Edit Profile Golubchik, Igor Z. Compute Distance To: Compute Author ID: golubchik.igor-z Published as: Golubchik, I. Z.; Golubchik, Igor Z. External Links: MGP · Wikidata Documents Indexed: 37 Publications since 1978 Co-Authors 9 single-authored 14 Mikhalëv, Aleksandr Vasil’evich 11 Sokolov, Vladimir Vyacheslavovich 2 Markov, Viktor T. 1 Murseeva, A. I. all top 5 Serials 6 Theoretical and Mathematical Physics 4 Russian Mathematical Surveys 4 Journal of Soviet Mathematics 4 Fundamental’naya i Prikladnaya Matematika 3 Moscow University Mathematics Bulletin 3 Functional Analysis and its Applications 2 Uspekhi Matematicheskikh Nauk [N. S.] 2 Journal of Algebra 2 Journal of Nonlinear Mathematical Physics 2 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 1 Trudy Seminara Imeni I. G. Petrovskogo 1 Journal of Mathematical Sciences (New York) all top 5 Fields 19 Group theory and generalizations (20-XX) 16 Associative rings and algebras (16-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Nonassociative rings and algebras (17-XX) 3 Partial differential equations (35-XX) 2 General algebraic systems (08-XX) 1 Topological groups, Lie groups (22-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 28 Publications have been cited 211 times in 144 Documents Cited by ▼ Year ▼ Isomorphisms of a complete linear group over an associative ring. Zbl 0534.20033Golubchik, I. Z.; Mikhalev, A. V. 28 1983 Generalized operator Yang-Baxter equations, integrable ODEs and nonassociative algebras. Zbl 1119.37318Golubchik, I. Z.; Sokolov, V. V. 21 2000 A note on varieties of semiprime rings with semigroup identities. Zbl 0389.16006Golubchik, Igor Z.; Mikhalev, Alexander 16 1978 Multicomponent generalization of the hierarchy of the Landau-Lifshits equation. Zbl 1112.37324Golubchik, I. Z.; Sokolov, V. V. 14 2000 Compatible Lie brackets and integrable equations of the principal chiral model type. Zbl 1022.17024Golubchik, I. Z.; Sokolov, V. V. 11 2002 Isomorphisms of the general linear group \(GL_ n(R)\), \(n \geq 4\) over an associative ring. Zbl 0765.20023Golubchik, I. Z. 11 1992 Groups of Lie type over PI-rings. Zbl 0903.20026Golubchik, I. Z. 10 1997 On some generalizations of the factorization method. Zbl 0922.58034Golubchik, I. Z.; Sokolov, V. V. 9 1997 Compatible Lie brackets and the Yang-Baxter equation. Zbl 1177.37067Golubchik, I. Z.; Sokolov, V. V. 8 2006 One more kind of the classical Yang-Baxter equation. Zbl 1156.17306Golubchik, I. Z.; Sokolov, V. V. 7 2000 On subgroups of the general linear group \(GL_ n(R)\) over an associative ring R. Zbl 0572.20031Golubchik, I. Z. 7 1984 On varieties of algebras with semigroup identity. Zbl 0502.16014Golubchik, I. Z.; Mikhalev, A. V. 7 1982 Generalized group identities in classical groups. Zbl 0498.20030Golubchik, I. Z.; Mikhalev, A. V. 7 1982 Epimorphisms of projective groups over associative rings. Zbl 0529.20033Golubchik, I. Z.; Mikhalev, A. V. 6 1982 Factorization of the loop algebras and compatible Lie brackets. Zbl 1362.17039Golubchik, I. Z.; Sokolov, V. V. 5 2005 Factorization of the loop algebra and integrable toplike