General RM Rings

Volume 9, Issue 1, Article 3 - 2020

Authors: Chenar Abdul Kareem Ahmed

Copyright © 2020 . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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The concept of central RM rings is introduced in this paper as a generalization of RM rings. Since every RM ring is central RM we study the sufficient condition for a central RM ring to be a RM one. It is shown that every central reversible and hence every central symmetric is central RM ring, however converse implications are wrong. It is also proven that the polynomial ring R[x] is central RM ring if R is central RM and quasi-Armendariz. Also -RM ring has been studied with it is central.©2019 All rights reserved.

How To Cite This Article

Ch. AK. Ahmed, “General RM Rings”, General Letters in Mathematics, 9(1) (2020), 17-32.