Document Type : Revised File (highlighted)

Author

‎Department of Mathematics‎, ‎Higher Education center of Eghlid‎, ‎Eghlid‎, ‎Islamic Republic of Iran

Abstract

A ring $R$ is called right McCoy‎, ‎if for any zero-divisor‎
‎$f (x)$ in the polynomial ring $R[x]$‎, ‎there exists a nonzero element $c\in R$ with $f(x)c = 0$‎.
‎In this note‎, ‎we show that von Neumann regular McCoy rings are abelian‎. ‎This gives an‎
‎answer to the question posed in ``A‎. ‎R‎. ‎Nasr-Isfahani‎, ‎On semiprime right Goldie McCoy rings‎, ‎Comm‎. ‎Algebra.

Keywords