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.

Block-triangular matrix algebras and factorable ideals of graded polynomial identities

LA SCALA, Roberto
2004

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11586/46774
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