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Communications in Algebra Volume 38, 2010 - Issue 2
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Original Articles

Crossed Products by Twisted Partial Actions: Separability, Semisimplicity, and Frobenius Properties

Dirceu Bagio Departamento de Matemática, Universidade Federal de Santa Maria, Santa Maria, Brazil
,
João Lazzarin Departamento de Matemática, Universidade Federal de Santa Maria, Santa Maria, Brazil
&
Antonio Paques Instituto de Matemática, Universidade Federal do Rio Grande do Sul, Porto Alegre, BrazilCorrespondence[email protected]
Pages 496-508 | Received 08 Feb 2008, Published online: 18 Feb 2010
 
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Abstract

In this article, we are concerned with the crossed product S = R☆α G by a twisted partial action α of a group G on a ring R. We give necessary and sufficient (resp., sufficient) conditions for S to be a separable (resp., Frobenius, semisimple) extension of R.

2000 Mathematics Subject Classification:

ACKNOWLEDGMENT

This article was partially supported by CAPES (Brazil).

Notes

Communicated by I. Shestakov.

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