Ziegler spectra of serial rings with krull dimension

DOI10.1080/00927879908826583zbMath0944.16021OpenAlexW1981380000MaRDI QIDQ4254192

Geert Reynders

Publication date: 21 June 2000

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879908826583

zbMATH Keywords

Krull dimensionserial ringsZiegler spectraCantor-Bendixson rankspp-definability

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Injective modules, self-injective associative rings (16D50) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Applications of logic in associative algebras (16B70)

Related Items (5)

Unnamed Item ⋮ Krull-Gabriel dimension of 1-domestic string algebras. ⋮ Ziegler spectra of serial rings ⋮ Krull–Gabriel dimension and the Ziegler spectrum ⋮ The Krull–Gabriel Dimension of a Serial Ring

Cites Work

• Model theory of modules
• Uniform modules over serial rings
• Serial rings and finitely presented modules
• Model theory of modules over a serial ring
• Transfinite powers of the jacobson radical
• Pureinjective modules over right noethehian serial rings
• Serial Right Noetherian Rings
• Cantor-Bendixson Rank of the Ziegler Spectrum Over a Commutative Valuation Domain

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