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On large indecomposable modules, endo-wild representation type and right pure semisimple rings

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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Bibliographic Details
Main Author: Simson, Daniel
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
Subjects:
Brauer-Thrall conjectures
pure semisimple rings
Kaplansky’s test problem
endo-wild representation type
prinjective modules
16G60
16S50
15A21
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/960
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spelling 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
last_indexed 2024-04-12T06:26:23Z
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