On SAP-rings

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

The rings whose simple right modules are absolutely pure are called right $SAP$-rings. We give a new characterization of right $SAP$ rings, right $V$ rings, and von Neumann regular rings. We also obtain a new decomposition theory of right selfinjective von Neumann regular rings. The relationships between $SAP$-rings, $V$-rings, and von Neumann regular rings are explored. Some recent results obtained by Faith are generalized and the results of Wu-Xia are strengthened.
13 pages, no figures

Keywords

Commutative Algebra, Rings and Algebras, 16A30,16A64

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/168953

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0606158
 http://arxiv.org/abs/math/0606158

Collections

arXiv