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On right McCoy rings and right McCoy rings relative to u.p.-monoids
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In this paper, we prove that all right duo rings are right McCoy relative to any u.p.-monoid. We also show that for any nontrivial u.p.-monoid M, the class of right McCoy rings relative to M is contained in the class of right McCoy rings, and we present an example of a u.p.-monoid M for which this containment is strict.
World Scientific Pub Co Pte Lt
Title: On right McCoy rings and right McCoy rings relative to u.p.-monoids
Description:
In this paper, we prove that all right duo rings are right McCoy relative to any u.
p.
-monoid.
We also show that for any nontrivial u.
p.
-monoid M, the class of right McCoy rings relative to M is contained in the class of right McCoy rings, and we present an example of a u.
p.
-monoid M for which this containment is strict.
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