Spectra of the \(\Gamma\)-invariant of uniform modules

DOI10.1016/S0022-4049(00)00118-3zbMath0990.16005arXivmath/0009060OpenAlexW1536817974WikidataQ57571307 ScholiaQ57571307MaRDI QIDQ5946462

Jan Trlifaj, Saharon Shelah

Publication date: 16 April 2002

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0009060

zbMATH Keywords

submodule lattices\(\Gamma\)-invariantsstrictly decreasing continuous chains of submodulesstrongly uniform modules

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Modular lattices, Desarguesian lattices (06C05) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items (1)

Lattices of two-sided ideals of locally matricial algebras and the \(\Gamma\)-invariant problem

Cites Work

• Remarks on elementary duality
• The spectrum of the \(\Gamma\)-invariant of a bilinear space
• Gamma invariants for dense lattices
• Linear topologies on sesquilinear spaces of uncountable dimension
• How to Construct Almost Free Groups
• An independence result in quadratic form theory: Infinitary combinatorics applied to ε-Hermitian spaces
• A uniform refinement property for congruence lattices
• When Does Almost Free Imply Free? (For Groups, Transversals, etc.)
• Congruence lattices of free lattices in non-distributive varieties
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