Graded polynomial identities of triangular algebras

JOURNAL OF PURE AND APPLIED ALGEBRA

卷:224

Article

Di Vincenzo, Onofrio M.¹  Nardozza, Vincenzo² 

[1] Univ Basilicata, Dipartimento Matemat Informat & Econ, Viale Ateneo Lucano 10, I-85100 Potenza, Italy

[2] Univ Bari, Dipartimento Matemat, Via Orabona 4, I-70125 Bari, Italy

关键词: Graded polynomial identities;    Graded algebra;    Graded cocharacters;   

DOI  :  10.1016/j.jpaa.2019.106256

来源: Elsevier

【 摘 要 】

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. (C) 2019 Elsevier B.V. All rights reserved.

【 授权许可】

Free