MC2 Rings
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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.
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.
참고문헌 (14)
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