摘要
A ring R is called right almost MGP-injective (or AMGP-injective) if, for any 0 not equal a a R, there exists an element b a R such that ab = ba not equal 0 and any right R-monomorphism from abR to R can be extended to an endomorphism of R. In the paper, several properties of these rings are establshed and some interesting results are obtained. By using the concept of right AMGP-injective rings, we present some new characterizations of QF-rings, semisimple Artinian rings, and simple Artinian rings.
- 出版日期2014-4
- 单位嘉兴学院