Notes on Approximately Pure Submodules

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Zahraa A. Mohammed

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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1.
Notes on Approximately Pure Submodules. Baghdad Sci.J [Internet]. 2013 Dec. 1 [cited 2024 Mar. 29];10(4):1269-72. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/2839
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How to Cite

1.
Notes on Approximately Pure Submodules. Baghdad Sci.J [Internet]. 2013 Dec. 1 [cited 2024 Mar. 29];10(4):1269-72. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/2839

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