Journal of Commutative Algebra

On a topological characterization of Prüfer $v$-multiplication domains among essential domains

Carmelo Antonio Finocchiaro and Francesca Tartarone

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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.

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J. Commut. Algebra, Volume 8, Number 4 (2016), 513-536.

First available in Project Euclid: 27 October 2016

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Primary: 13A15: Ideals; multiplicative ideal theory 13A18: Valuations and their generalizations [See also 12J20] 13F05: Dedekind, Prüfer, Krull and Mori rings and their generalizations 54A20: Convergence in general topology (sequences, filters, limits, convergence spaces, etc.)

Prüfer domain constructible topology essential domain ring of integer-valued polynomials


Finocchiaro, Carmelo Antonio; Tartarone, Francesca. On a topological characterization of Prüfer $v$-multiplication domains among essential domains. J. Commut. Algebra 8 (2016), no. 4, 513--536. doi:10.1216/JCA-2016-8-4-513.

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