University of Guilan Journal of Algebra and Related Topics 2345-3931 2025 12 27 Monoid rings and the McCoy's theorem 9319 10.22124/jart.2025.29511.1756 EN M. Habibi Department of Mathematics‎, ‎Tafresh University‎, ‎Tafresh‎, ‎Iran K. Paykan Department of Mathematics‎, ‎Tafresh University‎, ‎Tafresh‎, ‎Iran Journal Article 2025 01 07 ‎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 $R$‎.‎ APP ring‎ Free monoid‎ ‎McCoy ring‎ ‎McCoy's Theorem‎ Monoid‎ ‎ring‎ Triangular matrix ring‎ https://jart.guilan.ac.ir/article_9319_9e2280c4ddbd9621d3ad37fcc8f9d767.pdf