Abstract
Let $S$ be a cancellative monoid with quotient group of torsion-free rank $\alpha$. We show that the monoid ring $R(S)$ is a Hilbert ring if and only if the polynomial ring $R[{\{ {X_i}\} _{i \in I}}]$ is a Hilbert ring, where $\left | I \right | = \alpha$.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
