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 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. ‎Al...

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Bibliographic Details
Main Author: Masoome Zahiri
Format: Article
Language:English
Published: University of Tehran 2021-09-01
Series:Journal of Sciences, Islamic Republic of Iran
Subjects:
Online Access:https://jsciences.ut.ac.ir/article_82140_00fdf1a1ff5378856adfa8d64d941eb6.pdf
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