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

DOI10.2307/2586792zbMath0961.03036OpenAlexW2168103865MaRDI QIDQ4948522

Gennadi Puninski

Publication date: 5 June 2001

Published in: Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2586792

zbMATH Keywords

Jacobson radicalKrull dimensionZiegler spectrumCantor-Bendixson rankpure injective modulesserial ringcommutative valuation domain

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Valuations and their generalizations for commutative rings (13A18) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items

Ziegler spectra of serial rings with krull dimension, Unnamed Item, Decidability of the theory of modules over commutative valuation domains, Sobriety for the Ziegler spectrum of a Prüfer domain, Ziegler spectra of serial rings, THE ZIEGLER SPECTRUM OF THE RING OF ENTIRE COMPLEX VALUED FUNCTIONS, Some model theory of modules over Bézout domains. The width, Krull–Gabriel dimension and the Ziegler spectrum, The Krull–Gabriel Dimension of a Serial Ring

Cites Work

• Model theory of modules
• Ziegler spectra of tame hereditary algebras
• Rings described by various purities