Edit Profile (opens in new tab) Levin, Alexander Borisovich Co-Author Distance Author ID: levin.alexander-b Published as: Levin, Alexander; Levin, Alexander B.; Levin, A. B. more...less Further Spellings: Левин Александр Борисович Homepage: https://mathematics.catholic.edu/faculty-and-research/faculty-profiles/levin-ale... External Links: MGP · Google Scholar · Math-Net.Ru · dblp Documents Indexed: 51 Publications since 1978, including 2 Books and 5 Additional arXiv Preprints 1 Contribution as Editor Reviewing Activity: 107 Reviews Co-Authors: 12 Co-Authors with 16 Joint Publications 499 Co-Co-Authors all top 5 Co-Authors 35 single-authored 8 Mikhalëv, Aleksandr Vasil’evich 3 Dönch, Christian 2 Evgrafov, Alexander 2 Kondrat’eva, Marina Vladimirovna 2 Pankrat’ev, Evgeniĭ Vasil’evich 1 Beaudin, Michel 1 Bhutani, Kiran R. 1 Dana-Picard, Thierry Noah 1 Fürst, Christoph 1 Kotsireas, Ilias S. 1 Koutschan, Christoph 1 Robertz, Daniel 1 Rubakov, Valery A. all top 5 Serials 7 Mathematics in Computer Science 4 Journal of Symbolic Computation 2 Bulletin of the Australian Mathematical Society 2 Russian Mathematical Surveys 2 Uspekhi Matematicheskikh Nauk [N. S.] 2 International Journal of Mathematics and Mathematical Sciences 2 Advances in Applied Mathematics 2 International Journal of Algebra and Computation 2 Journal of Mathematical Sciences (New York) 1 Modern Physics Letters A 1 Moscow University Mathematics Bulletin 1 Rocky Mountain Journal of Mathematics 1 IMRN. International Mathematics Research Notices 1 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 1 Applicable Algebra in Engineering, Communication and Computing 1 Abelevy Gruppy i Moduli 1 Mathematics and its Applications (Dordrecht) 1 Algebra and Applications all top 5 Fields 43 Field theory and polynomials (12-XX) 22 Commutative algebra (13-XX) 9 Computer science (68-XX) 6 Difference and functional equations (39-XX) 4 Associative rings and algebras (16-XX) 3 Combinatorics (05-XX) 2 Partial differential equations (35-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 33 Publications have been cited 281 times in 160 Documents Cited by ▼ Year ▼ Difference algebra. Zbl 1209.12003 Levin, Alexander B. 81 2008 Differential and difference dimension polynomials. Zbl 0930.12005 Kondratieva, M. V.; Levin, A. B.; Mikhalev, A. V.; Pankratiev, E. V. 69 1999 Characteristic polynomials of filtered difference modules and of extensions of difference fields. Zbl 0465.12011 Levin, A. B. 18 1978 Reduced Gröbner bases, free difference-differential modules and difference-differential dimension polynomials. Zbl 0994.13009 Levin, Alexander B. 13 2000 Computation of dimension polynomials. Zbl 0774.12007 Kondrat’eva, M. V.; Levin, A. B.; Mikhalev, A. V.; Pankrat’ev, E. V. 12 1992 Type and dimension of finitely generated \(G\)-algebras. Zbl 0840.13004 Levin, A. B.; Mikhalëv, A. V. 11 1995 Gröbner bases with respect to several orderings and multivariable dimension polynomials. Zbl 1144.13013 Levin, Alexander B. 11 2007 Characteristic polynomials of inverse differential modules and some properties of inverse differential dimension. Zbl 0459.12017 Levin, A. B. 10 1980 Multivariate difference-differential dimension polynomials and new invariants of difference-differential field extensions. Zbl 1360.12006 Levin, Alexander B. 6 2013 The differential dimension polynomial and strength of a system of differential equations. Zbl 0722.12004 Levin, A. B.; Mikhalev, A. V. 5 1987 Multivariable dimension polynomials and new invariants of differential field extensions. Zbl 1010.12006 Levin, Alexander B. 4 2001 On the ascending chain condition for mixed difference ideals. Zbl 1380.12008 Levin, Alexander 4 2015 Type and dimension of finitely generated vector \(G\)-spaces. Zbl 0745.12007 Levin, A. B.; Mikhalev, A. V. 4 1991 Computation