On Shirshov bases of graded algebras

Fedor Petrov; Pasha Zusmanovich

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On Shirshov bases of graded algebras

机译：在希尔肖夫基础上的渐变代数

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摘要

We prove that if the neutral component in a finitely-generated associative algebra graded by a finite group has a Shirshov base, then so does the whole algebra.

机译：我们证明，如果由有限组定级的有限生成的关联代数中的中性成分具有Shirshov基，那么整个代数也是如此。

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来源
《Israel Journal of Mathematics》 |2013年第1期|23-28|共6页
作者
Fedor Petrov; Pasha Zusmanovich;
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作者单位

St. Petersburg Department of Steklov Institute of Mathematics">(1);

Department of Mathematics and Mechanics St. Petersburg State University">(2);

Department of Mathematics Tallinn University of Technology">(3);

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正文语种 eng
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On Shirshov bases of graded algebras

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