Edit Profile (opens in new tab) Grishin, Aleksandr V. Co-Author Distance Author ID: grishin.aleksandr-v Published as: Grishin, A. V.; Grishin, Aleksandr V.; Grishin, Alexander V. more...less Documents Indexed: 49 Publications since 1973 Co-Authors: 60 Co-Authors with 15 Joint Publications 1,369 Co-Co-Authors all top 5 Co-Authors 34 single-authored 5 Tsybulya, L. M. 3 Pchelintsev, Sergeĭ Valentinovich 2 Artamonov, Vyacheslav Aleksandrovich 2 Kanel’-Belov, Alekseĭ Yakovlevich 2 Mikhalëv, Aleksandr Vasil’evich 2 Tsarev, Andrey Valer’evich 2 Tuganbaev, Askar Akanovich 1 Adrianov, Nikolai M. 1 Aladova, Elena V. 1 Bahturin, Yuri 1 Balaba, Irina Nikolaevna 1 Bokut, Leonid A. 1 Borisenko, Vladimir V. 1 Bunina, Elena Igor’evna 1 Chubarikov, Vladimir Nikolaevich 1 Chubarov, Igor A. 1 Deza, Elena Ivanovna 1 Dobrovol’skiĭ, Nikolaĭ Mikhaĭlovich 1 Dubrovin, Nikolaĭ Ivanovich 1 Gaifullin, Sergey A. 1 Glavatskiĭ, Sergeĭ Timofeevich 1 Golubchik, Igor Z. 1 González, Santos 1 Guterman, Alexander Èmilevich 1 Ilyina, N. K. 1 Kanunnikov, Andrei Leonidovich 1 Kharchenko, Vladislav K. 1 Kireeva, E. A. 1 Kislitsyn, E. S. 1 Klyachko, Anton Aleksandrovich 1 Kompantseva, Ekaterina Igorevna 1 Kozhukhov, Igor’ Borisovich 1 Kreĭnes, Elena M. 1 Krylov, Pëtr Andreevich 1 Kulikova, O. V. 1 Latyshev, Viktor Nikolaevich 1 Lukashenko, Taras P. 1 Markova, Olga V. 1 Martínez López, Consuelo 1 Mikhalëv, Aleksandr Aleksandrovich 1 Nesterenko, Yuriĭ Valentinovich 1 Ol’shanskiĭ, Aleksandr Yur’evich 1 Pentus, Anna Evgen’evna 1 Petrov, A. V. 1 Prokhorov, Yuriĭ Gennad’evich 1 Shafarevich, Andreĭ Igorevich 1 Shafarevich, Anton A. 1 Shchigolev, V. V. 1 Shestakov, Ivan Pavlovich 1 Shifrin, Eh. G. 1 Shirshova, Elena Evgen’evna 1 Shokola, A. A. 1 Shpilrain, V. E. 1 Surmina, L. M. 1 Tenzina, V. V. 1 Timashev, Dmitri A. 1 Tumaykin, I. N. 1 Urbakhanov, S. V. 1 Zaĭtsev, Mikhail Vladimirovich 1 Zel’manov, Efim Isaakovich all top 5 Serials 12 Journal of Mathematical Sciences (New York) 8 Russian Mathematical Surveys 6 Sbornik: Mathematics 4 Chebyshevskiĭ Sbornik 3 Mathematical Notes 2 Uspekhi Matematicheskikh Nauk [N. S.] 2 Algebra and Logic 2 Fundamental’naya i Prikladnaya Matematika 1 Communications in Algebra 1 Journal of Applied Mathematics and Mechanics 1 Algebra i Logika 1 Mathematics of the USSR. Izvestiya 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 U.S.S.R. Computational Mathematics and Mathematical Physics 1 Electronic Research Announcements of the American Mathematical Society all top 5 Fields 40 Associative rings and algebras (16-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 4 Nonassociative rings and algebras (17-XX) 3 Group theory and generalizations (20-XX) 2 History and biography (01-XX) 2 Commutative algebra (13-XX) 2 Algebraic geometry (14-XX) 2 Fluid mechanics (76-XX) 1 General algebraic systems (08-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 30 Publications have been cited 221 times in 90 Documents Cited by ▼ Year ▼ Examples of T-spaces and T-ideals over a field of characteristic \(2\) without the finite basis property. Zbl 1015.16022 Grishin, A. V. 46 1999 On centres of relatively free associative algebras with a Lie nilpotency identity. Zbl 1366.16019 Grishin, A. V.; Pchelintsev, S. V. 21 2015 On the finite basis property of abstract \(T\)-spaces. Zbl 0868.16017 