Ring theoretic properties of partial crossed products and related themes

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. Mo...

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Bibliographic Details
Published in:Journal of algebra 2018-01, Vol.493, p.267-296
Main Authors: Bemm, Laerte, Cortes, Wagner
Format: Article
Language:English
Subjects:
Artinian rings
Homological dimension
Krull dimension
Partial crossed product
Twisted partial action
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Summary: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.
ISSN:0021-8693
1090-266X
DOI:10.1016/j.jalgebra.2017.09.023