On MP-Rings
Section: Research Paper
Pages
35-40Keywords:
MP-ring,
strongly regular,
W-ideal,
NBF-ring
Abstract
An ideal I of a ring R is said to be right (left) Pure if for every , there is such that . A ring R is said to be right (left) MP-ring, if every maximal right (left) ideal of R is a left (right) pure. In this paper have been studied some new properties of MP-rings, there connections with strongly regular rings.
Some of the main result of the present work are as follows:
1- Let R be aright MP-ring, r(a) is a W-ideal for all then
a- Every essential ideal is a direct summand.
b- R is strongly regular ring.
2- Let R be aright MP-ring. If R is right almost abelian left NBF ring, then R is strongly regular.
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How to Cite
On MP-Rings. (2020). AL-Rafidain Journal of Computer Sciences and Mathematics, 14(1), 35-40. https://doi.org/10.33899/csmj.2020.164797
Copyright and Licensing
This work is licensed under a Creative Commons Attribution 4.0 International License.
How to Cite
On MP-Rings. (2020). AL-Rafidain Journal of Computer Sciences and Mathematics, 14(1), 35-40. https://doi.org/10.33899/csmj.2020.164797