systems. Zbl 1178.37075Golubchik, I. Z.; Sokolov, V. V. 5 2004 Elementary subgroup of a unitary group over a PI-ring. Zbl 0571.20035Golubchik, I. Z.; Mikhalev, A. V. 5 1985 Isomorphisms of unitary groups over associative rings. Zbl 0566.20033Golubchik, I. Z.; Mikhalev, A. V. 5 1985 Integrable equations on \(\mathbb Z\)-graded Lie algebras. Zbl 0968.35524Golubchik, I. Z.; Sokolov, V. V. 4 1997 Generalized group identities in classical groups. Zbl 0548.20029Golubchik, I. Z.; Mikhalev, A. V. 4 1984 The group of units of Goldie prime rings. Zbl 0415.16007Golubchik, I. Z. 4 1978 Generalized Heisenberg equations on \(\mathbb{Z}\)-graded Lie algebras. Zbl 0999.37050Golubchik, I. Z.; Sokolov, V. V. 3 1999 Isomorphisms of projective groups over associative rings. Zbl 0867.20038Golubchik, I. Z. 3 1995 Localization dimension of PI-rings. Zbl 0467.16026Golubchik, I. Z.; Markov, V. T. 3 1981 Integrable systems generated by a constant solution of the Yang-Baxter equation. Zbl 0895.35097Golubchik, I. Z.; Sokolov, V. V. 2 1996 On the general linear group over weakly Noetherian associative algebras. Zbl 0867.20037Golubchik, I. Z. 2 1995 On the group of elementary matrices over PI-rings. Zbl 0733.20032Golubchik, I. Z.; Mikhalev, A. V. 2 1984 Verallgemeinerte Gruppenidentitäten in klassischen Gruppen. Zbl 0455.20032Golubchik, I. Z.; Mikhalev, A. V. 2 1980 Compatible Lie brackets and the Yang-Baxter equation. Zbl 1177.37067Golubchik, I. Z.; Sokolov, V. V. 8 2006 Factorization of the loop algebras and compatible Lie brackets. Zbl 1362.17039Golubchik, I. Z.; Sokolov, V. V. 5 2005 Factorization of the loop algebra and integrable toplike systems. Zbl 1178.37075Golubchik, I. Z.; Sokolov, V. V. 5 2004 Compatible Lie brackets and integrable equations of the principal chiral model type. Zbl 1022.17024Golubchik, I. Z.; Sokolov, V. V. 11 2002 Generalized operator Yang-Baxter equations, integrable ODEs and nonassociative algebras. Zbl 1119.37318Golubchik, I. Z.; Sokolov, V. V. 21 2000 Multicomponent generalization of the hierarchy of the Landau-Lifshits equation. Zbl 1112.37324Golubchik, I. Z.; Sokolov, V. V. 14 2000 One more kind of the classical Yang-Baxter equation. Zbl 1156.17306Golubchik, I. Z.; Sokolov, V. V. 7 2000 Generalized Heisenberg equations on \(\mathbb{Z}\)-graded Lie algebras. Zbl 0999.37050Golubchik, I. Z.; Sokolov, V. V. 3 1999 Groups of Lie type over PI-rings. Zbl 0903.20026Golubchik, I. Z. 10 1997 On some generalizations of the factorization method. Zbl 0922.58034Golubchik, I. Z.; Sokolov, V. V. 9 1997 Integrable equations on \(\mathbb Z\)-graded Lie algebras. Zbl 0968.35524Golubchik, I. Z.; Sokolov, V. V. 4 1997 Integrable systems generated by a constant solution of the Yang-Baxter equation. Zbl 0895.35097Golubchik, I. Z.; Sokolov, V. V. 2 1996 Isomorphisms of projective groups over associative rings. Zbl 0867.20038Golubchik, I. Z. 3 1995 On the general linear group over weakly Noetherian associative algebras. Zbl 0867.20037Golubchik, I. Z. 2 1995 Isomorphisms of the general linear group \(GL_ n(R)\), \(n \geq 4\) over an associative ring. Zbl 