Injective positively ordered monoids. I

DOI10.1016/0022-4049(92)90104-NzbMath0790.06016OpenAlexW4205373660WikidataQ114215377 ScholiaQ114215377MaRDI QIDQ1208203

Friedrich Wehrung

Publication date: 16 May 1993

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

Full work available at URL: https://doi.org/10.1016/0022-4049(92)90104-n

zbMATH Keywords

categorycardinal algebrasequidecomposability typesextended positive real linemeasurable function spacespartially ordered Abelian groupspositively ordered monoid

Mathematics Subject Classification ID

Ordered semigroups and monoids (06F05)

Related Items (26)

Boolean universes above Boolean models ⋮ Cancellation of projective modules over regular rings with comparability ⋮ Extensions of exchange rings ⋮ Direct sum cancellation of Noetherian modules ⋮ Cones of traces arising from AF \(C^\ast\)-algebras ⋮ Resource convertibility and ordered commutative monoids ⋮ Inductive Limits of K-theoretic Complexes with Torsion Coefficients ⋮ Refinement monoids with weak comparability and applications to regular rings and $C*$-algebras ⋮ Some \(K_0\)-monoid properties preserved by tracial approximation ⋮ Comparability, separativity, and exchange rings ⋮ The structure of countably generated projective modules over regular rings ⋮ Tensor products and regularity properties of Cuntz semigroups ⋮ Metric completions of ordered groups and 𝐾₀ of exchange rings ⋮ Injective positively ordered monoids. II ⋮ Simple Riesz groups of rank one having wild intervals ⋮ AF-embeddings into \(C^*\)-algebras of real rank zero ⋮ The Extensional Structure of Commutative Noetherian Rings ⋮ Monoids of Intervals of Simple Refinement Monoids and Non-stable K-Theory of Multiplier Algebras ⋮ Schreier split extensions of preordered monoids ⋮ Partial order embeddings with convex range ⋮ Separative cancellation for projective modules over exchange rings ⋮ The Corona Factorization Property and refinement monoids ⋮ A compactness property of Dedekind \(\sigma\)-complete \(f\)-rings ⋮ Conant's generalised metric spaces are Ramsey ⋮ Non-measurability properties of interpolation vector spaces ⋮ Decomposition of strongly separative monoids

Cites Work

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• Injective positively ordered monoids. II
• Model theory
• Refinement monoids, Vaught monoids, and Boolean algebras
• An Archimedean property of cardinal algebras
• Duality for Cardinal Algebras
• On groups with full Banach mean value
• On some fundamental problems concerning isomorphism of Boolean algebras
• On the Representation of Cardinal Algebras by Directed Sums
• The Hahn-Banach theorem implies the existence of a non-Lebesgue measurable set
• Definability of measures and ultrafilters
• Banach-Tarski Decompositions Using Sets with the Property of Baire
• Weak Cardinal Algebras
• Metric properties of positively ordered monoids
• Equidecomposability and discrepancy; a solution of Tarski's circle-squaring problem
• The Banach-Tarski paradox for the hyperbolic plane
• Cardinal addition and the axiom of choice
• Folner's Conditions for Amenable Semi-Groups.
• The Dimension Theory of Certain Cardinal Algebras
• Cardinal Algebras and Measures Invariant under Equivalence Relations
• Cardinal algebras of functions and integration
• Group Representations and Cardinal Algebras
• A solution of a problem of R. Sikorski
• The axiom of choice

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