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Levin, Alexander Borisovich

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 Author ID: levin.alexander-b Published as: Levin, Alexander; Levin, Alexander B.; Levin, A. B. Homepage: http://math.cua.edu/faculty/profiles/levin.cfm External Links: MGP · Math-Net.Ru · dblp
 Documents Indexed: 43 Publications since 1978, including 2 Books Reviewing Activity: 57 Reviews
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Co-Authors

 30 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
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Serials

 6 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 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
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Fields

 35 Field theory and polynomials (12-XX) 19 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)

Citations contained in zbMATH Open

27 Publications have been cited 193 times in 112 Documents Cited by Year
Differential and difference dimension polynomials. Zbl 0930.12005
Kondratieva, M. V.; Levin, A. B.; Mikhalev, A. V.; Pankratiev, E. V.
1999
Difference algebra. Zbl 1209.12003
Levin, Alexander B.
2008
Characteristic polynomials of filtered difference modules and of extensions of difference fields. Zbl 0465.12011
Levin, A. B.
1978
Computation of dimension polynomials. Zbl 0774.12007
Kondrat’eva, M. V.; Levin, A. B.; Mikhalev, A. V.; Pankrat’ev, E. V.
1992
Reduced Gröbner bases, free difference-differential modules and difference-differential dimension polynomials. Zbl 0994.13009
Levin, Alexander B.
2000
Type and dimension of finitely generated $$G$$-algebras. Zbl 0840.13004
Levin, A. B.; Mikhalëv, A. V.
1995
Characteristic polynomials of inverse differential modules and some properties of inverse differential dimension. Zbl 0459.12017
Levin, A. B.
1980
Gröbner bases with respect to several orderings and multivariable dimension polynomials. Zbl 1144.13013
Levin, Alexander B.
2007
The differential dimension polynomial and strength of a system of differential equations. Zbl 0722.12004
Levin, A. B.; Mikhalev, A. V.
1987
Computation of Hilbert polynomials in two variables. Zbl 0976.13011
Levin, Alexander B.
1999
Multivariate difference-differential dimension polynomials and new invariants of difference-differential field extensions. Zbl 1360.12006
Levin, Alexander B.
2013
Characteristic polynomials of inverse difference modules and some properties of an inverse difference dimension. Zbl 0426.12017
Levin, A. B.
1980
Characteristic polynomials of filtered difference modules and extensions of difference fields. Zbl 0413.12024
Levin, A. B.
1978
Multivariable dimension polynomials and new invariants of differential field extensions. Zbl 1010.12006
Levin, Alexander B.
2001
Type and dimension of finitely generated vector G-spaces. Zbl 0745.12007
Levin, A. B.; Mikhalev, A. V.
1991
On the ascending chain condition for mixed difference ideals. Zbl 1380.12008
Levin, Alexander
2015
Characteristic polynomials of finitely generated modules over Weyl algebras. Zbl 0968.16012
Levin, Alexander B.
2000
Dimension polynomials of filtered differential $$G$$-modules and extensions of differential $$G$$-fields. Zbl 0759.12003
Levin, A. B.; Mikhalev, A. V.
1992
On the set of Hilbert polynomials. Zbl 1096.13520
Levin, Alexander B.
2001
Dimension polynomials of difference local algebras. Zbl 1393.12009
Levin, Alexander
2016
Dimension polynomials of intermediate fields and Krull-type dimension of finitely generated differential field extensions. Zbl 1230.12004
Levin, Alexander B.
2010
Difference dimension quasi-polynomials. Zbl 1418.12003
Levin, Alexander
2017
Multivariable difference dimension polynomials. Zbl 1210.12004
Levin, A. B.
