We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
Rings Whose Every Simple Left R-module is Gp-injective.
- Authors
Guang Xiao; Wenting Tong
- Abstract
In this paper, we extend some results of V rings to GP - V rings and GP - V' rings. Some characterizations of strongly regular rings are obtained. We show that (1) R is strongly regular if mid only if R is a left GP - V ring whose every maximal left ideal is weakly right ideal if and only if R is an abelian left GP - V' ring whose every maximal essential left ideal is weakly right ideal. (2) If R is a left GP - V' ring whose every complement right ideal is an ideal, then R is biregular. (3) If R is a left (resp. right) MI, left GP -V' ring whose every complement left ideal is an ideal, then R is left (resp. right) self-injective and regular.
- Subjects
RING theory; ASSOCIATIVE rings; ALGEBRA; MATHEMATICS; MATHEMATICAL analysis
- Publication
Southeast Asian Bulletin of Mathematics, 2006, Vol 30, Issue 5, p969
- ISSN
0129-2021
- Publication type
Article