General RM Rings
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, how...
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Format: | Article |
Language: | English |
Published: |
Refaad
2020-09-01
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Series: | General Letters in Mathematics |
Subjects: | |
Online Access: | https://www.refaad.com/Files/GLM/GLM-9-1-3.pdf |
Summary: | 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 α-RM ring has been studied with it is central |
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ISSN: | 2519-9269 2519-9277 |