TL;DR
This paper proves that one-sided Duo rings are McCoy rings and describes their polynomial annihilators, extending existing literature and providing new insights into ring theory.
Contribution
It establishes that one-sided Duo rings are McCoy rings and explicitly characterizes their polynomial annihilators, expanding the understanding of ring structures.
Findings
One-sided Duo rings are McCoy rings.
Explicit descriptions of polynomial annihilators in these rings.
Extension of existing diagrams in ring theory literature.
Abstract
In this paper we prove that one-sided Duo rings are (two-sided) McCoy. By doing so, we are then able to explicitly describe some of these ring element annihilators of polynomials in McCoy rings. We conclude the paper by showing the place of these results in the literature by way of an extension of a convenient diagram from a paper by Camillo and Nielsen.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Rings, Modules, and Algebras