Integer-valued polynomials over Krull-type domains and Prüfer $v$-multiplication domains
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- by Francesca Tartarone PDF
- Proc. Amer. Math. Soc. 128 (2000), 1617-1625 Request permission
Abstract:
Let $D$ be a domain with quotient field $K$. The ring of integer-valued polynomials over $D$ is $\text {Int}(D) := \{f \in K[X]; f(D) \subseteq D\}$. We characterize the Krull-type domains $D$ such that $\text {Int}(D)$ is a Prüfer $v$-multiplication domain.References
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Additional Information
- Francesca Tartarone
- Affiliation: Faculté des Sciences de Saint-Jérôme, Université d’Aix-Marseille III, 13397 Marseille, France
- Address at time of publication: Dipartimento di Matematica, Università degli Studi di Roma “Roma Tre”, Largo Murialdo 1 00146 Roma, Italy
- Email: francesca.tartarone@vmesa12.u-3mrs.fr, tfrance@matrm3.mat.uniroma3.it
- Received by editor(s): March 5, 1998
- Received by editor(s) in revised form: July 22, 1998
- Published electronically: October 18, 1999
- Additional Notes: The author would like to thank Prof. Stefania Gabelli who introduced her to this topic and who gave her useful advice for this work. She also would like to thank the Laboratoire des Mathématiques de la Faculté des Sciences de Saint-Jérôme in Marseille where she is attending a Post-Doc research program and Prof. P.-J. Cahen who carefully read this paper providing valuable suggestions
- Communicated by: Wolmer V. Vasconcelos
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 1617-1625
- MSC (1991): Primary 13A15, 13A18, 13B25; Secondary 13B30
- DOI: https://doi.org/10.1090/S0002-9939-99-05174-6
- MathSciNet review: 1641121