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David, Ofir
Journal of algebra, 10/2012, Letnik: 367Journal Article
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 IdG(A) be the set of graded identities of A (resp. IdG(B)). We show that if A, B are G-simple then there is a graded embedding ϕ:A→B if and only if IdG(B)⊆IdG(A). We also give a weaker generalization for the case where A is G-semisimple and B is arbitrary.
