More noneuclidian $\textrm {PID}$’s and Dedekind domains with prescribed class group
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- by Paul Eakin and W. Heinzer PDF
- Proc. Amer. Math. Soc. 40 (1973), 66-68 Request permission
Abstract:
Let $Z$ denote the integers, $Q$ the rationals, $X$ an indeterminate and $G$ a finitely generated abelian group. Then there is a Dedekind domain $D$ such that $Z[X] \subset D \varsubsetneqq Q[X]$, and $D$ has class group $G$. If $G = 0$ then $D$ is a noneuclidian PID.References
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Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 40 (1973), 66-68
- MSC: Primary 13D15
- DOI: https://doi.org/10.1090/S0002-9939-1973-0319975-8
- MathSciNet review: 0319975