A distributive semilattice not isomorphic to the maximal semilattice quotient of the positive cone of any dimension group

DOI10.1016/S0021-8693(03)00103-0zbMath1025.06003MaRDI QIDQ1409753

Pavel Růžička

Publication date: 22 October 2003

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

zbMATH Keywords

positive conedimension groupdistributive semilatticesemilattice quotient

Mathematics Subject Classification ID

Semilattices (06A12)

Related Items (4)

Cones of traces arising from AF \(C^\ast\)-algebras ⋮ Categories of partial algebras for critical points between varieties of algebras. ⋮ AF-embeddings into \(C^*\)-algebras of real rank zero ⋮ Semilattices of finitely generated ideals of exchange rings with finite stable rank

Cites Work

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• Non-measurability properties of interpolation vector spaces
• Representation of algebraic distributive lattices with \(\aleph_1\) compact elements as ideal lattices of regular rings
• Tensor Products of Dimension Groups and K₀ of Unit-Regular Rings
• Dimension Groups and Their Affine Representations
• A uniform refinement property for congruence lattices
• Liftings of Diagrams of Semilattices by Diagrams of Dimension Groups
• Representations of distributive semilattices in ideal lattices of various algebraic structures.

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