A NOTE ON FULLY (m, n)-STABLE MODULES

Year 2009, Volume: 6 Issue: 6, 65 - 73, 01.12.2009

M. S. Abbas M. J. Mohammedali

Abstract

Let R be a commutative ring with non-zero identity element. For two fixed positive integers m and n. For two fixed positive integers m and n, a right R-module M is called fully (m, n)-stable, if θ(N) ⊆ N for each ngenerated submodule N of Mm and R-homomorphism θ : N → Mm. In this paper we give some characterization theorems and properties of fully (m, n)-stable modules which generalize the results of fully stable modules. Also we study and describe the maximal submodules of fully (m, n)-stable modules

Keywords

fully (m, n)-stable modules, (m, n)-Baer criterion, m-dual distinguished