Grishin, A. V. 14 1995 On non-Spechtianness of the variety of associative rings that satisfy the identity \(x^{32}=0\). Zbl 0961.16011 Grishin, A. V. 13 2000 T-spaces and their applications. Zbl 1100.16018 Grishin, A. V.; Shchigolev, V. V. 13 2006 On T-spaces and relations in relatively free Lie nilpotent associative algebras. Zbl 1290.16018 Grishin, A. V.; Tsybulya, L. M.; Shokola, A. A. 12 2011 Proper central and core polynomials of relatively free associative algebras with identity of Lie nilpotency of degrees 5 and 6. Zbl 1372.16020 Grishin, Alexander V.; Pchelintsev, Sergey V. 11 2016 On the multiplicative and T-space structure of the relatively free Grassmann algebra. Zbl 1195.16021 Grishin, A. V.; Tsybulya, L. M. 10 2009 On finitely based systems of generalized polynomials. Zbl 0731.16011 Grishin, A. V. 9 1991 On the structure of the centre of a relatively free Grassmann algebra. Zbl 1206.16013 Grishin, A. V. 8 2010 The growth index of a variety of algebras and its applications. Zbl 0644.17015 Grishin, A. V. 6 1987 Asymptotic properties of free finitely generated algebras of certain varieties. Zbl 0547.17008 Grishin, A. V. 6 1983 T-spaces. The history of the question, applications, and recent results. Zbl 1154.16302 Aladova, E. V.; Grishin, A. V.; Kireeva, E. A. 5 2004 On \(T\)-spaces of \(n\)-words over a field of characteristic \(p>0\). Zbl 1140.16305 Grishin, A. V.; Surmina, L. M. 4 2007 On the codimension in spaces of 2-words over a field of characteristic 2 and extremality properties. Zbl 1119.16305 Grishin, A. V.; Urbakhanov, S. V. 4 2002 On finite basis property of systems of generalized polynomials. Zbl 0719.16017 Grishin, A. V. 4 1990 On the center of a relatively free Lie-nilpotent algebra of index 4. Zbl 1286.16020 Grishin, A. V. 4 2012 On the measure of inclusion in relatively free algebras with the identity of Lie nilpotency of degree 3 or 4. Zbl 1447.16023 Grishin, A. V. 3 2019 Two theorems on the structure of a relatively free Grassmann algebra. Zbl 1176.16017 Grishin, A. V.; Tsybulya, L. M. 3 2008 The variety of associative rings, which satisfy the identity \(x^{32}=0\), is not Specht. Zbl 0961.16010 Grishin, A. V. 3 2000 Strongly indecomposable localizations of the ring of algebraic integers. Zbl 1331.11090 Grishin, A. V. 3 2015 \(\mathcal E\)-closed groups and modules. Zbl 1272.20058 Grishin, A. V.; Tsarev, A. V. 3 2012 On the structure of a relatively free Grassmann algebra. Zbl 1283.16021 Grishin, A. V.; Tsybulya, L. M. 3 2010 On the finite basis property of \(T\)-spaces over a field of finite characteristic. Zbl 0865.16019 Grishin, A. V. 2 1996 The growth exponent of a variety of algebras and its applications. Zbl 0667.17010 Grishin, A. V. 2 1987 The variety of associative rings is not a Specht variety. Zbl 0968.16009 Grishin, A. V. 2 1999 On the existence of a finite basis in a T-space of generalized polynomials and on representability. Zbl 1042.16012 Grishin, A. V. 2 2001 On T-spaces in a relatively free two-generated Lie nilpotent associative algebra of index 4. Zbl 1288.16030 Grishin, A. V. 2 2013 Asymptotics of the codimensions \(c_n\) in the algebra \(F^{(7)}\). Zbl 1428.16022 Grishin, A. V. 2 2018 On T-spaces and related concepts and results. Zbl 1288.16031 Grishin, A. V. 1 2009 On the measure of inclusion in relatively free