Some Results on Weak Essential Submodules Muna Abbas Ahmed

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Baghdad Science Journal

Abstract

Throughout this paper R represents commutative ring with identity and M is a unitary left R-module. The purpose of this paper is to investigate some new results (up to our knowledge) on the concept of weak essential submodules which introduced by Muna A. Ahmed, where a submodule N of an R-module M is called weak essential, if N ? P ? (0) for each nonzero semiprime submodule P of M. In this paper we rewrite this definition in another formula. Some new definitions are introduced and various properties of weak essential submodules are considered.

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Journal BS. Some Results on Weak Essential Submodules. BSJ [Internet]. 4Sep.2016 [cited 7Aug.2020];13(3):0599. Available from: http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/2304
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