Edit Profile (opens in new tab) Levin, Alexander Borisovich Compute Distance To: Compute 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: 45 Publications since 1978, including 2 Books 1 Contribution as Editor Reviewing Activity: 85 Reviews Co-Authors: 12 Co-Authors with 13 Joint Publications 469 Co-Co-Authors all top 5 Co-Authors 32 single-authored 8 Mikhalëv, Aleksandr Vasil’evich 2 Kondrat’eva, Marina Vladimirovna 2 Pankrat’ev, Evgeniĭ Vasil’evich 1 Beaudin, Michel 1 Bhutani, Kiran R. 1 Dana-Picard, Thierry Noah 1 Dönch, Christian 1 Evgrafov, Alexander 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 Abelevy Gruppy i Moduli 1 Mathematics and its Applications (Dordrecht) 1 Algebra and Applications all top 5 Fields 38 Field theory and polynomials (12-XX) 20 Commutative algebra (13-XX) 9 Computer science (68-XX) 5 Difference and functional equations (39-XX) 3 Combinatorics (05-XX) 2 Associative rings and algebras (16-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Partial differential equations (35-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 30 Publications have been cited 232 times in 135 Documents Cited by ▼ Year ▼ Difference algebra. Zbl 1209.12003Levin, Alexander B. 61 2008 Differential and difference dimension polynomials. Zbl 0930.12005Kondratieva, M. V.; Levin, A. B.; Mikhalev, A. V.; Pankratiev, E. V. 56 1999 Characteristic polynomials of filtered difference modules and of extensions of difference fields. Zbl 0465.12011Levin, A. B. 16 1978 Computation of dimension polynomials. Zbl 0774.12007Kondrat’eva, M. V.; Levin, A. B.; Mikhalev, A. V.; Pankrat’ev, E. V. 12 1992 Reduced Gröbner bases, free difference-differential modules and difference-differential dimension polynomials. Zbl 0994.13009Levin, Alexander B. 11 2000 Gröbner bases with respect to several orderings and multivariable dimension polynomials. Zbl 1144.13013Levin, Alexander B. 9 2007 Type and dimension of finitely generated \(G\)-algebras. Zbl 0840.13004Levin, A. B.; Mikhalëv, A. V. 9 1995 Characteristic polynomials of inverse differential modules and some properties of inverse differential dimension. Zbl 0459.12017Levin, A. B. 9 1980 Multivariate difference-differential dimension polynomials and new invariants of difference-differential field extensions. Zbl 1360.12006Levin, Alexander B. 5 2013 The differential dimension polynomial and strength of a system of differential equations. Zbl 0722.12004Levin, A. B.; Mikhalev, A. V. 5 1987 On the ascending chain condition for mixed difference ideals. Zbl 1380.12008Levin, Alexander 4 2015 Type and dimension of finitely generated vector \(G\)-spaces. Zbl 0745.12007Levin, A. B.; Mikhalev, A. V. 4 1991 Computation of Hilbert polynomials in two variables. Zbl 0976.13011Levin, Alexander B. 4 1999 Characteristic polynomials of filtered difference modules and extensions of difference fields. Zbl 0413.12024Levin, A. B. 3 1978 Multivariable dimension polynomials and new invariants of differential field extensions. Zbl 1010.12006Levin, Alexander B. 3 2001 Characteristic polynomials of inverse difference modules and some properties of an inverse difference dimension. Zbl 0426.12017Levin, A. B. 3 1980 Dimension polynomials of filtered differential \(G\)-modules and extensions of differential \(G\)-fields. Zbl 0759.12003Levin, A. B.; Mikhalev, A. V. 2 1992 Dimension polynomials of intermediate fields and Krull-type dimension of finitely generated differential field extensions. Zbl 1230.12004Levin, Alexander B. 2 2010 Characteristic polynomials of finitely generated modules over Weyl algebras. Zbl 0968.16012Levin, Alexander B. 2 2000 Multivariate dimension polynomials of inversive difference field extensions. Zbl 1375.12002Levin, Alexander 2 2014 Gröbner bases with respect to several term orderings and multivariate dimension polynomials. Zbl 1190.13024Levin, Alexander B. 1 2007 Dimension polynomials of intermediate fields of inversive difference field extensions. Zbl 1464.12011Levin, Alexander 1 2016 Difference algebra. Zbl 1209.12004Levin, Alexander B. 1 2006 Dimension