Graded embeddings of finite dimensional simple graded algebras

被引：5

作者：

David, Ofir ^{[1
]}

机构：

[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

来源：

JOURNAL OF ALGEBRA | 2012年 / 367卷

关键词：

Polynomial identities; Graded identities; Graded simple algebras; Graded embedding; IDENTITIES;

D O I：

10.1016/j.jalgebra.2012.06.005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：120 / 141

页数：22

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