-symmetric elements. Zbl 1109.17011Grishkov, A. N.; Shestakov, I. P. 3 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. 124 2004 Poisson brackets and two-generated subalgebras of rings of polynomials. Zbl 1044.17014Shestakov, Ivan P.; Umirbaev, Ualbai U. 62 2004 An envelope for Malcev algebras. Zbl 1077.17027Pérez-Izquierdo, José M.; Shestakov, Ivan P. 35 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. 4 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. 32 2003 Free Malcev superalgebra on one odd generator. Zbl 1050.17026Shestakov, Ivan P. 13 2003 Free Akivis algebras, primitive elements, and hyperalgebras. Zbl 0993.17002Shestakov, Ivan P.; Umirbaev, Ualbai U. 34 2002 Subalgebras and automorphisms of polynomial rings. Zbl 1170.14310Umirbaev, U. U.; Shestakov, I. P. 9 2002 Representations of exceptional simple alternative superalgebras of characteristic 3. Zbl 1063.17021López-Díaz, M. C.; Shestakov, Ivan P. 8 2002 Jordan superalgebras defined by brackets. Zbl 1043.17018Martínez, Consuelo; Shestakov, Ivan; Zelmanov, Efim 17 2001 Gradings of simple Jordan algebras and their relation to the gradings of simple associative algebras. Zbl 1054.17025Bahturin, Yuri; Shestakov, Ivan 9 2001 Irreducible unital right alternative bimodules. Zbl 1002.17018Ikemoto Murakami, Lucia; Shestakov, Ivan 6 2001 Speciality of Lie-Jordan algebras. Zbl 0988.17026Grishkov, A. N.; Shestakov, Ivan P. 4 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. 19 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. 2 2000 Every Akivis algebra is linear. Zbl 1043.17002Shestakov, Ivan P. 15 1999 Alternative and Jordan superalgebras. Zbl 0937.17023Shestakov, I. P. 10 1999 Linear representability of Akivis algebras. Zbl 1034.17500Shestakov, I. P. 6 1999 Bernstein superalgebras and supermodules. Zbl 0987.17017González, S.; López-Díaz, M. C.; Martínez, C.; Shestakov, Ivan P. 1 1999 On the Lie structure of the skew elements of a simple superalgebra with superinvolution. Zbl 0916.17007Gómez-Ambrosi, Carlos; Shestakov, Ivan P. 32 1998 Simple \((-1,1)\)-superalgebras. Zbl 0913.17003Shestakov, I. P. 7 1998 Prime alternative superalgebras of arbitrary characteristic. Zbl 0904.17025Shestakov, I. P. 35 1997 Alternative and Jordan superalgebras. Zbl 0902.17017Shestakov, I. P. 2 1997 On invariants of \(F_ 4\) and the center of the Albert algebra. Zbl 0851.17033Iltyakov, A. V.; Shestakov, I. P. 3 1996 Irreducible non-Lie modules for Malcev superalgebras. Zbl 0824.17005Elduque, Alberto; Shestakov, Ivan P. 10 1995 Some results by A. I. Shirshov and his school. Zbl 0841.16002Bokut’, L. A.; Shestakov, I. P. 2 1995 Quantization of Poisson algebras, and weak speciality of the Jordan superalgebras associated with them. Zbl 0832.17034Shestakov, I. P. 6 1994 Quantization of Poisson superalgebras and speciality of Jordan Poisson superalgebras. Zbl 0826.17012Shestakov, Ivan 3 1994 Prime non-Lie modules for Malcev superalgebras. Zbl 0824.17003Shestakov, I. P.; Elduque, A. 2 1994 Quantization of Poisson superalgebras and speciality of Jordan Poisson superalgebras. Zbl 0826.17013Shestakov, I. P. 25 1993 Prime Mal’tsev superalgebras. Zbl 0774.17007Shestakov, I. P. 4 1993 On Malcev superalgebras with trivial Lie nucleus. Zbl 0867.17028Elduque, Alberto; Shestakov, Ivan P. 2 1993 The Dniester notebook. Unsolved problems in the theory of rings and modules. 