Some External Characterizations of SV-Rings and Hereditary Rings

We introduce a new class of rings which we call AI-rings. By applying this property to endomorphism rings, we give characterizations of semi-Artinian V-rings and hereditary rings.

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Main Authors: A. Haily, H. Rahnaoui
Format: Article
Language:English
Published: Wiley 2007-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2007/84840
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author A. Haily
H. Rahnaoui
author_facet A. Haily
H. Rahnaoui
author_sort A. Haily
collection DOAJ
description We introduce a new class of rings which we call AI-rings. By applying this property to endomorphism rings, we give characterizations of semi-Artinian V-rings and hereditary rings.
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 2007-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-7595fd6239bd414184830e63b861e9c42025-02-03T06:13:22ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252007-01-01200710.1155/2007/8484084840Some External Characterizations of SV-Rings and Hereditary RingsA. Haily0H. Rahnaoui1Département de Mathématiques, Faculté des Sciences, BP 20 El Jadida, MoroccoDépartement de Mathématiques, Faculté des Sciences, BP 20 El Jadida, MoroccoWe introduce a new class of rings which we call AI-rings. By applying this property to endomorphism rings, we give characterizations of semi-Artinian V-rings and hereditary rings.http://dx.doi.org/10.1155/2007/84840
spellingShingle A. Haily
H. Rahnaoui
Some External Characterizations of SV-Rings and Hereditary Rings
International Journal of Mathematics and Mathematical Sciences
title Some External Characterizations of SV-Rings and Hereditary Rings
title_full Some External Characterizations of SV-Rings and Hereditary Rings
title_fullStr Some External Characterizations of SV-Rings and Hereditary Rings
title_full_unstemmed Some External Characterizations of SV-Rings and Hereditary Rings
title_short Some External Characterizations of SV-Rings and Hereditary Rings
title_sort some external characterizations of sv rings and hereditary rings
url http://dx.doi.org/10.1155/2007/84840
work_keys_str_mv AT ahaily someexternalcharacterizationsofsvringsandhereditaryrings
AT hrahnaoui someexternalcharacterizationsofsvringsandhereditaryrings