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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Format: | Article |
Language: | English |
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Wiley
2007-01-01
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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. |
format | Article |
id | doaj-art-7595fd6239bd414184830e63b861e9c4 |
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 |