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

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

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^{...

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Bibliographic Details
Date:2018
Main Authors: Guzman, Jesus Avila, Lazzarin, Joao
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
Subjects:
partial action
skew group ring
fixed ring
Morita context
Morita equivalence
semiprime ring
16S35
16R30
13C60
16N60
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/786
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
id oai:ojs.admjournal.luguniv.edu.ua:article-786
record_format ojs
spelling oai:ojs.admjournal.luguniv.edu.ua:article-7862018-04-04T08:43:10Z A Morita context related to finite groups acting partially on a ring Guzman, Jesus Avila Lazzarin, Joao partial action, skew group ring, fixed ring, Morita context, Morita equivalence, semiprime ring 16S35, 16R30, 13C60, 16N60 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 \(R\star_{\alpha}G\). Lugansk National Taras Shevchenko University 2018-04-04 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/786 Algebra and Discrete Mathematics; Vol 8, No 3 (2009) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/786/316 Copyright (c) 2018 Algebra and Discrete Mathematics
institution Algebra and Discrete Mathematics
baseUrl_str
datestamp_date 2018-04-04T08:43:10Z
collection OJS
language English
topic partial action
skew group ring
fixed ring
Morita context
Morita equivalence
semiprime ring
16S35
16R30
13C60
16N60
spellingShingle partial action
skew group ring
fixed ring
Morita context
Morita equivalence
semiprime ring
16S35
16R30
13C60
16N60
Guzman, Jesus Avila
Lazzarin, Joao
A Morita context related to finite groups acting partially on a ring
topic_facet partial action
skew group ring
fixed ring
Morita context
Morita equivalence
semiprime ring
16S35
16R30
13C60
16N60
format Article
author Guzman, Jesus Avila
Lazzarin, Joao
author_facet Guzman, Jesus Avila
Lazzarin, Joao
author_sort Guzman, Jesus Avila
title A Morita context related to finite groups acting partially on a ring
title_short A Morita context related to finite groups acting partially on a ring
title_full A Morita context related to finite groups acting partially on a ring
title_fullStr A Morita context related to finite groups acting partially on a ring
title_full_unstemmed A Morita context related to finite groups acting partially on a ring
title_sort morita context related to finite groups acting partially on a ring
description 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 \(R\star_{\alpha}G\).
publisher Lugansk National Taras Shevchenko University
publishDate 2018
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/786
work_keys_str_mv AT guzmanjesusavila amoritacontextrelatedtofinitegroupsactingpartiallyonaring
AT lazzarinjoao amoritacontextrelatedtofinitegroupsactingpartiallyonaring
AT guzmanjesusavila moritacontextrelatedtofinitegroupsactingpartiallyonaring
AT lazzarinjoao moritacontextrelatedtofinitegroupsactingpartiallyonaring
first_indexed 2025-07-17T10:36:37Z
last_indexed 2025-07-17T10:36:37Z
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