Ring theoretic properties of partial crossed products and related themes

JOURNAL OF ALGEBRA

卷:493

Article

Bemm, Laerte¹  Cortes, Wagner² 

[1] Univ Estadual Maringa, Dept Matemat, Ave Colombo 5790, BR-87020900 Maringa, PR, Brazil

[2] Univ Fed Rio Grande do Sul, Inst Matemat, BR-91509900 Porto Alegre, RS, Brazil

关键词: Twisted partial action;    Partial crossed product;    Artinian rings;    Krull dimension;    Homological dimension;   

DOI  :  10.1016/j.jalgebra.2017.09.023

来源: Elsevier

【 摘 要 】

In this paper we work with partial actions and unital twisted partial actions of groups. We investigate ring theoretic properties of partial crossed products and partial skew group rings as artinianity, noetherianity, perfect property, semilocal property, semiprimary property and Krull dimension. Moreover, we consider triangular matrix representation of partial skew group rings, weak and global dimensions of partial crossed products. Finally we study when the partial crossed products are Frobenius algebras. (C) 2017 Published by Elsevier Inc.

【 授权许可】

Free