Semi-commutativity and the McCoy condition
By Pace P. Nielsen. 2006
145 citations recorded by the source corpus.
Abstract We prove that all reversible rings are McCoy, generalizing the fact that both commutative and reduced rings are McCoy. We then give an example of a semi-commutative ring that is not right McCoy. At the same time, we also show that semi-commutative rings do have a property close to the McCoy condition.
Subfields: Algebra and Number Theory
View Paper: https://www.semanticscholar.org/paper/c5a1363fc816a49c84152d1840ccf508872cdeda
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In Algebra and Number Theory
Citations in the corpus
- Rings with Property (A) and their extensions (2007, background): “Recently Nielsen [23] 2], and moreover it is not true for noncommutative rings [27].”