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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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
University of Tehran
2021-09-01
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| Series: | Journal of Sciences, Islamic Republic of Iran |
| Subjects: | |
| Online Access: | https://jsciences.ut.ac.ir/article_82140_00fdf1a1ff5378856adfa8d64d941eb6.pdf |
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| Summary: | 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.” |
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| ISSN: | 1016-1104 2345-6914 |