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

Authors : M S ABBAS, M J MOHAMMEDALİ

Pages : 65-73

View : 19 | Download : 9

Publication Date : 2009-12-01

Article Type : Research Paper

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 insert ignore into journalissuearticles values(m, n);-stable, if θinsert ignore into journalissuearticles values(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 insert ignore into journalissuearticles values(m, n);-stable modules which generalize the results of fully stable modules. Also we study and describe the maximal submodules of fully insert ignore into journalissuearticles values(m, n);-stable modules
Keywords : fully m, n, stable modules, m, n, Baer criterion, m dual distinguished