|
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
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
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
Linking options:
https://www.mathnet.ru/eng/adm133 https://www.mathnet.ru/eng/adm/y2009/i3/p49
|
Statistics & downloads: |
Abstract page: | 165 | Full-text PDF : | 64 | First page: | 1 |
|