Graded embeddings of finite dimensional simple graded algebras

JOURNAL OF ALGEBRA

卷:367

Article

David, Ofir

关键词: Polynomial identities;    Graded identities;    Graded simple algebras;    Graded embedding;   

DOI  :  10.1016/j.jalgebra.2012.06.005

来源: Elsevier

【 摘 要 】

Let A, B be finite dimensional G-graded algebras over an algebraically closed field K with char(K) = 0, where G is an abelian group, and let Id(G)(A) be the set of graded identities of A (resp. Id(G)(B)). We show that if A, B are G-simple then there is a graded embedding phi : A -> B if and only if Id(G)(B) subset of Id(G)(A). We also give a weaker generalization for the case where A is G-semisimple and B is arbitrary. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free