Von Neumann Regular McCoy Rings.

A ring R is said to be right McCoy, if for every f(x),g(x) in the polynomial ring R[x], with f(x)g(x)=0 there exists a nonzero element c∈R with f(x)c=0 . In this note, we show that von Neumann regular McCoy rings are abelian . This gives a positive answer to the question rised in Comm . Algebra 42 (2014) 1565- 1570." [ABSTRACT FROM AUTHOR]