4th ed. (Днестровская тетрад’. Нерешенные проблемы теории колец и модулей.) Zbl 0868.16001Filippov, V. T.; Kharchenko, V. K.; Shestakov, I. P. 1 1993 Superalgebras as a building material for constructing counterexamples. Zbl 0789.17003Shestakov, I. P. 1 1992 Prime alternative superalgebras and nilpotence of the radical of a free alternative algebra. Zbl 0724.17022Zel’manov, E. I.; Shestakov, I. P. 17 1991 Superalgebras and counterexamples. Zbl 0756.17001Shestakov, I. P. 14 1991 Prime Mal’tsev superalgebras. Zbl 0742.17007Shestakov, I. P. 4 1991 Superalgebras and counterexamples. Zbl 0777.17004Shestakov, I. P. 4 1991 Prime alternative superalgebras and nilpotency of the radical of a free alternative algebra. Zbl 0713.17020Zel’manov, E. I.; Shestakov, I. P. 19 1990 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. 11 1990 ...and 30 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 699 Authors 72 Shestakov, Ivan Pavlovich 44 Pchelintsev, Sergeĭ Valentinovich 29 Elduque, Alberto 27 Umirbaev, Ualbaĭ Utmakhanbetovich 23 Zaĭtsev, Mikhail Vladimirovich 23 Zel’manov, Efim Isaakovich 21 Bremner, Murray R. 21 Pérez-Izquierdo, José María 21 Zhelyabin, Viktor Nikolaevich 19 Hentzel, Irvin Roy 18 Bahturin, Yuri 17 Martínez López, Consuelo 16 Calderón Martín, Antonio Jesús 16 Shashkov, Oleg Vladimirovich 16 Yu, Jie-Tai 15 Drensky, Vesselin 14 Koshlukov, Plamen Emilov 14 Peresi, Luiz Antonio 14 Repovš, Dušan D. 12 Laliena, Jesús A. 12 Martín González, Cándido 11 Brešar, Matej 11 Kaĭgorodov, Ivan B. 11 Kochetov, Mikhail Viktorovich 11 Kuroda, Shigeru 10 Anquela, José Angel 10 Labra, Alicia 10 Makar-Limanov, Leonid G. 10 Slinko, Arkadii M. 10 Sun, Xiaosong 9 Draper, Cristina 9 Filippov, V. T. 9 Mikhalëv, Aleksandr Vasil’evich 8 Cortés, Teresa 8 Giambruno, Antonio 8 Kanel’-Belov, Alekseĭ Yakovlevich 8 Madariaga, Sara 8 Mostovoy, Jacob 8 Petrogradsky, Victor Mikhaylovich 8 Sverchkov, Sergei Robertovich 8 Zhukavets, Natalia 7 Beidar, Konstantin Igorevich 7 Grishkov, Alexander Nikolaevich 7 Kashuba, Iryna 7 López-Díaz, María Concepción 7 Maubach, Stefan 7 Medvedev, Yuri A. 7 Rodríguez Palacios, Angel 7 Yasumura, Felipe Yukihide 6 Alonso Álvarez, José Nicanor 6 Correa, Ivan 6 Cuenca Mira, José Antonio 6 Edo, Eric 6 Fernández López, Antonio 6 Goodaire, Edgar G. 6 Guzzo, Henrique jun. 6 Il’tyakov, A. V. 6 McCrimmon, Kevin 6 Mishchenko, Sergeĭ Petrovich 6 Mo, Qiuhui 6 Pozhidaev, Aleksandr Petrovich 6 Tuganbaev, Askar Akanovich 6 Varro, Richard 6 Wang, Yu 5 Arenas, Manuel 5 Benayadi, Saïd 5 Bokut, Leonid A. 5 Fernández Vilaboa, José Manuel 5 Golubkov, Artem Yu. 5 González Rodríguez, Ramón 5 González, Santos 5 Gordienko, Alekseĭ Sergeevich 5 Gubarev, Vsevolod Yur’evich 5 Li, Yu 5 Markov, Viktor T. 5 Montaner, Fernando 5 Myung, Hyo Chul 5 Ouattara, Moussa 5 Popov, Yury 5 Skosyrskiĭ, Vladimir Grigor’evich 5 Suazo, Avelino 5 Zakharov, Anton Stanislavovich 5 Zitan, Fouad 4 Albuquerque, Helena 4 Aranda Orna, Diego 4 Behboodi, Mahmood 