Turkish Journal of Mathematics
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.
DOI
-
Keywords
Left minimal elements, Left min-abel rings, Strongly left min-abel rings, Left MC2 rings, Simple singular modules, Left nil- injective modules
First Page
393
Last Page
408
Recommended Citation
WEI, J (2008). Certain Rings Whose Simple Singular Modules Are nil-injective. Turkish Journal of Mathematics 32 (4): 393-408. https://doi.org/-
