Journal of Symbolic Logic

Cantor-Bendixson Rank of the Ziegler Spectrum Over a Commutative Valuation Domain

Gennadi Puninski

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Abstract

We calculate the Cantor-Bendixson rank of the Ziegler spectrum over a commutative valuation domain R proving that it is equal to the double Krull dimension of R.

Article information

Source
J. Symbolic Logic, Volume 64, Issue 4 (1999), 1512-1518.

Dates
First available in Project Euclid: 6 July 2007

Permanent link to this document
https://projecteuclid.org/euclid.jsl/1183745933

Mathematical Reviews number (MathSciNet)
MR1780066

Zentralblatt MATH identifier
0961.03036

JSTOR
links.jstor.org

Citation

Puninski, Gennadi. Cantor-Bendixson Rank of the Ziegler Spectrum Over a Commutative Valuation Domain. J. Symbolic Logic 64 (1999), no. 4, 1512--1518. https://projecteuclid.org/euclid.jsl/1183745933


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