Title of article
J-McCoy Rings Relative To A Monoid
Author/Authors
Salimi, A Central Tehran Branch - Islamic Azad University , Sahebi, Sh Central Tehran Branch - Islamic Azad University , Deldar, M Central Tehran Branch - Islamic Azad University
Pages
12
From page
57
To page
68
Abstract
Let R be a ring and M be a monoid. We introduce the notion
of J -M-McCoy rings, as a generalization of J -McCoy and weak MMcCoy
rings, and investigate their properties. It is proved that for u.p.-
monoids M and N if R
J (R) is reversible, then R is J -M ×N -McCoy. Also,
it is shown that a ring R is J -M-McCoy if and only if R[x] is J -
M-McCoy if and only if Tn(R) is J -M-McCoy, while the J -M-McCoy
property is not Morita invariant
Keywords
J-McCoy rings , weak M-McCoy rings , J- M-McCoy rings , reversible rings , J-semisimple rings
Serial Year
2019
Record number
2493841
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