2005
Gröbner bases with respect to several term orderings and multivariate dimension polynomials. Zbl 1190.13024
Levin, Alexander B.
2007
Bivariate dimension polynomials and new invariants of finitely generated $$D$$-modules. Zbl 1303.13027
Dönch, Christian; Levin, Alexander
2013
Multivariate dimension polynomials of inversive difference field extensions. Zbl 1375.12002
Levin, Alexander
2014
Difference algebra. Zbl 1209.12004
Levin, Alexander B.
2006
Difference dimension quasi-polynomials. Zbl 1418.12003
Levin, Alexander
2017
Dimension polynomials of difference local algebras. Zbl 1393.12009
Levin, Alexander
2016
On the ascending chain condition for mixed difference ideals. Zbl 1380.12008
Levin, Alexander
2015
Multivariate dimension polynomials of inversive difference field extensions. Zbl 1375.12002
Levin, Alexander
2014
Multivariate difference-differential dimension polynomials and new invariants of difference-differential field extensions. Zbl 1360.12006
Levin, Alexander B.
2013
Bivariate dimension polynomials and new invariants of finitely generated $$D$$-modules. Zbl 1303.13027
Dönch, Christian; Levin, Alexander
2013
Dimension polynomials of intermediate fields and Krull-type dimension of finitely generated differential field extensions. Zbl 1230.12004
Levin, Alexander B.
2010
Difference algebra. Zbl 1209.12003
Levin, Alexander B.
2008
Gröbner bases with respect to several orderings and multivariable dimension polynomials. Zbl 1144.13013
Levin, Alexander B.
2007
Gröbner bases with respect to several term orderings and multivariate dimension polynomials. Zbl 1190.13024
Levin, Alexander B.
2007
Difference algebra. Zbl 1209.12004
Levin, Alexander B.
2006
Multivariable difference dimension polynomials. Zbl 1210.12004
Levin, A. B.
2005
Multivariable dimension polynomials and new invariants of differential field extensions. Zbl 1010.12006
Levin, Alexander B.
2001
On the set of Hilbert polynomials. Zbl 1096.13520
Levin, Alexander B.
2001
Reduced Gröbner bases, free difference-differential modules and difference-differential dimension polynomials. Zbl 0994.13009
Levin, Alexander B.
2000
Characteristic polynomials of finitely generated modules over Weyl algebras. Zbl 0968.16012
Levin, Alexander B.
2000
Differential and difference dimension polynomials. Zbl 0930.12005
Kondratieva, M. V.; Levin, A. B.; Mikhalev, A. V.; Pankratiev, E. V.
1999
Computation of Hilbert polynomials in two variables. Zbl 0976.13011
Levin, Alexander B.
1999
Type and dimension of finitely generated $$G$$-algebras. Zbl 0840.13004
Levin, A. B.; Mikhalëv, A. V.
1995
Computation of dimension polynomials. Zbl 0774.12007
Kondrat&rsquo;eva, M. V.; Levin, A. B.; Mikhalev, A. V.; Pankrat&rsquo;ev, E. V.
1992
Dimension polynomials of filtered differential $$G$$-modules and extensions of differential $$G$$-fields. Zbl 0759.12003
Levin, A. B.; Mikhalev, A. V.
1992
Type and dimension of finitely generated vector G-spaces. Zbl 0745.12007
Levin, A. B.; Mikhalev, A. V.
1991
The differential dimension polynomial and strength of a system of differential equations. Zbl 0722.12004
Levin, A. B.; Mikhalev, A. V.
1987
Characteristic polynomials of inverse differential modules and some properties of inverse differential dimension. Zbl 0459.12017
Levin, A. B.
1980
Characteristic polynomials of inverse difference modules and some properties of an inverse difference dimension. Zbl 0426.12017
Levin, A. B.
1980
Characteristic polynomials of filtered difference modules and of extensions of difference fields. Zbl 0465.12011
Levin, A. B.
1978
Characteristic polynomials of filtered difference modules and extensions of difference fields. Zbl 0413.12024
Levin, A. B.
1978
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Cited by 84 Authors