4 Behn, Antonio 4 Benito, Pilar 4 Boudi, Nadia 4 Cabrera García, Miguel 4 Chen, Yuqun 4 Di Vincenzo, Onofrio Mario 4 García González, Esther 4 Goméz Lozano, Miguel Ángel 4 Goncharov, Maksim E. 4 Ioppolo, Antonio 4 Isaev, Ismail Musaevich 4 Kaidi, El Amin Mokhtar 4 Kislitsin, A. V. 4 Kolesnikov, Pavel Sergeevich ...and 599 more Authors all top 5 Cited in 139 Serials 179 Journal of Algebra 153 Communications in Algebra 83 Algebra and Logic 60 Siberian Mathematical Journal 37 Linear Algebra and its Applications 32 Journal of Mathematical Sciences (New York) 31 Journal of Pure and Applied Algebra 29 Mathematical Notes 27 Journal of Algebra and its Applications 20 International Journal of Algebra and Computation 19 Proceedings of the American Mathematical Society 16 Advances in Mathematics 15 Transactions of the American Mathematical Society 13 Analysis Mathematica 13 Algebras and Representation Theory 10 Algebra Colloquium 10 Sibirskie Èlektronnye Matematicheskie Izvestiya 9 Israel Journal of Mathematics 9 Linear and Multilinear Algebra 8 Transformation Groups 7 São Paulo Journal of Mathematical Sciences 6 Journal of Mathematical Physics 6 Theoretical and Mathematical Physics 6 Mathematische Zeitschrift 5 Journal of Soviet Mathematics 4 Journal of Geometry and Physics 4 Journal of Symbolic Computation 4 Revista Matemática Iberoamericana 4 Izvestiya: Mathematics 4 Doklady Mathematics 4 Mediterranean Journal of Mathematics 3 Acta Mathematica Academiae Scientiarum Hungaricae 3 Bulletin of the Australian Mathematical Society 3 Letters in Mathematical Physics 3 Nuclear Physics. 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Second Series 1 Bulletin of the Iranian Mathematical Society 1 Physica D 1 Journal of Automated Reasoning 1 Publicacions Matemàtiques ...and 39 more Serials all top 5 Cited in 46 Fields 755 Nonassociative rings and algebras (17-XX) 308 Associative rings and algebras (16-XX) 103 Algebraic geometry (14-XX) 89 Group theory and generalizations (20-XX) 68 Commutative algebra (13-XX) 30 Linear and multilinear algebra; matrix theory (15-XX) 27 General algebraic systems (08-XX) 27 Functional analysis (46-XX) 24 Category theory; homological algebra (18-XX) 17 Computer science (68-XX) 15 Quantum theory (81-XX) 12 Number theory (11-XX) 12 Differential geometry (53-XX) 11 Topological groups, Lie groups (22-XX) 10 Mathematical logic and foundations (03-XX) 10 Combinatorics (05-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Partial differential equations (35-XX) 8 Field theory and polynomials (12-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 7 Several complex variables and analytic spaces (32-XX) 7 Approximations and expansions (41-XX) 6 History and biography (01-XX) 6 Operator theory (47-XX) 4 Manifolds and cell complexes (57-XX) 4 Information and communication theory, circuits (94-XX) 3 General topology (54-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Numerical analysis (65-XX) 3 Operations research, mathematical programming (90-XX) 2 \(K\)-theory (19-XX) 2 Geometry (51-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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