- MC2 Rings
- Wei, Jun-Chao ;
- Kyungpook mathematical journal, volume 48, issue 4, 2008, Pages 651~663
- DOI : 10.5666/KMJ.2008.48.4.651

Abstract

In this paper, we first study some characterizations of left MC2 rings. Next, by introducing left nil-injective modules, we discuss and generalize some well known results for a ring whose simple singular left modules are Y J-injective. Finally, as a byproduct of these results we are able to show that if R is a left MC2 left Goldie ring whose every simple singular left R-module is nil-injective and GJcp-injective, then R is a finite product of simple left Goldie rings.