VỀ VÀNH HẦU NIL- NỘI XẠ YẾU
Abstract
A ring R is called right almost weakly nil-injective (or AWNinjective),if every 0 6= a 2 N(R), there exits an integer n = n(a) > 0,an 6= 0 and a left ideal Xan such that lr(an) = Ran Xan. In this paper,we give some characterizations and properties of AWN-injective ring, whichare proper generalization of a Wnil-injective ring. We obtain some propertiesabout regularity of right AWN-injective ring and give some conditions for aright AWN-injective rings to be an right self-injective rings.References
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