Let G be a finite abelian group and A be a G-graded algebra satisfying a G-graded polynomial identity. We construct a model for the relatively-free G-graded algebra of the G-graded algebra of block-triangular matrices with entries from A. As a consequence, we prove under some hypothesis on the algebra A the factoring property for the block-triangular matrix algebra UT(d1, … , dm; A) i.e., the block triangular matrix algebra such that its blocks are di× di matrix algebras with entries from A.
On the factorization of TG -ideals of graded matrix algebras
Centrone L.;
2018-01-01
Abstract
Let G be a finite abelian group and A be a G-graded algebra satisfying a G-graded polynomial identity. We construct a model for the relatively-free G-graded algebra of the G-graded algebra of block-triangular matrices with entries from A. As a consequence, we prove under some hypothesis on the algebra A the factoring property for the block-triangular matrix algebra UT(d1, … , dm; A) i.e., the block triangular matrix algebra such that its blocks are di× di matrix algebras with entries from A.File in questo prodotto:
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