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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| Datum: | 2018 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Lugansk National Taras Shevchenko University
2018
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/740 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543162898579456 |
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| 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. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-04-26T00:55:03Z |
| 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. |
| first_indexed | 2025-12-02T15:36:52Z |
| format | Article |
| id | admjournalluguniveduua-article-740 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:36:52Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-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 |
| 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 |
| title | 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_short | On Baer-Shemetkov’s decomposition in modules and related topics |
| title_sort | on baer-shemetkov’s decomposition in modules and related topics |
| topic | formation modules over group rings artinian modules direct decomposition complement supplement 13E10 20F17 20F19 |
| topic_facet | formation modules over group rings artinian modules direct decomposition complement supplement 13E10 20F17 20F19 |
| 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 |