of Hilbert polynomials in two variables. Zbl 0976.13011 Levin, Alexander B. 4 1999 Dimension polynomials of intermediate fields and Krull-type dimension of finitely generated differential field extensions. Zbl 1230.12004 Levin, Alexander B. 3 2010 Characteristic polynomials of filtered difference modules and extensions of difference fields. Zbl 0413.12024 Levin, A. B. 3 1978 Characteristic polynomials of inverse difference modules and some properties of an inverse difference dimension. Zbl 0426.12017 Levin, A. B. 3 1980 Multivariate dimension polynomials of inversive difference field extensions. Zbl 1375.12002 Levin, Alexander 3 2014 Bivariate dimension polynomials of non-reflexive prime difference-differential ideals: the case of one translation. Zbl 1464.12009 Levin, Alexander 2 2018 Dimension polynomials of filtered differential \(G\)-modules and extensions of differential \(G\)-fields. Zbl 0759.12003 Levin, A. B.; Mikhalev, A. V. 2 1992 Characteristic polynomials of finitely generated modules over Weyl algebras. Zbl 0968.16012 Levin, Alexander B. 2 2000 Q-balls with scalar charge. Zbl 1209.81207 Levin, A.; Rubakov, V. 2 2011 Multivariable difference dimension polynomials. Zbl 1210.12004 Levin, A. B. 2 2005 Bivariate Kolchin-type dimension polynomials of non-reflexive prime difference-differential ideals. The case of one translation. Zbl 1456.12004 Levin, Alexander 1 2021 On the set of Hilbert polynomials. Zbl 1096.13520 Levin, Alexander B. 1 2001 Difference dimension quasi-polynomials. Zbl 1418.12003 Levin, Alexander 1 2017 Dimension polynomials of difference local algebras. Zbl 1393.12009 Levin, Alexander 1 2016 Computation of the strength of systems of difference equations via generalized Gröbner bases. Zbl 1183.39007 Levin, Alexander B. 1 2007 Dimension polynomials of intermediate fields of inversive difference field extensions. Zbl 1464.12011 Levin, Alexander 1 2016 Difference algebra. Zbl 1209.12004 Levin, Alexander B. 1 2006 Bivariate dimension polynomials and new invariants of finitely generated \(D\)-modules. Zbl 1303.13027 Dönch, Christian; Levin, Alexander 1 2013 Gröbner bases with respect to several term orderings and multivariate dimension polynomials. Zbl 1190.13024 Levin, Alexander B. 1 2007 A new type of difference dimension polynomials. Zbl 07632791 Levin, Alexander 1 2022 A new type of difference dimension polynomials. Zbl 07632791 Levin, Alexander 1 2022 Bivariate Kolchin-type dimension polynomials of non-reflexive prime difference-differential ideals. The case of one translation. Zbl 1456.12004 Levin, Alexander 1 2021 Bivariate dimension polynomials of non-reflexive prime difference-differential ideals: the case of one translation. Zbl 1464.12009 Levin, Alexander 2 2018 Difference dimension quasi-polynomials. Zbl 1418.12003 Levin, Alexander 1 2017 Dimension polynomials of difference local algebras. Zbl 1393.12009 Levin, Alexander 1 2016 Dimension polynomials of intermediate fields of inversive difference field extensions. Zbl 1464.12011 Levin, Alexander 1 2016 On the ascending chain condition for mixed difference ideals. Zbl 1380.12008 Levin, Alexander 4 2015 Multivariate dimension polynomials of inversive difference field extensions. Zbl 1375.12002 Levin, Alexander 3 2014 Multivariate difference-differential dimension polynomials and new invariants of difference-differential field extensions. Zbl 1360.12006 Levin, Alexander B. 6 2013 Bivariate dimension polynomials and new invariants of finitely generated \(D\)-modules. Zbl 1303.13027 Dönch, Christian; Levin, Alexander 1 2013 Q-balls with scalar charge. Zbl 1209.81207 Levin, A.; Rubakov, V. 2 2011 Dimension polynomials of intermediate fields and Krull-type dimension of finitely generated differential field extensions. Zbl 1230.12004 Levin, Alexander B. 3 2010 Difference algebra. Zbl 