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

Published online by Cambridge University Press:  12 March 2014

Gennadi Puninski
Gennadi Puninski*
Affiliation:
Department of Mathematics, Moscow State Social University, Losinoostrovskaya 24, 107150 Moscow, Russia, E-mail: [email protected]
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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.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 64 , Issue 4 , December 1999 , pp. 1512 - 1518
Copyright
Copyright © Association for Symbolic Logic 1999

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References

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