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.
Gespeichert in:
| Datum: | 2018 |
|---|---|
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Lugansk National Taras Shevchenko University
2018
|
| Schlagworte: | |
| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/960 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Algebra and Discrete Mathematics |
Institution
Algebra and Discrete Mathematics| _version_ | 1856543077783568384 |
|---|---|
| author | Simson, Daniel |
| author_facet | Simson, Daniel |
| author_sort | Simson, Daniel |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-05-13T07:14:40Z |
| 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. |
| first_indexed | 2025-12-02T15:50:32Z |
| format | Article |
| id | admjournalluguniveduua-article-960 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:50:32Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-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 |
| 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 |
| title | 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_short | 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 |
| topic | Brauer-Thrall conjectures pure semisimple rings Kaplansky’s test problem endo-wild representation type prinjective modules 16G60 16S50 15A21 |
| topic_facet | Brauer-Thrall conjectures pure semisimple rings Kaplansky’s test problem endo-wild representation type prinjective modules 16G60 16S50 15A21 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/960 |
| work_keys_str_mv | AT simsondaniel onlargeindecomposablemodulesendowildrepresentationtypeandrightpuresemisimplerings |