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- W2003355196 abstract "We study the graded polynomial identities of block-triangular matrix algebras with respect to the grading defined by an abelian group G . In particular, we describe conditions for the T G -ideal of a such algebra to be factorable as a product of T G -ideals corresponding to the algebras defining the diagonal blocks. Moreover, for the factorable T 2 -ideal of a superalgebra we give a formula for computing its sequence of graded cocharacters once given the sequences of cocharacters of the T 2 -ideals that factorize it. We finally apply these results to a specific example of block-triangular matrix superalgebra." @default.
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- W2003355196 date "2004-09-01" @default.
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- W2003355196 title "Block-triangular matrix algebras and factorable ideals of graded polynomial identities" @default.
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- W2003355196 doi "https://doi.org/10.1016/j.jalgebra.2004.05.010" @default.
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