polynomials of difference local algebras. Zbl 1393.12009Levin, Alexander 1 2016 Difference dimension quasi-polynomials. Zbl 1418.12003Levin, Alexander 1 2017 On the set of Hilbert polynomials. Zbl 1096.13520Levin, Alexander B. 1 2001 Bivariate dimension polynomials and new invariants of finitely generated \(D\)-modules. Zbl 1303.13027Dönch, Christian; Levin, Alexander 1 2013 Multivariable difference dimension polynomials. Zbl 1210.12004Levin, A. B. 1 2005 Bivariate dimension polynomials of non-reflexive prime difference-differential ideals: the case of one translation. Zbl 1464.12009Levin, Alexander 1 2018 Bivariate Kolchin-type dimension polynomials of non-reflexive prime difference-differential ideals. The case of one translation. Zbl 1456.12004Levin, Alexander 1 2021 Bivariate Kolchin-type dimension polynomials of non-reflexive prime difference-differential ideals. The case of one translation. Zbl 1456.12004Levin, Alexander 1 2021 Bivariate dimension polynomials of non-reflexive prime difference-differential ideals: the case of one translation. Zbl 1464.12009Levin, Alexander 1 2018 Difference dimension quasi-polynomials. Zbl 1418.12003Levin, Alexander 1 2017 Dimension polynomials of intermediate fields of inversive difference field extensions. Zbl 1464.12011Levin, Alexander 1 2016 Dimension polynomials of difference local algebras. Zbl 1393.12009Levin, Alexander 1 2016 On the ascending chain condition for mixed difference ideals. Zbl 1380.12008Levin, Alexander 4 2015 Multivariate dimension polynomials of inversive difference field extensions. Zbl 1375.12002Levin, Alexander 2 2014 Multivariate difference-differential dimension polynomials and new invariants of difference-differential field extensions. Zbl 1360.12006Levin, Alexander B. 5 2013 Bivariate dimension polynomials and new invariants of finitely generated \(D\)-modules. Zbl 1303.13027Dönch, Christian; Levin, Alexander 1 2013 Dimension polynomials of intermediate fields and Krull-type dimension of finitely generated differential field extensions. Zbl 1230.12004Levin, Alexander B. 2 2010 Difference algebra. Zbl 1209.12003Levin, Alexander B. 61 2008 Gröbner bases with respect to several orderings and multivariable dimension polynomials. Zbl 1144.13013Levin, Alexander B. 9 2007 Gröbner bases with respect to several term orderings and multivariate dimension polynomials. Zbl 1190.13024Levin, Alexander B. 1 2007 Difference algebra. Zbl 1209.12004Levin, Alexander B. 1 2006 Multivariable difference dimension polynomials. Zbl 1210.12004Levin, A. B. 1 2005 Multivariable dimension polynomials and new invariants of differential field extensions. Zbl 1010.12006Levin, Alexander B. 3 2001 On the set of Hilbert polynomials. Zbl 1096.13520Levin, Alexander B. 1 2001 Reduced Gröbner bases, free difference-differential modules and difference-differential dimension polynomials. Zbl 0994.13009Levin, Alexander B. 11 2000 Characteristic polynomials of finitely generated modules over Weyl algebras. Zbl 0968.16012Levin, Alexander B. 2 2000 Differential and difference dimension polynomials. Zbl 0930.12005Kondratieva, M. V.; Levin, A. B.; Mikhalev, A. V.; Pankratiev, E. V. 56 1999 Computation of Hilbert polynomials in two variables. Zbl 0976.13011Levin, Alexander B. 4 1999 Type and dimension of finitely generated \(G\)-algebras. Zbl 0840.13004Levin, A. B.; Mikhalëv, A. V. 9 1995 Computation of dimension polynomials. Zbl 0774.12007Kondrat’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 0759.12003Levin, A. B.; Mikhalev, A. V. 2 1992 Type and dimension of finitely generated vector \(G\)-spaces. Zbl 0745.12007Levin, A. B.; Mikhalev, A. V. 4 1991 The differential dimension polynomial and strength of a system of differential equations. Zbl 0722.12004Levin, A. B.; Mikhalev, A. V. 5 1987 Characteristic polynomials of inverse differential modules and some properties of inverse differential dimension. Zbl 0459.12017Levin, A. B. 9 1980 Characteristic polynomials of inverse difference modules and some properties of an inverse difference dimension. Zbl 