The complete integral closure of $R[X]$
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- by Thomas G. Lucas PDF
- Trans. Amer. Math. Soc. 330 (1992), 757-768 Request permission
Abstract:
For a reduced ring $R$ that is completely integrally closed it is not always the case that the corresponding polynomial ring $R[X]$ is completely integrally closed. In this paper the question of when $R[X]$ is completely integrally closed is shown to be related to the question of when $R$ is completely integrally closed in $T(R[X])$ the total quotient ring of $R[X]$. A characterization of the complete integral closure of $R[X]$ is given in the main theorem and this result is used to characterize the complete integral closure of the semigroup ring $R[S]$ when $S$ is a torsion-free cancellative monoid.References
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 330 (1992), 757-768
- MSC: Primary 13B22
- DOI: https://doi.org/10.1090/S0002-9947-1992-1034667-4
- MathSciNet review: 1034667