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

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, if for each n-generated submodule of Mm and R-homomorphism. In this paper we give some characterization theorems and properties of fully (m,n) -stable modules relative to an ideal A of. which generalize the results of fully stable modules relative to an ideal A of R.

Abstract licence: CC BY

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