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Algebra and Discrete Mathematics, 2009, Issue 3, Pages 49–61 (Mi adm133)  

This article is cited in 4 scientific papers (total 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
Full-text PDF (246 kB) Citations (4)
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.
Received: 30.08.2009
Revised: 20.09.2009
Bibliographic databases:
Document Type: Article
Language: English
Citation: Jesús Ávila Guzmán, Joã Lazzarin, “A Morita context related to finite groups acting partially on a ring”, Algebra Discrete Math., 2009, no. 3, 49–61
Citation in format AMSBIB
\Bibitem{GuzLaz09}
\by Jes\'us~\'Avila~Guzm\'an, Jo\~a~Lazzarin
\paper A Morita context related to finite groups acting partially on a~ring
\jour Algebra Discrete Math.
\yr 2009
\issue 3
\pages 49--61
\mathnet{http://mi.mathnet.ru/adm133}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2640387}
\zmath{https://zbmath.org/?q=an:1199.16046}
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  • https://www.mathnet.ru/eng/adm/y2009/i3/p49
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Algebra and Discrete Mathematics
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