1209.12003 Levin, Alexander B. 81 2008 Gröbner bases with respect to several orderings and multivariable dimension polynomials. Zbl 1144.13013 Levin, Alexander B. 11 2007 Computation of the strength of systems of difference equations via generalized Gröbner bases. Zbl 1183.39007 Levin, Alexander B. 1 2007 Gröbner bases with respect to several term orderings and multivariate dimension polynomials. Zbl 1190.13024 Levin, Alexander B. 1 2007 Difference algebra. Zbl 1209.12004 Levin, Alexander B. 1 2006 Multivariable difference dimension polynomials. Zbl 1210.12004 Levin, A. B. 2 2005 Multivariable dimension polynomials and new invariants of differential field extensions. Zbl 1010.12006 Levin, Alexander B. 4 2001 On the set of Hilbert polynomials. Zbl 1096.13520 Levin, Alexander B. 1 2001 Reduced Gröbner bases, free difference-differential modules and difference-differential dimension polynomials. Zbl 0994.13009 Levin, Alexander B. 13 2000 Characteristic polynomials of finitely generated modules over Weyl algebras. Zbl 0968.16012 Levin, Alexander B. 2 2000 Differential and difference dimension polynomials. Zbl 0930.12005 Kondratieva, M. V.; Levin, A. B.; Mikhalev, A. V.; Pankratiev, E. V. 69 1999 Computation of Hilbert polynomials in two variables. Zbl 0976.13011 Levin, Alexander B. 4 1999 Type and dimension of finitely generated \(G\)-algebras. Zbl 0840.13004 Levin, A. B.; Mikhalëv, A. V. 11 1995 Computation of dimension polynomials. Zbl 0774.12007 Kondrat’eva, M. V.; Levin, A. B.; Mikhalev, A. V.; Pankrat’ev, E. V. 12 1992 Dimension polynomials of filtered differential \(G\)-modules and extensions of differential \(G\)-fields. Zbl 0759.12003 Levin, A. B.; Mikhalev, A. V. 2 1992 Type and dimension of finitely generated vector \(G\)-spaces. Zbl 0745.12007 Levin, A. B.; Mikhalev, A. V. 4 1991 The differential dimension polynomial and strength of a system of differential equations. Zbl 0722.12004 Levin, A. B.; Mikhalev, A. V. 5 1987 Characteristic polynomials of inverse differential modules and some properties of inverse differential dimension. Zbl 0459.12017 Levin, A. B. 10 1980 Characteristic polynomials of inverse difference modules and some properties of an inverse difference dimension. Zbl 0426.12017 Levin, A. B. 3 1980 Characteristic polynomials of filtered difference modules and of extensions of difference fields. Zbl 0465.12011 Levin, A. B. 18 1978 Characteristic polynomials of filtered difference modules and extensions of difference fields. Zbl 0413.12024 Levin, A. B. 3 1978 all cited Publications top 5 cited Publications all top 5 Cited by 117 Authors 20 Levin, Alexander Borisovich 13 Wibmer, Michael 12 Kondrat’eva, Marina Vladimirovna 10 Li, Wei 8 Gao, Xiaoshan 8 Ovchinnikov, Alexey Igorevich 7 Gerdt, Vladimir Petrovich 6 Yuan, Chunming 5 Di Vizio, Lucia 5 Golubitsky, Oleg 5 Hardouin, Charlotte 5 Nishioka, Seiji 5 Pogudin, Gleb A. 5 Zhou, Meng 4 Guo, Li 4 Juan, Lourdes 4 La Scala, Roberto 4 Mikhalëv, Aleksandr Vasil’evich 4 Pankrat’ev, Evgeniĭ Vasil’evich 4 Scanlon, Thomas J. 4 Schwarz, Fritz 4 Sheng, Yunhe 4 Umirbaev, Ualbaĭ Utmakhanbetovich 4 Wang, Jie 4 Zobnin, Alexey I. 3 Grigor’ev, Dmitriĭ Yur’evich 3 Kaptsov, Oleg Viktorovich 3 Ledet, Arne 3 Li, Yunnan 3 Schneider, Carsten 3 Tomašić, Ivan 3 Winkler, Franz 2 Bachmayr, Annette 2 Blinkov, Yuri A. 2 Blinkov, Yuriĭ Anatol’evich 2 Dönch, Christian 2 Duĭsengalieva, Bibinur A. 2 Freitag, James 2 Huang, GuanLi 2 Huang, Zhang 2 Jiang, Jun 2 Khashin, Sergey 2 Lange-Hegermann, Markus 2 León Sánchez, Omar 2 Li, Yinghong 2 Pellarin, Federico 2 Robertz, Daniel 2 Zhang, Xiaojing 1 Aliabadi, Mohsen 1 Amodio, Pierluigi 1 Aryapoor, Masood 1 Bai, Chengming 1 Bigatti, Anna Maria 1 Bronstein, Manuel Eric 1 Chalupnik, Marcin 1 Chen, Shan 1 Chen, Yu-Ao 1 Chyzak, Frédéric 1 Ding, Qi 1 Dreyfus, Thomas 1 Evgrafov, Alexander 1 Fürst, Christoph 1 Gao, Xing 1 Gillet, Henri A. 1 Golubitsky, O. D. 1 Gorchinskiĭ, Sergeĭ Olegovich 1 Granier, Anne 1 Guo, Xiangqian 1 Heiderich, Florian 1 Huang, S.