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On the nilpotency degree of the algebra with identity xn=0

Published:2012-12 Issue: Volume:371 Page:350-366
ISSN:0021-8693
Container-title:Journal of Algebra
language:en
Short-container-title:Journal of Algebra

Author:

Lopatin Artem A.

Publisher

Elsevier BV

Subject

Algebra and Number Theory

Reference29 articles.

1. On the characteristic polynomial of a sum of matrices;Amitsur;Linear Multilinear Algebra,1980

2. Some estimations for nilpotence of nill-algebras over a field of an arbitrary characteristic and height theorem;Belov;Comm. Algebra,1992

3. Computational Aspects of Polynomial Identities;Kanel-Belov,2005

4. Subexponential estimations in Shirshov height theorem;Belov;Mat. Sb.,2012

5. Finite generating system of matrix invariants;Domokos;Math. Pannon.,2002

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Polynomial bound for the nilpotency index of finitely generated nil algebras;Algebra & Number Theory;2018-07-31

2. Generating invariant rings of quivers in arbitrary characteristic;Journal of Algebra;2017-11

3. Minimal system of generators for O(4)-invariants of two skew-symmetric matrices;Linear and Multilinear Algebra;2017-03-07

4. Rings;Springer Monographs in Mathematics;2014

5. ASSOCIATIVE NIL-ALGEBRAS OVER FINITE FIELDS;International Journal of Algebra and Computation;2013-12

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