0765.20023Golubchik, I. Z. 11 1992 Elementary subgroup of a unitary group over a PI-ring. Zbl 0571.20035Golubchik, I. Z.; Mikhalev, A. V. 5 1985 Isomorphisms of unitary groups over associative rings. Zbl 0566.20033Golubchik, I. Z.; Mikhalev, A. V. 5 1985 On subgroups of the general linear group \(GL_ n(R)\) over an associative ring R. Zbl 0572.20031Golubchik, I. Z. 7 1984 Generalized group identities in classical groups. Zbl 0548.20029Golubchik, I. Z.; Mikhalev, A. V. 4 1984 On the group of elementary matrices over PI-rings. Zbl 0733.20032Golubchik, I. Z.; Mikhalev, A. V. 2 1984 Isomorphisms of a complete linear group over an associative ring. Zbl 0534.20033Golubchik, I. Z.; Mikhalev, A. V. 28 1983 On varieties of algebras with semigroup identity. Zbl 0502.16014Golubchik, I. Z.; Mikhalev, A. V. 7 1982 Generalized group identities in classical groups. Zbl 0498.20030Golubchik, I. Z.; Mikhalev, A. V. 7 1982 Epimorphisms of projective groups over associative rings. Zbl 0529.20033Golubchik, I. Z.; Mikhalev, A. V. 6 1982 Localization dimension of PI-rings. Zbl 0467.16026Golubchik, I. Z.; Markov, V. T. 3 1981 Verallgemeinerte Gruppenidentitäten in klassischen Gruppen. Zbl 0455.20032Golubchik, I. Z.; Mikhalev, A. V. 2 1980 A note on varieties of semiprime rings with semigroup identities. Zbl 0389.16006Golubchik, Igor Z.; Mikhalev, Alexander 16 1978 The group of units of Goldie prime rings. Zbl 0415.16007Golubchik, I. Z. 4 1978 all cited Publications top 5 cited Publications all top 5 Cited by 150 Authors 13 Bunina, E. I. 13 Mikhalëv, Aleksandr Vasil’evich 12 Vavilov, Nikolaĭ Aleksandrovich 11 Bai, Chengming 9 Sokolov, Vladimir Vyacheslavovich 8 Golubchik, Igor Z. 8 Stepanov, Alexeĭ Vladimirovich 5 Atkarskaya, A. S. 5 Beidar, Konstantin Igorevich 4 Guo, Li 4 Skrypnyk, Taras Volodymyrovych 3 Balakhnev, M. Yu. 3 Fong, Yuen 3 Kupershmidt, Boris A. 3 Leach, Peter Gavin Lawrence 3 Petechuk, Vasilij M. 3 Zhang, Yong 2 Balakhnev, Maxim Ju. 2 Ebrahimi-Fard, Kurusch 2 Kazakevich, V. G. 2 Ke, Wen-Fong 2 Kulikov, A. N. 2 Lei, Peng 2 Liu, Jiefeng 2 Markov, Viktor T. 2 Meshkov, Anatoly G. 2 Odesskii, Alexander 2 Petrov, Viktor 2 Plotkin, Eugene 2 Sheng, Yunhe 2 Skornyakov, Lev Anatolevich 2 Tuganbaev, Askar Akanovich 2 Valchev, Tihomir I. 2 Vaserstein, Leonid N. 2 Volkov, Mikhail Vladimirovich 2 Yanovski, Aleksandar B. 1 Adler, Vsevolod Eduardovich 1 Amaglobeli, Mikhail Georgievich 1 Anan’evskii, A. S. 1 Anders, Igor 1 Bak, Anthony 1 Balaba, Irina Nikolaevna 1 Balmasov, E. S. 1 Bardini, Carla 1 Bian, Dongping 1 Bokut, Leonid A. 1 Bolla, Michael L. 1 Bolsinov, Alexey V. 1 Boutet de Monvel, Anne Marie 1 Bragin, V. A. 1 Casas Miras, José Manuel 1 Chandrasekar, V. K. 1 Chen, Yu 1 Cotsakis, Spiros 1 Crâşmăreanu, Mircea 1 Dmitrieva, V. V. 1 Dobrogowska, Alina 1 Ernst, Thomas 1 Fazylov, Valeriĭ Raufovich 1 Finogenova, Olga B. 1 Flessas, George P. 1 Fox, Daniel J. F. 1 Fritzsche, Bernd 1 Gao, Xing 1 Gao, Xu 1 Gladkov, A. V. 1 Golubkov, Artem Yu. 1 Gordeev, Nikolai L. 1 Grigor’eva, I. S. 1 Gubarev, Vsevolod Yur’evich 1 Guo, Xiangqian 1 Gürses, Metin 1 Hazrat, Roozbeh 1 Hong, Yanyong 1 