-L. Tracy 1 Hyttinen, Tapani 1 Kangas, Kaisa 1 Kauers, Manuel 1 Kowalski, Piotr 1 Le Stum, Bernard 1 Li, Xiezhang 1 Liu, Xuewen 1 Luo, Yan Feng 1 Lyakhov, Dmitry A. 1 Malykh, Mikhail Dmitrievich 1 Markov, Viktor Timofeevich 1 Michels, Dominik Ludewig 1 Mikhalëv, Aleksandr Aleksandrovich 1 Mohamed, Shezad 1 Mohammadi, Zahra 1 More, Ajinkya A. 1 Moreno Maza, Marc 1 Mustafa, Manat 1 Nadarajah, Saralees 1 Naurazbekova, Altyngul Serikovna 1 Peng, Xiao-Song 1 Quirós Gracián, Adolfo 1 Reid, Gregory John 1 Roques, Julien 1 Rossmann, Tobias 1 Salvy, Bruno 1 Schoutens, Hans 1 Sevast’yanov, Leonid Antonovich 1 Simmons, William D. 1 Sit, William Yu ...and 17 more Authors all top 5 Cited in 57 Serials 19 Journal of Symbolic Computation 17 Journal of Algebra 13 Journal of Mathematical Sciences (New York) 6 Advances in Applied Mathematics 6 Mathematics in Computer Science 4 Advances in Mathematics 4 Proceedings of the American Mathematical Society 4 Programming and Computer Software 4 Journal of Systems Science and Complexity 3 Bulletin of the Australian Mathematical Society 3 Communications in Algebra 3 Linear and Multilinear Algebra 3 Journal of Pure and Applied Algebra 3 Science China. Mathematics 2 Mathematics of Computation 2 Applied Mathematics and Computation 2 Fundamenta Mathematicae 2 Journal of Soviet Mathematics 2 Mathematische Zeitschrift 2 Results in Mathematics 2 Transactions of the American Mathematical Society 2 Numerical Algorithms 2 Applicable Algebra in Engineering, Communication and Computing 2 Journal of the European Mathematical Society (JEMS) 1 Periodica Mathematica Hungarica 1 Rocky Mountain Journal of Mathematics 1 Beiträge zur Algebra und Geometrie 1 Annales de l’Institut Fourier 1 Canadian Journal of Mathematics 1 Funkcialaj Ekvacioj. Serio Internacia 1 Journal of Number Theory 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Nagoya Mathematical Journal 1 Acta Applicandae Mathematicae 1 Journal of Complexity 1 Forum Mathematicum 1 Science in China. Series A 1 International Journal of Algebra and Computation 1 Aequationes Mathematicae 1 Archive for Mathematical Logic 1 Journal de Théorie des Nombres de Bordeaux 1 Numerical Linear Algebra with Applications 1 Journal of Lie Theory 1 Selecta Mathematica. New Series 1 Theory and Applications of Categories 1 Communications in Contemporary Mathematics 1 Foundations of Computational Mathematics 1 Journal of the Institute of Mathematics of Jussieu 1 Journal of Algebra and its Applications 1 Frontiers of Mathematics in China 1 Confluentes Mathematici 1 Symmetry 1 Bulletin of Mathematical Sciences 1 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika 1 Forum of Mathematics, Sigma 1 Journal of Siberian Federal University. Mathematics & Physics all top 5 Cited in 25 Fields 114 Field theory and polynomials (12-XX) 60 Commutative algebra (13-XX) 32 Computer science (68-XX) 21 Associative rings and algebras (16-XX) 20 Difference and functional equations (39-XX) 19 Algebraic geometry (14-XX) 16 Partial differential equations (35-XX) 10 Numerical analysis (65-XX) 9 Mathematical logic and foundations (03-XX) 9 Nonassociative rings and algebras (17-XX) 8 Ordinary differential equations (34-XX) 7 Number theory (11-XX) 7 Group theory and generalizations (20-XX) 7 Special functions (33-XX) 4 Fluid mechanics (76-XX) 3 Combinatorics (05-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Category theory; homological algebra (18-XX) 2 Topological groups, Lie groups (22-XX) 1 General and overarching topics; collections (00-XX) 1 Operator theory (47-XX) 1 Manifolds and cell complexes (57-XX) 1 Quantum theory (81-XX) Citations by Year