A Morita context related to finite groups acting partially on a~ring
Algebra and discrete mathematics, no. 3 (2009), pp. 49-61
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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, semiprime ring.
Mots-clés : Morita context, Morita equivalence
Mots-clés : Morita context, Morita equivalence
@article{ADM_2009_3_a4,
author = {Jes\'us \'Avila Guzm\'an and Jo\~a Lazzarin},
title = {A {Morita} context related to finite groups acting partially on a~ring},
journal = {Algebra and discrete mathematics},
pages = {49--61},
publisher = {mathdoc},
number = {3},
year = {2009},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ADM_2009_3_a4/}
}
Jesús Ávila Guzmán; Joã Lazzarin. A Morita context related to finite groups acting partially on a~ring. Algebra and discrete mathematics, no. 3 (2009), pp. 49-61. http://geodesic.mathdoc.fr/item/ADM_2009_3_a4/