Open Access
2016 On a topological characterization of Prüfer $v$-multiplication domains among essential domains
Carmelo Antonio Finocchiaro, Francesca Tartarone
J. Commut. Algebra 8(4): 513-536 (2016). DOI: 10.1216/JCA-2016-8-4-513

Abstract

In this paper, we characterize the Pr\"ufer $v$-multiplication domain as a class of essential domains verifying an additional property on the closure of some families of prime ideals, with respect to the constructible topology.

Citation

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Carmelo Antonio Finocchiaro. Francesca Tartarone. "On a topological characterization of Prüfer $v$-multiplication domains among essential domains." J. Commut. Algebra 8 (4) 513 - 536, 2016. https://doi.org/10.1216/JCA-2016-8-4-513

Information

Published: 2016
First available in Project Euclid: 27 October 2016

zbMATH: 1360.13049
MathSciNet: MR3566528
Digital Object Identifier: 10.1216/JCA-2016-8-4-513

Subjects:
Primary: 13A15 , 13A18 , 13F05 , 54A20

Keywords: constructible topology , essential domain , Prüfer domain , ring of integer-valued polynomials

Rights: Copyright © 2016 Rocky Mountain Mathematics Consortium

Vol.8 • No. 4 • 2016
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