Commutative monoid rings as Hilbert rings
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- by Robert Gilmer PDF
- Proc. Amer. Math. Soc. 94 (1985), 15-18 Request permission
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 $\left | I \right | = \alpha$.References
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Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 94 (1985), 15-18
- MSC: Primary 13B25; Secondary 20M25
- DOI: https://doi.org/10.1090/S0002-9939-1985-0781046-2
- MathSciNet review: 781046