On almost weakly np-injective rings

الملخص EN

The ring R is called right almost weakly up - injective, if for any a G N2(R).

there exists a positive integer n and a left ideal X^n of R such that /r(an) = Ran©Xan.

In this paper, we give some characteijization and properties of almost weakly np - injective rings.

And we study the regularity of right almost weakly np - injective ring and in the same time, when every simple (simple singular) right R - module is almost weakly np - injective, we also give some properties of an R.