A NOTE ON FULLY (m, n)-STABLE MODULES
Authors : M. S. Abbas, M. J. Mohammedali
Pages : 65-73
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Publication Date : 2009-12-01
Article Type : Other
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 modulesKeywords : fully (m, n)-stable modules, (m, n)-Baer criterion, m-dual distinguished