publication . Article . 2020

General RM Rings

Chenar Abdul Kareem Ahmed;
Open Access English
  • Published: 01 Sep 2020 Journal: General Letters in Mathematics, volume 9, issue 1, pages 17-32 (issn: 2519-9269, eissn: 2519-9277, Copyright policy)
  • Publisher: Refaad
Abstract
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
Subjects
free text keywords: reflexive ring, central reflexive ring, matrix ring, α-rigid ring, dorroh extension, lcsh:Mathematics, lcsh:QA1-939
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