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Essentially Quasi-Invertible Submodules and Essentially Quasi-Dedekind Modules | ||
| Ibn Al-Haitham Journal For Pure And Applied Science | ||
| Article 1, Volume 24, Issue 3, 2011, Pages 217-228 | ||
| Authors | ||
| Th. Y. Ghawi; I.M-A Hadi | ||
| Abstract | ||
| Let R be a commutative ring with identity . In this paper we study the concepts of essentially quasi-invertible submodules and essentially quasi-Dedekind modules as a generalization of quasi-invertible submodules and quasi-Dedekind modules . Among the results that we obtain is the following : M is an essentially quasi-Dedekind module if and only if M is aK-nonsingular module,where a module M is K-nonsingular if, for each , Kerf ≤e M implies f = 0 . | ||
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