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One-sided Duo rings are McCoy

2015/12/02 by Michael Cary, Cary, Michael
Mathematics · #16K99 #16U99 #16W25 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Rings and Algebras (math.RA) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.1512.00575

openalex publication_date 2015/12/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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