A Not on Fully (m,n)-stable modules relative to ideal

Abstract

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