Certain Rings Whose Simple Singular Modules Are nil-injective

Authors : Junchao Wei

Pages : 393-408

View : 15 | Download : 9

Publication Date : 9999-12-31

Article Type : Makaleler

Abstract :In this paper, we first study some characterizations of left min-abel ring, strongly left min-abel ring and left MC2 ring. Next, we discuss and generalize some well known results for a ring whose simple singular left modules are nil- injective. Finally, as a byproduct of these results we are able to show that if R is a left GMC2 left Goldie ring whose every simple singular left R - module is YJ- injective, then R is a finite product of simple left Goldie ring.
Keywords : Left minimal elements, Left min-abel rings, Strongly left min-abel rings, Left MC2 rings, Simple singular modules, Left nil- injective modules