algebras with the identity of Lie nilpotency of degree 3 or 4. Zbl 1447.16023 Grishin, A. V. 3 2019 Asymptotics of the codimensions \(c_n\) in the algebra \(F^{(7)}\). Zbl 1428.16022 Grishin, A. V. 2 2018 Proper central and core polynomials of relatively free associative algebras with identity of Lie nilpotency of degrees 5 and 6. Zbl 1372.16020 Grishin, Alexander V.; Pchelintsev, Sergey V. 11 2016 On centres of relatively free associative algebras with a Lie nilpotency identity. Zbl 1366.16019 Grishin, A. V.; Pchelintsev, S. V. 21 2015 Strongly indecomposable localizations of the ring of algebraic integers. Zbl 1331.11090 Grishin, A. V. 3 2015 On T-spaces in a relatively free two-generated Lie nilpotent associative algebra of index 4. Zbl 1288.16030 Grishin, A. V. 2 2013 On the center of a relatively free Lie-nilpotent algebra of index 4. Zbl 1286.16020 Grishin, A. V. 4 2012 \(\mathcal E\)-closed groups and modules. Zbl 1272.20058 Grishin, A. V.; Tsarev, A. V. 3 2012 On T-spaces and relations in relatively free Lie nilpotent associative algebras. Zbl 1290.16018 Grishin, A. V.; Tsybulya, L. M.; Shokola, A. A. 12 2011 On the structure of the centre of a relatively free Grassmann algebra. Zbl 1206.16013 Grishin, A. V. 8 2010 On the structure of a relatively free Grassmann algebra. Zbl 1283.16021 Grishin, A. V.; Tsybulya, L. M. 3 2010 On the multiplicative and T-space structure of the relatively free Grassmann algebra. Zbl 1195.16021 Grishin, A. V.; Tsybulya, L. M. 10 2009 On T-spaces and related concepts and results. Zbl 1288.16031 Grishin, A. V. 1 2009 Two theorems on the structure of a relatively free Grassmann algebra. Zbl 1176.16017 Grishin, A. V.; Tsybulya, L. M. 3 2008 On \(T\)-spaces of \(n\)-words over a field of characteristic \(p>0\). Zbl 1140.16305 Grishin, A. V.; Surmina, L. M. 4 2007 T-spaces and their applications. Zbl 1100.16018 Grishin, A. V.; Shchigolev, V. V. 13 2006 T-spaces. The history of the question, applications, and recent results. Zbl 1154.16302 Aladova, E. V.; Grishin, A. V.; Kireeva, E. A. 5 2004 On the codimension in spaces of 2-words over a field of characteristic 2 and extremality properties. Zbl 1119.16305 Grishin, A. V.; Urbakhanov, S. V. 4 2002 On the existence of a finite basis in a T-space of generalized polynomials and on representability. Zbl 1042.16012 Grishin, A. V. 2 2001 On non-Spechtianness of the variety of associative rings that satisfy the identity \(x^{32}=0\). Zbl 0961.16011 Grishin, A. V. 13 2000 The variety of associative rings, which satisfy the identity \(x^{32}=0\), is not Specht. Zbl 0961.16010 Grishin, A. V. 3 2000 Examples of T-spaces and T-ideals over a field of characteristic \(2\) without the finite basis property. Zbl 1015.16022 Grishin, A. V. 46 1999 The variety of associative rings is not a Specht variety. Zbl 0968.16009 Grishin, A. V. 2 1999 On the finite basis property of \(T\)-spaces over a field of finite characteristic. Zbl 0865.16019 Grishin, A. V. 2 1996 On the finite basis property of abstract \(T\)-spaces. Zbl 0868.16017 Grishin, A. V. 14 1995 On finitely based systems of generalized polynomials. Zbl 0731.16011 Grishin, A. V. 9 1991 On finite basis property of systems of generalized polynomials. Zbl 0719.16017 Grishin, A. V. 4 1990 The growth index of a variety of algebras and its