Let G be an arbitrary abelian group. In the present paper we study the question of whether G-graded upper block triangular matrix algebras over a field of characteristic zero are determined, up to G-graded isomorphism, by their G-graded polynomial identities. We obtain some results for an elementary grading and, as a consequence, for any grading over an algebraically closed field. © 2014 Elsevier Inc.
Graded polynomial identities on upper block triangular matrix algebras / Onofrio Mario Di, Vincenzo; Spinelli, Ernesto. - In: JOURNAL OF ALGEBRA. - ISSN 0021-8693. - STAMPA. - 415:(2014), pp. 50-64. [10.1016/j.jalgebra.2014.06.007]
Graded polynomial identities on upper block triangular matrix algebras
SPINELLI, ERNESTO
2014
Abstract
Let G be an arbitrary abelian group. In the present paper we study the question of whether G-graded upper block triangular matrix algebras over a field of characteristic zero are determined, up to G-graded isomorphism, by their G-graded polynomial identities. We obtain some results for an elementary grading and, as a consequence, for any grading over an algebraically closed field. © 2014 Elsevier Inc.File allegati a questo prodotto
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