Direct decompositions of artinian modules related to formations of groups

We survey direct decompositions of artinian modules over group rings into two summands where all the chief factors of the first are \(\mathfrak{X}\)–central and all the chief factors of the other is \(\mathfrak{X}\)–eccentric, where \(\mathfrak{X}\) is a certain formation of finite groups.

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Date:2018
Main Authors: Kurdachenko, Leonid A., Otal, Javier
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
Subjects:
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/953
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
id admjournalluguniveduua-article-953
record_format ojs
spelling admjournalluguniveduua-article-9532018-05-13T06:43:21Z Direct decompositions of artinian modules related to formations of groups Kurdachenko, Leonid A. Otal, Javier decompositions, artinian modules, formation of groups 20C07, 20D10, 20F24 We survey direct decompositions of artinian modules over group rings into two summands where all the chief factors of the first are \(\mathfrak{X}\)–central and all the chief factors of the other is \(\mathfrak{X}\)–eccentric, where \(\mathfrak{X}\) is a certain formation of finite groups. Lugansk National Taras Shevchenko University 2018-05-13 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/953 Algebra and Discrete Mathematics; Vol 2, No 1 (2003) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/953/482 Copyright (c) 2018 Algebra and Discrete Mathematics
institution Algebra and Discrete Mathematics
baseUrl_str
datestamp_date 2018-05-13T06:43:21Z
collection OJS
language English
topic decompositions
artinian modules
formation of groups
20C07
20D10
20F24
spellingShingle decompositions
artinian modules
formation of groups
20C07
20D10
20F24
Kurdachenko, Leonid A.
Otal, Javier
Direct decompositions of artinian modules related to formations of groups
topic_facet decompositions
artinian modules
formation of groups
20C07
20D10
20F24
format Article
author Kurdachenko, Leonid A.
Otal, Javier
author_facet Kurdachenko, Leonid A.
Otal, Javier
author_sort Kurdachenko, Leonid A.
title Direct decompositions of artinian modules related to formations of groups
title_short Direct decompositions of artinian modules related to formations of groups
title_full Direct decompositions of artinian modules related to formations of groups
title_fullStr Direct decompositions of artinian modules related to formations of groups
title_full_unstemmed Direct decompositions of artinian modules related to formations of groups
title_sort direct decompositions of artinian modules related to formations of groups
description We survey direct decompositions of artinian modules over group rings into two summands where all the chief factors of the first are \(\mathfrak{X}\)–central and all the chief factors of the other is \(\mathfrak{X}\)–eccentric, where \(\mathfrak{X}\) is a certain formation of finite groups.
publisher Lugansk National Taras Shevchenko University
publishDate 2018
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/953
work_keys_str_mv AT kurdachenkoleonida directdecompositionsofartinianmodulesrelatedtoformationsofgroups
AT otaljavier directdecompositionsofartinianmodulesrelatedtoformationsofgroups
first_indexed 2025-12-02T15:47:00Z
last_indexed 2025-12-02T15:47:00Z
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