Almost Pure Ideals (Submodules) and Almost Regular Rings (Modules)

Imad Kh Salman; Nuhad S. Al-Mothafar

doi:10.24996/ijs.2019.60.8.18

Almost Pure Ideals (Submodules) and Almost Regular Rings (Modules)

Authors

Imad Kh Salman Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq
Nuhad S. Al-Mothafar Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2019.60.8.18

Keywords:

pure ideal, regular5ring, pure4submodule, regular1 module, almost pur2 submodule, almost4 regular module

Abstract

Let R1be a commutative2ring with identity and M be a unitary R-module. In this6work we7present almost pure8ideal (submodule) concept as a9generalization of pure10ideal (submodule). lso, we1generalize some9properties of8almost pure ideal (submodule). The 7study is almost regular6ring (R-module).

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Published

2019-08-26

Issue

Vol 60 No 8 (2019)

Section

Mathematics

How to Cite

[1]

I. K. Salman and N. S. Al-Mothafar, “Almost Pure Ideals (Submodules) and Almost Regular Rings (Modules)”, Iraqi Journal of Science, vol. 60, no. 8, pp. 1814–1819, Aug. 2019, doi: 10.24996/ijs.2019.60.8.18.