Action type geometrical equivalence of representations of groups
In the paper we prove (Theorem 8.1) that there exists a continuum of non isomorphic simple modules over \(KF_{2}\) , where \( F_{2}\) is a free group with \(2\) generators (compare with [Ca] where a continuum of non isomorphic simple \(2\)-generated groups is constructed). Using this fact we give...
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| Date: | 2018 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Lugansk National Taras Shevchenko University
2018
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| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/945 |
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| Journal Title: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543175347273728 |
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| author | Plotkin, B. Tsurkov, A. |
| author_facet | Plotkin, B. Tsurkov, A. |
| author_sort | Plotkin, B. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-03-21T06:49:56Z |
| description | In the paper we prove (Theorem 8.1) that there exists a continuum of non isomorphic simple modules over \(KF_{2}\) , where \( F_{2}\) is a free group with \(2\) generators (compare with [Ca] where a continuum of non isomorphic simple \(2\)-generated groups is constructed). Using this fact we give an example of a non action type logically Noetherian representation (Section 9). |
| first_indexed | 2025-12-02T15:37:44Z |
| format | Article |
| id | admjournalluguniveduua-article-945 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:37:44Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-9452018-03-21T06:49:56Z Action type geometrical equivalence of representations of groups Plotkin, B. Tsurkov, A. In the paper we prove (Theorem 8.1) that there exists a continuum of non isomorphic simple modules over \(KF_{2}\) , where \( F_{2}\) is a free group with \(2\) generators (compare with [Ca] where a continuum of non isomorphic simple \(2\)-generated groups is constructed). Using this fact we give an example of a non action type logically Noetherian representation (Section 9). Lugansk National Taras Shevchenko University 2018-03-21 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/945 Algebra and Discrete Mathematics; Vol 4, No 4 (2005) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/945/474 Copyright (c) 2018 Algebra and Discrete Mathematics |
| spellingShingle | Plotkin, B. Tsurkov, A. Action type geometrical equivalence of representations of groups |
| title | Action type geometrical equivalence of representations of groups |
| title_full | Action type geometrical equivalence of representations of groups |
| title_fullStr | Action type geometrical equivalence of representations of groups |
| title_full_unstemmed | Action type geometrical equivalence of representations of groups |
| title_short | Action type geometrical equivalence of representations of groups |
| title_sort | action type geometrical equivalence of representations of groups |
| topic | |
| topic_facet | |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/945 |
| work_keys_str_mv | AT plotkinb actiontypegeometricalequivalenceofrepresentationsofgroups AT tsurkova actiontypegeometricalequivalenceofrepresentationsofgroups |