Let F be any field, G a finite abelian group and let A, B be F-algebras graded by subgroups of G. If M is a G-graded free (A, B)-bimodule, we describe the G-graded polynomial identities of the triangular algebra of M and, in case the field F has characteristic zero, we provide the description of its G-graded cocharacters by means of the graded cocharacters of A and B.
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Titolo: | Graded Polynomial Identities of Triangular Algebras |
Autori: | |
Data di pubblicazione: | 2019 |
Rivista: | |
Abstract: | Let F be any field, G a finite abelian group and let A, B be F-algebras graded by subgroups of G. If M is a G-graded free (A, B)-bimodule, we describe the G-graded polynomial identities of the triangular algebra of M and, in case the field F has characteristic zero, we provide the description of its G-graded cocharacters by means of the graded cocharacters of A and B. |
Handle: | http://hdl.handle.net/11586/263513 |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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