International Journal of Mathematics and Mathematical Sciences
Volume 2007 (2007), Article ID 84840, 6 pages
doi:10.1155/2007/84840
Research Article
Some External Characterizations of SV-Rings and Hereditary Rings
Département de Mathématiques, Faculté des Sciences, BP 20 El Jadida, Morocco
Received 7 November 2006; Accepted 16 April 2007
Academic Editor: Francois Goichot
Copyright © 2007 A. Haily and H. Rahnaoui. 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.
Abstract
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.