Monoid rings and the McCoy's theorem

Articles in Press

Document Type : Research Paper

Authors

Department of Mathematics‎, ‎Tafresh University‎, ‎Tafresh‎, ‎Iran

Abstract

‎Let $M$ be a nilpotent quotient of a free monoid‎. ‎satisfying the‎ ‎monoid ring $R[M]$ in the McCoy's theorem for any semiprime or right‎ ‎APP ring $R$ is proven‎. ‎Also‎, ‎it is shown that $R[M]$ is right McCoy‎ ‎for any reduced ring $R$‎.‎

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Journal of Algebra and Related Topics

Articles in Press, Corrected Proof
Available Online from 27 December 2025

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