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Monoid rings and the McCoy's theorem | ||
| Journal of Algebra and Related Topics | ||
| دوره 14، شماره 1، آبان 2026، صفحه 127-135 اصل مقاله (150.51 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2025.29511.1756 | ||
| نویسندگان | ||
| M. Habibi* ؛ K. Paykan | ||
| Department of Mathematics, Tafresh University, Tafresh, Iran | ||
| چکیده | ||
| 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 $R$. | ||
| کلیدواژهها | ||
| APP ring؛ Free monoid؛ McCoy ring؛ McCoy's Theorem؛ Monoid ring؛ Triangular matrix ring | ||
| مراجع | ||
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