Hou, Dongping 1 Huang, Liping 1 Igonin, Sergeĭ Aleksandrovich 1 Ismagilova, A. S. 1 Jing, Naihuan 1 Kaashoek, Marinus Adriaan 1 Kaleeva, Galina A. 1 Kang, Yifang 1 Karasu, Atalay 1 Karasu, Ayşe 1 Khudoyberdiyev, Abror Kh. 1 Kirpichnikova, N. Ya. 1 Kirstein, Bernd 1 Kiselev, Aleksei P. 1 Klyachko, Anton Aleksandrovich 1 Kong, Xiaoli 1 Krasilnikov, Alexei N. 1 Kreimer, Dirk 1 Kunyavskiĭ, Boris Èmmanuilovich 1 Ladra González, Manuel 1 Lakshmanan, Muthusamy 1 Latyshev, Viktor Nikolaevich 1 Lechtenfeld, Olaf 1 Leroux, Philippe 1 Li, Fang 1 Liu, Ligong ...and 50 more Authors all top 5 Cited in 39 Serials 30 Journal of Mathematical Sciences (New York) 12 Journal of Algebra 12 Journal of Nonlinear Mathematical Physics 10 Theoretical and Mathematical Physics 8 Communications in Algebra 6 Journal of Mathematical Physics 6 Mathematical Notes 6 Journal of Soviet Mathematics 4 Journal of Geometry and Physics 4 Algebra and Logic 4 St. Petersburg Mathematical Journal 3 Letters in Mathematical Physics 3 Siberian Mathematical Journal 3 Acta Applicandae Mathematicae 3 Science China. Mathematics 2 Communications in Mathematical Physics 2 Journal of Pure and Applied Algebra 2 International Journal of Algebra and Computation 2 Linear Algebra and its Applications 2 Regular and Chaotic Dynamics 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal of Mathematical Analysis and Applications 1 Moscow University Mathematics Bulletin 1 Reviews in Mathematical Physics 1 Archiv der Mathematik 1 Mathematische Nachrichten 1 Proceedings of the American Mathematical Society 1 Rendiconti del Seminario Matematico della Università di Padova 1 Results in Mathematics 1 Physica D 1 Applied Mathematics Letters 1 Vestnik St. Petersburg University. Mathematics 1 Applied Categorical Structures 1 Doklady Mathematics 1 Matematychni Studiï 1 Journal of Group Theory 1 Communications in Contemporary Mathematics 1 Frontiers of Mathematics in China 1 Journal of Homotopy and Related Structures all top 5 Cited in 32 Fields 60 Group theory and generalizations (20-XX) 38 Nonassociative rings and algebras (17-XX) 29 Associative rings and algebras (16-XX) 28 Dynamical systems and ergodic theory (37-XX) 19 Partial differential equations (35-XX) 7 Quantum theory (81-XX) 6 Mathematical logic and foundations (03-XX) 6 Ordinary differential equations (34-XX) 6 Differential geometry (53-XX) 5 Mechanics of particles and systems (70-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Category theory; homological algebra (18-XX) 3 Algebraic geometry (14-XX) 3 Functional analysis (46-XX) 3 Operations research, mathematical programming (90-XX) 2 General algebraic systems (08-XX) 2 \(K\)-theory (19-XX) 2 Special functions (33-XX) 2 Difference and functional equations (39-XX) 2 Manifolds and cell complexes (57-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Topological groups, Lie groups (22-XX) 1 Operator theory (47-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Biology and other natural sciences (92-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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