applications. Zbl 0644.17015 Grishin, A. V. 6 1987 The growth exponent of a variety of algebras and its applications. Zbl 0667.17010 Grishin, A. V. 2 1987 Asymptotic properties of free finitely generated algebras of certain varieties. Zbl 0547.17008 Grishin, A. V. 6 1983 all cited Publications top 5 cited Publications all top 5 Cited by 61 Authors 17 Grishin, Aleksandr V. 13 Krasilnikov, Alexei N. 12 Pchelintsev, Sergeĭ Valentinovich 6 Kanel’-Belov, Alekseĭ Yakovlevich 6 Koshlukov, Plamen Emilov 6 Tsybulya, L. M. 5 Bekh-Ochir, Chuluun 5 Deryabina, Galina 5 Gonçalves, Dimas José 5 Rankin, Stuart A. 4 Centrone, Lucio 4 Vishne, Uzi 3 Kireeva, E. A. 3 Ribeiro Tomaz da Silva, Viviane 3 Rowen, Louis Halle 2 Aladova, Elena V. 2 Diniz Pereira da Silva e Silva, Diogo 2 Drensky, Vesselin 2 Glizburg, Vita I. 2 Kharitonov, M. I. 2 Krylov, Pëtr Andreevich 2 Martino, Fabrizio 2 Petrogradsky, Victor Mikhaylovich 2 Shashkov, Oleg Vladimirovich 2 Shchigolev, V. V. 2 Shestakov, Ivan Pavlovich 2 Sviridova, Irina 2 Tuganbaev, Askar Akanovich 1 Alves da Silva, Élida 1 Artamonov, Vyacheslav Aleksandrovich 1 Borisenko, Vladimir V. 1 Brandão, Antônio Pereira jun. 1 Castilho de Mello, Thiago 1 Chekhlov, Andreĭ Rostislavovich 1 Couto Silva, Dalton 1 da Costa, Eudes Antonio 1 Deryabina, G. S. 1 Di Vincenzo, Onofrio Mario 1 Dor, Gal 1 Fideles, Claudemir 1 Fidelis, Claudemir 1 Giambruno, Antonio 1 Gupta, Chander Kanta 1 Hristova, Elitza 1 Ismailov, Nurlan A. 1 Kireeva, Elena 1 La Scala, Roberto 1 Latyshev, Viktor Nikolaevich 1 Martinez Correa, Daniela 1 Monteiro Alves, Ilana Z. 1 Murakami, Lucia S. I. 1 Peresi, Luiz Antonio 1 Salomão, Mateus Eduardo 1 Shchigolev, Vladimir 1 Shokola, A. A. 1 Silkin, Nikolay N. 1 Souza, Manuela da Silva 1 Tsarev, Andrey Valer’evich 1 Umirbaev, Ualbaĭ Utmakhanbetovich 1 Urure, Ronald Ismael Quispe 1 Zel’manov, Efim Isaakovich all top 5 Cited in 27 Serials 20 Journal of Mathematical Sciences (New York) 16 Journal of Algebra 7 Mathematical Notes 6 Communications in Algebra 6 Siberian Mathematical Journal 4 Transactions of the American Mathematical Society 4 International Journal of Algebra and Computation 3 Israel Journal of Mathematics 2 Algebra and Logic 2 Sbornik: Mathematics 2 Journal of Algebra and its Applications 1 Linear and Multilinear Algebra 1 Moscow University Mathematics Bulletin 1 Advances in Mathematics 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Note di Matematica 1 Journal of Symbolic Computation 1 Linear Algebra and its Applications 1 Russian Mathematics 1 Electronic Research Announcements of the American Mathematical Society 1 Izvestiya: Mathematics 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Chebyshevskiĭ Sbornik 1 São Paulo Journal of Mathematical Sciences 1 Communications in Mathematics 1 Transactions of the American Mathematical Society. Series B all top 5 Cited in 12 Fields 77 Associative rings and algebras (16-XX) 27 Nonassociative rings and algebras (17-XX) 18 Linear and multilinear algebra; matrix theory (15-XX) 9 Group theory and generalizations (20-XX) 5 Commutative algebra (13-XX) 3 Combinatorics (05-XX) 3 General algebraic systems (08-XX) 3 Computer science (68-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Category theory; homological algebra (18-XX) 1 Topological groups, Lie groups (22-XX) Citations by Year