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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Lugansk National Taras Shevchenko University
2018
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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 |
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Algebra and Discrete Mathematics |
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2018-03-21T06:49:56Z |
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OJS |
| language |
English |
| topic |
|
| spellingShingle |
Plotkin, B. Tsurkov, A. Action type geometrical equivalence of representations of groups |
| topic_facet |
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| format |
Article |
| author |
Plotkin, B. Tsurkov, A. |
| author_facet |
Plotkin, B. Tsurkov, A. |
| author_sort |
Plotkin, B. |
| title |
Action type geometrical equivalence of representations of groups |
| title_short |
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_sort |
action type geometrical equivalence of representations of groups |
| 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). |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/945 |
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AT plotkinb actiontypegeometricalequivalenceofrepresentationsofgroups AT tsurkova actiontypegeometricalequivalenceofrepresentationsofgroups |
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2025-12-02T15:37:44Z |
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2025-12-02T15:37:44Z |
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1850411439403040768 |