On Fully (m,n)-stable modules relative to an ideal A of n m R

Let R be a commutative ring with non-zero identity element. For two fixed positive integers m and n. A right R-module M is called fully (m,n) -stable relative to ideal A of n m R ? , if N N M A n ? ( ) ? ? for each n-generated submodule of Mm and Rhomomorphism m ? : N?M . In this paper we give some characterization theorems and properties of fully (m,n) -stable modules relative to an ideal A of n m R ? . which generalize the results of fully stable modules relative to an ideal A of R.