International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 4, Pages 491-497
Department of Mathematics, Technical University of Cluj-Napoca, Str. C. Daicoviciu 15, Cluj-Napoca 400020, Romania
Received 23 September 2004; Revised 9 January 2005
Copyright © 2005 Iuliu Crivei. 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.
A submodule of a right -module is called -pure if is a monomorphism for every simple left -module , where is the inclusion homomorphism. We establish some properties of -pure submodules and use -purity to characterize commutative rings with every maximal ideal idempotent.