On Baer-Shemetkov’s decomposition in modules and related topics

On Baer-Shemetkov’s decomposition in modules and related topics

This article is dedicated to the memory of an outstanding algebraist Leonid A. Shemetkov. His ideas and results not only shaped modern soluble finite group theory, but significantly influenced other branches of algebra. In this article, we traced the influence of L.A. Shemetkov's ideas on some...

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Date:2018
Main Authors: Kirichenko, V. V., Kurdachenko, L. A., Pypka, A. A., Subbotin, I. Ya.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
Subjects:
formation
modules over group rings
artinian modules
direct decomposition
complement
supplement
13E10
20F17
20F19
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/740
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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-740
record_format ojs
spelling oai:ojs.admjournal.luguniv.edu.ua:article-7402018-04-26T00:55:03Z On Baer-Shemetkov’s decomposition in modules and related topics Kirichenko, V. V. Kurdachenko, L. A. Pypka, A. A. Subbotin, I. Ya. formation, modules over group rings, artinian modules, direct decomposition, complement, supplement 13E10, 20F17, 20F19 This article is dedicated to the memory of an outstanding algebraist Leonid A. Shemetkov. His ideas and results not only shaped modern soluble finite group theory, but significantly influenced other branches of algebra. In this article, we traced the influence of L.A. Shemetkov's ideas on some areas of modules theory and infinite groups theory. Lugansk National Taras Shevchenko University 2018-04-26 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/740 Algebra and Discrete Mathematics; Vol 15, No 2 (2013) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/740/271 Copyright (c) 2018 Algebra and Discrete Mathematics
institution Algebra and Discrete Mathematics
baseUrl_str
datestamp_date 2018-04-26T00:55:03Z
collection OJS
language English
topic formation
modules over group rings
artinian modules
direct decomposition
complement
supplement
13E10
20F17
20F19
spellingShingle formation
modules over group rings
artinian modules
direct decomposition
complement
supplement
13E10
20F17
20F19
Kirichenko, V. V.
Kurdachenko, L. A.
Pypka, A. A.
Subbotin, I. Ya.
On Baer-Shemetkov’s decomposition in modules and related topics
topic_facet formation
modules over group rings
artinian modules
direct decomposition
complement
supplement
13E10
20F17
20F19
format Article
author Kirichenko, V. V.
Kurdachenko, L. A.
Pypka, A. A.
Subbotin, I. Ya.
author_facet Kirichenko, V. V.
Kurdachenko, L. A.
Pypka, A. A.
Subbotin, I. Ya.
author_sort Kirichenko, V. V.
title On Baer-Shemetkov’s decomposition in modules and related topics
title_short On Baer-Shemetkov’s decomposition in modules and related topics
title_full On Baer-Shemetkov’s decomposition in modules and related topics
title_fullStr On Baer-Shemetkov’s decomposition in modules and related topics
title_full_unstemmed On Baer-Shemetkov’s decomposition in modules and related topics
title_sort on baer-shemetkov’s decomposition in modules and related topics
description This article is dedicated to the memory of an outstanding algebraist Leonid A. Shemetkov. His ideas and results not only shaped modern soluble finite group theory, but significantly influenced other branches of algebra. In this article, we traced the influence of L.A. Shemetkov's ideas on some areas of modules theory and infinite groups theory.
publisher Lugansk National Taras Shevchenko University
publishDate 2018
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/740
work_keys_str_mv AT kirichenkovv onbaershemetkovsdecompositioninmodulesandrelatedtopics
AT kurdachenkola onbaershemetkovsdecompositioninmodulesandrelatedtopics
AT pypkaaa onbaershemetkovsdecompositioninmodulesandrelatedtopics
AT subbotiniya onbaershemetkovsdecompositioninmodulesandrelatedtopics
first_indexed 2025-07-17T10:37:18Z
last_indexed 2025-07-17T10:37:18Z
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