Title of article :
Von Neumann Regular McCoy Rings
Author/Authors :
Zahiri, M Department of Mathematics - Higher Education center of Eghlid - Eghlid , Islamic Republic of Iran
Abstract :
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 thereexists a nonzero element cϵR with f(x)c=0 . In this note , we show
that von Neumann regular McCoy rings are abelian . This gives a positiveanswer to the
question rised in Comm . Algebra 42 (2014) 1565- 1570.”
Keywords :
Abelian rings , Von Neumann regular rings , McCoy rings
Journal title :
Journal of Sciences Islamic Republic of Iran