On large indecomposable modules, endo-wild representation type and right pure semisimple rings
The existence of large indecomposable right \(R\)-modules over a right artinian ring \(R\) is discussed in connection with the pure semisimplicity problem and the endo-wildness of the category Mod(\(R\)) of right \(R\)-modules. Some conjectures and open problems are presented.
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| Дата: | 2018 |
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| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/960 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-9602018-05-13T07:14:40Z On large indecomposable modules, endo-wild representation type and right pure semisimple rings Simson, Daniel Brauer-Thrall conjectures, pure semisimple rings, Kaplansky’s test problem, endo-wild representation type, prinjective modules 16G60, 16S50, 15A21 The existence of large indecomposable right \(R\)-modules over a right artinian ring \(R\) is discussed in connection with the pure semisimplicity problem and the endo-wildness of the category Mod(\(R\)) of right \(R\)-modules. Some conjectures and open problems are presented. Lugansk National Taras Shevchenko University 2018-05-13 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/960 Algebra and Discrete Mathematics; Vol 2, No 2 (2003) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/960/489 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| collection |
OJS |
| language |
English |
| topic |
Brauer-Thrall conjectures pure semisimple rings Kaplansky’s test problem endo-wild representation type prinjective modules 16G60 16S50 15A21 |
| spellingShingle |
Brauer-Thrall conjectures pure semisimple rings Kaplansky’s test problem endo-wild representation type prinjective modules 16G60 16S50 15A21 Simson, Daniel On large indecomposable modules, endo-wild representation type and right pure semisimple rings |
| topic_facet |
Brauer-Thrall conjectures pure semisimple rings Kaplansky’s test problem endo-wild representation type prinjective modules 16G60 16S50 15A21 |
| format |
Article |
| author |
Simson, Daniel |
| author_facet |
Simson, Daniel |
| author_sort |
Simson, Daniel |
| title |
On large indecomposable modules, endo-wild representation type and right pure semisimple rings |
| title_short |
On large indecomposable modules, endo-wild representation type and right pure semisimple rings |
| title_full |
On large indecomposable modules, endo-wild representation type and right pure semisimple rings |
| title_fullStr |
On large indecomposable modules, endo-wild representation type and right pure semisimple rings |
| title_full_unstemmed |
On large indecomposable modules, endo-wild representation type and right pure semisimple rings |
| title_sort |
on large indecomposable modules, endo-wild representation type and right pure semisimple rings |
| description |
The existence of large indecomposable right \(R\)-modules over a right artinian ring \(R\) is discussed in connection with the pure semisimplicity problem and the endo-wildness of the category Mod(\(R\)) of right \(R\)-modules. Some conjectures and open problems are presented. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/960 |
| work_keys_str_mv |
AT simsondaniel onlargeindecomposablemodulesendowildrepresentationtypeandrightpuresemisimplerings |
| first_indexed |
2024-04-12T06:26:23Z |
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2024-04-12T06:26:23Z |
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1796109169115267072 |