A Note on Elongations of Summable QTAG-Modules

A right module M over an associative ring with unity is a QTAG-module if every finitely generated submodule of any homomorphic image of M is a direct sum of uniserial modules. In this paper we find a suitable condition under which a special ω-elongation of a summable QTAG-module by a (ω+k)-projectiv...

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Detalles Bibliográficos
Autores principales: Mehdi, Alveera, Sikander, Fahad, Naji, Sabah A. R. K.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2013
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3888730/
https://www.ncbi.nlm.nih.gov/pubmed/24459429
http://dx.doi.org/10.1155/2013/384131
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author Mehdi, Alveera
Sikander, Fahad
Naji, Sabah A. R. K.
author_facet Mehdi, Alveera
Sikander, Fahad
Naji, Sabah A. R. K.
author_sort Mehdi, Alveera
collection PubMed
description A right module M over an associative ring with unity is a QTAG-module if every finitely generated submodule of any homomorphic image of M is a direct sum of uniserial modules. In this paper we find a suitable condition under which a special ω-elongation of a summable QTAG-module by a (ω+k)-projective QTAG-module is also a summable QTAG-module.
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spelling pubmed-38887302014-01-23 A Note on Elongations of Summable QTAG-Modules Mehdi, Alveera Sikander, Fahad Naji, Sabah A. R. K. ScientificWorldJournal Research Article A right module M over an associative ring with unity is a QTAG-module if every finitely generated submodule of any homomorphic image of M is a direct sum of uniserial modules. In this paper we find a suitable condition under which a special ω-elongation of a summable QTAG-module by a (ω+k)-projective QTAG-module is also a summable QTAG-module. Hindawi Publishing Corporation 2013-12-26 /pmc/articles/PMC3888730/ /pubmed/24459429 http://dx.doi.org/10.1155/2013/384131 Text en Copyright © 2013 Alveera Mehdi et al. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Mehdi, Alveera
Sikander, Fahad
Naji, Sabah A. R. K.
A Note on Elongations of Summable QTAG-Modules
title A Note on Elongations of Summable QTAG-Modules
title_full A Note on Elongations of Summable QTAG-Modules
title_fullStr A Note on Elongations of Summable QTAG-Modules
title_full_unstemmed A Note on Elongations of Summable QTAG-Modules
title_short A Note on Elongations of Summable QTAG-Modules
title_sort note on elongations of summable qtag-modules
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3888730/
https://www.ncbi.nlm.nih.gov/pubmed/24459429
http://dx.doi.org/10.1155/2013/384131
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