Von Neumann Regular McCoy Rings

Document Type : Original Research Articles

Author
Masoome Zahiri
‎Department of Mathematics‎, ‎Higher Education center of Eghlid‎, ‎Eghlid‎, ‎Islamic Republic of Iran
10.22059/jsciences.2021.308407.1007561
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 there exists 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 ‎positive answer to the question rised in ‎ ‎Comm‎. ‎Algebra  42 (2014) 1565- 1570.”
Keywords
McCoy rings‎
‎Von Neumann regular rings
‎Abelian rings
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Journal of Sciences, Islamic Republic of Iran
Volume 32, Issue 3
Summer 2021
Pages 243-244