Notes on Approximately Pure Submodules Zahraa A. Mohammed

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Baghdad Science Journal

Abstract

Let R be a commutative ring with identity 1 and M be a unitary left R-module. A submodule N of an R-module M is said to be approximately pure submodule of an R-module, if for each ideal I of R. The main purpose of this paper is to study the properties of the following concepts: approximately pure essentialsubmodules, approximately pure closedsubmodules and relative approximately pure complement submodules. We prove that: when an R-module M is an approximately purely extending modules and N be Ap-puresubmodulein M, if M has the Ap-pure intersection property then N is Ap purely extending.

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Journal BS. Notes on Approximately Pure Submodules. BSJ [Internet]. 1Dec.2013 [cited 27Sep.2020];10(4):1269-72. Available from: http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/2839
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