0426.12017Levin, A. B. 3 1980 Characteristic polynomials of filtered difference modules and of extensions of difference fields. Zbl 0465.12011Levin, A. B. 16 1978 Characteristic polynomials of filtered difference modules and extensions of difference fields. Zbl 0413.12024Levin, A. B. 3 1978 all cited Publications top 5 cited Publications all top 5 Cited by 101 Authors 18 Levin, Alexander Borisovich 12 Wibmer, Michael 11 Kondrat’eva, Marina Vladimirovna 10 Li, Wei 8 Ovchinnikov, Alexey Igorevich 6 Gao, Xiaoshan 6 Yuan, Chunming 5 Di Vizio, Lucia 5 Golubitsky, Oleg 5 Hardouin, Charlotte 5 Nishioka, Seiji 5 Pogudin, Gleb A. 4 Gerdt, Vladimir Petrovich 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 Zhou, Meng 3 Kaptsov, Oleg Viktorovich 3 Ledet, Arne 3 Schwarz, Fritz 3 Sheng, Yunhe 3 Umirbaev, Ualbaĭ Utmakhanbetovich 3 Wang, Jie 3 Zobnin, Alexey I. 2 Bachmayr, Annette 2 Blinkov, Yuri A. 2 Blinkov, Yuriĭ Anatol’evich 2 Dönch, Christian 2 Duĭsengalieva, Bibinur A. 2 Grigor’ev, Dmitriĭ Yur’evich 2 Huang, GuanLi 2 Huang, Zhang 2 Khashin, Sergey 2 Lange-Hegermann, Markus 2 León Sánchez, Omar 2 Li, Yinghong 2 Li, Yunnan 2 Schneider, Carsten 2 Tomašić, Ivan 2 Winkler, Franz 2 Zhang, Xiaojing 1 Aliabadi, Mohsen 1 Amodio, Pierluigi 1 Bai, Chengming 1 Bigatti, Anna Maria 1 Bronstein, Manuel Eric 1 Carra’Ferro, Giuseppa 1 Chen, Yufu 1 Ding, Qi 1 Dreyfus, Thomas 1 Evgrafov, Alexander 1 Freitag, James 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 Jiang, Jun 1 Le Stum, Bernard 1 Li, Xiezhang 1 Liu, Xuewen 1 Luo, Yan Feng 1 Malykh, Mikhail Dmitrievich 1 Markov, Viktor Timofeevich 1 Mohammadi, Zahra 1 More, Ajinkya A. 1 Moreno Maza, Marc 1 Nadarajah, Saralees 1 Naurazbekova, Altyngul Serikovna 1 Pellarin, Federico 1 Peng, Xiao-Song 1 Quirós Gracián, Adolfo 1 Reid, Gregory John 1 Roques, Julien 1 Rossmann, Tobias 1 Schoutens, Hans 1 Sevast’yanov, Leonid Antonovich 1 Simmons, William D. 1 Sit, William Yu 1 Skornyakov, Lev Anatolevich 1 Smirnov, Sergeĭ Nikolaevich 1 Szántó, Ágnes 1 Tiwari, Sharwan Kumar 1 Towsner, Henry 1 Tuganbaev, Askar Akanovich 1 van der Hoeven, Joris 1 Wei, Yimin 1 Withers, Christopher Stroude 1 Xu, Huabo 1 Yang, Shilin 1 Yao, Hailou 1 Zhang, Hongqing 1 Zhang, Yi ...and 1 more Authors all top 5 Cited in 52 Serials 19 Journal of Symbolic Computation 13 Journal of Algebra 11 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 2 Mathematics of Computation 2 Applied Mathematics and Computation 2 Journal of Pure and Applied Algebra 2 Journal of Soviet Mathematics 2 Mathematische Zeitschrift 2 Results in Mathematics 2 Transactions of the American Mathematical Society 2 Numerical Algorithms 2 Journal of the European Mathematical Society (JEMS) 2 Science China. Mathematics 1 Periodica Mathematica Hungarica 1 Rocky Mountain Journal of Mathematics 1 Beiträge zur Algebra und Geometrie 1 Canadian Journal of Mathematics 1 Fundamenta Mathematicae 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 Applicable Algebra in Engineering, Communication and Computing 1 Numerical Linear Algebra with Applications 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 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 100 Field theory and polynomials (12-XX) 53 Commutative algebra (13-XX) 23 Computer science (68-XX) 20 Difference and functional equations (39-XX) 17 Associative rings and algebras (16-XX) 15 Algebraic geometry (14-XX) 13 Partial differential equations (35-XX) 8 Mathematical logic and foundations (03-XX) 8 Ordinary differential equations (34-XX) 8 Numerical analysis (65-XX) 6 Number theory (11-XX) 6 Nonassociative rings and algebras (17-XX) 6 Special functions (33-XX) 5 Group theory and generalizations (20-XX) 3 Combinatorics (05-XX) 3 Fluid mechanics (76-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Topological groups, Lie groups (22-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 General and overarching topics; collections (00-XX) 1 Category theory; homological algebra (18-XX) 1 Operator theory (47-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) Citations by Year