Hereditary stable tubes in module categories
The concepts of a self-hereditary stable tube \({\cal T}\) and a hereditary stable tube \({\cal T}\) in a module category \(\mod\, A\) are introduced, where \(A\) is a finite dimensional algebra over an algebraically closed field. Characterisations of self-hereditary stable tubes and here...
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| Datum: | 2018 |
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| Sprache: | English |
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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/863 |
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admjournalluguniveduua-article-8632018-03-21T12:28:31Z Hereditary stable tubes in module categories Simson, Daniel Skowronski, Andrzej stable tubes, tilted algebras, concealed algebras, Auslander-Reiten quiver 16G20, 16G70, 16E10, 18G20 The concepts of a self-hereditary stable tube \({\cal T}\) and a hereditary stable tube \({\cal T}\) in a module category \(\mod\, A\) are introduced, where \(A\) is a finite dimensional algebra over an algebraically closed field. Characterisations of self-hereditary stable tubes and hereditary stable tubes are given, and illustrative examples of such tubes are presented. Some open problems are presented. 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/863 Algebra and Discrete Mathematics; Vol 6, No 3 (2007) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/863/393 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
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| datestamp_date |
2018-03-21T12:28:31Z |
| collection |
OJS |
| language |
English |
| topic |
stable tubes tilted algebras concealed algebras Auslander-Reiten quiver 16G20 16G70 16E10 18G20 |
| spellingShingle |
stable tubes tilted algebras concealed algebras Auslander-Reiten quiver 16G20 16G70 16E10 18G20 Simson, Daniel Skowronski, Andrzej Hereditary stable tubes in module categories |
| topic_facet |
stable tubes tilted algebras concealed algebras Auslander-Reiten quiver 16G20 16G70 16E10 18G20 |
| format |
Article |
| author |
Simson, Daniel Skowronski, Andrzej |
| author_facet |
Simson, Daniel Skowronski, Andrzej |
| author_sort |
Simson, Daniel |
| title |
Hereditary stable tubes in module categories |
| title_short |
Hereditary stable tubes in module categories |
| title_full |
Hereditary stable tubes in module categories |
| title_fullStr |
Hereditary stable tubes in module categories |
| title_full_unstemmed |
Hereditary stable tubes in module categories |
| title_sort |
hereditary stable tubes in module categories |
| description |
The concepts of a self-hereditary stable tube \({\cal T}\) and a hereditary stable tube \({\cal T}\) in a module category \(\mod\, A\) are introduced, where \(A\) is a finite dimensional algebra over an algebraically closed field. Characterisations of self-hereditary stable tubes and hereditary stable tubes are given, and illustrative examples of such tubes are presented. Some open problems are presented. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/863 |
| work_keys_str_mv |
AT simsondaniel hereditarystabletubesinmodulecategories AT skowronskiandrzej hereditarystabletubesinmodulecategories |
| first_indexed |
2025-12-02T15:37:21Z |
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2025-12-02T15:37:21Z |
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1850411415780720640 |