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JOURNALS // Algebra and Discrete Mathematics // Archive

Algebra Discrete Math., 2009 Issue 3, Pages 49–61 (Mi adm133)

This article is cited in 4 papers

RESEARCH ARTICLE

A Morita context related to finite groups acting partially on a ring

Jesús Ávila Guzmána, Joã Lazzarinb

a Departamento de Matemáticas y Estadística, Universidad del Tolima, Ibagué, Colombia
b Departamento de Matemática, Universidade Federal de Santa Maria, 97105–900, Santa Maria–RS, Brazil

Abstract: In this paper we consider partial actions of groups on rings, partial skew group rings and partial fixed rings. We study a Morita context associated to these rings, $\alpha$-partial Galois extensions and related aspects. Finally, we establish conditions to obtain a Morita equivalence between $R^{\alpha}$ and $R\star_{\alpha}G$.

Keywords: partial action, skew group ring, fixed ring, Morita context, Morita equivalence, semiprime ring.

MSC: 16S35, 16R30, 13C60, 16N60

Received: 30.08.2009
Revised: 20.09.2009

Language: English



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