 16 Levin, Alexander Borisovich 9 Li, Wei 8 Kondrat’eva, Marina Vladimirovna 7 Ovchinnikov, Alexey Igorevich 7 Wibmer, Michael 6 Gao, Xiaoshan 6 Yuan, Chunming 5 Golubitsky, Oleg 4 Gerdt, Vladimir P. 4 Hardouin, Charlotte 4 Juan, Lourdes 4 Mikhalëv, Aleksandr Vasil’evich 4 Nishioka, Seiji 4 Pankrat’ev, Evgeniĭ Vasil’evich 4 Pogudin, Gleb A. 4 Zhou, Meng 3 Di Vizio, Lucia 3 Kaptsov, Oleg V. 3 La Scala, Roberto 3 Ledet, Arne 3 Scanlon, Thomas J. 3 Schwarz, Fritz 3 Zobnin, Alexey I. 2 Blinkov, Yuri A. 2 Dönch, Christian 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 Schneider, Carsten 2 Umirbaev, Ualbaĭ Utmakhanbetovich 2 Wang, Jie 2 Winkler, Franz 1 Aliabadi, Mohsen 1 Amodio, Pierluigi 1 Bigatti, Anna Maria 1 Blinkov, Yury A. 1 Carrà Ferro, Giuseppa 1 Ding, Qi 1 Dreyfus, Thomas 1 Duĭsengalieva, Bibinur A. 1 Evgrafov, Alexander 1 Freitag, James 1 Fürst, Christoph 1 Gillet, Henri A. 1 Golubitsky, O. D. 1 Gorchinskiĭ, Sergeĭ Olegovich 1 Guo, Li 1 Guo, Xiangqian 1 Huang, S.-L. Tracy 1 Le Stum, Bernard 1 Li, Xiezhang 1 Li, Yunnan 1 Liu, Xuewen 1 Markov, Viktor T. 1 Mohammadi, Zahra 1 More, Ajinkya A. 1 Moreno Maza, Marc 1 Nadarajah, Saralees 1 Pellarin, Federico 1 Quirós Gracián, Adolfo 1 Reid, Gregory John 1 Roques, Julien 1 Rossmann, Tobias 1 Schoutens, Hans 1 Simmons, William D. 1 Sit, William Yu 1 Skornyakov, Lev Anatolevich 1 Smirnov, Sergeĭ Nikolaevich 1 Szántó, Ágnes 1 Tomašić, Ivan 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, Xiaojing
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Cited in 45 Serials

 18 Journal of Symbolic Computation 11 Journal of Algebra 7 Journal of Mathematical Sciences (New York) 6 Advances in Applied Mathematics 5 Mathematics in Computer Science 4 Proceedings of the American Mathematical Society 4 Programming and Computer Software 3 Bulletin of the Australian Mathematical Society 3 Communications in Algebra 3 Advances in Mathematics 3 Journal of Systems Science and Complexity 2 Linear and Multilinear Algebra 2 Mathematics of Computation 2 Applied Mathematics and Computation 2 Journal of Soviet 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 Funkcialaj Ekvacioj. Serio Internacia 1 Journal of Number Theory 1 Journal of Pure and Applied Algebra 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Nagoya Mathematical Journal 1 Results in Mathematics 1 Acta Applicandae Mathematicae 1 Journal of Complexity 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 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 Forum of Mathematics, Sigma 1 Journal of Siberian Federal University. Mathematics & Physics
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Cited in 22 Fields

 80 Field theory and polynomials (12-XX) 43 Commutative algebra (13-XX) 22 Computer science (68-XX) 18 Difference and functional equations (39-XX) 11 Algebraic geometry (14-XX) 11 Associative rings and algebras (16-XX) 11 Partial differential equations (35-XX) 7 Mathematical logic and foundations (03-XX) 7 Ordinary differential equations (34-XX) 6 Numerical analysis (65-XX) 5 Special functions (33-XX) 4 Number theory (11-XX) 4 Fluid mechanics (76-XX) 3 Combinatorics (05-XX) 3 Group theory and generalizations (20-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Nonassociative rings and algebras (17-XX) 2 Several complex variables and analytic spaces (32-XX) 1 General and overarching topics; collections (00-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX)