Almost MGP-Injective Rings

  • Zhu Zhanmin

Abstract

A ring R is called right almost MGP-injective (or AMGP-injective) if, for any 0 ≠ aR, there exists an element bR such that ab = ba ≠ 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.
Published
25.11.2013
How to Cite
ZhanminZ. “Almost MGP-Injective Rings”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, no. 11, Nov. 2013, pp. 1476–1481, http://umj.imath.kiev.ua/index.php/umj/article/view/2527.
Section
Research articles