On fully (m,n)‎-stable modules relative to an ideal a of Rn*m

Abstract EN

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.

Key words: fully (m,n) -stable modules relative to an ideal A of n m R  ,(m,n)- multiplication modules and (m,n)-quasi injective modules.