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1. CMB 2009 (vol 52 pp. 267)

Ko\c{s}an, Muhammet Tamer
Extensions of Rings Having McCoy Condition
Let $R$ be an associative ring with unity. Then $R$ is said to be a {\it right McCoy ring} when the equation $f(x)g(x)=0$ (over $R[x]$), where $0\neq f(x),g(x) \in R[x]$, implies that there exists a nonzero element $c\in R$ such that $f(x)c=0$. In this paper, we characterize some basic ring extensions of right McCoy rings and we prove that if $R$ is a right McCoy ring, then $R[x]/(x^n)$ is a right McCoy ring for any positive integer $n\geq 2$ .

Keywords:right McCoy ring, Armendariz ring, reduced ring, reversible ring, semicommutative ring
Categories:16D10, 16D80, 16R50

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