Refinement monoids, Vaught monoids, and Boolean algebras

DOI10.1007/BF01455948zbMath0505.08005MaRDI QIDQ1835940

Hans Dobbertin

Publication date: 1983

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163833

zbMATH Keywords

refinement monoidVaught monoidsCantor-Bendixson derivativesdecomposition typesfree products of Boolean algebrasisomorphism types of countable Boolean algebrasV- monoids

Mathematics Subject Classification ID

Varieties and pseudovarieties of semigroups (20M07) Subalgebras, congruence relations (08A30) Structure theory of Boolean algebras (06E05) Products, amalgamated products, and other kinds of limits and colimits (08B25) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05)

Related Items

Vaught measures and their applications in lattice theory, Restricted injectivity, transfer property and decompositions of separative positively ordered monoids., Direct sum cancellation of Noetherian modules, The Realization Problem for some wild monoids and the Atiyah Problem, Tame and wild refinement monoids, POSET REPRESENTATIONS OF DISTRIBUTIVE SEMILATTICES, Ideal Structure of Multiplier Algebras of Simple C^*-algebras With Real Rank Zero, Finitely generated antisymmetric graph monoids., Injective positively ordered monoids. I, Injective positively ordered monoids. II, AF-embeddings into \(C^*\)-algebras of real rank zero, The Extensional Structure of Commutative Noetherian Rings, Copower functors, Evaporation schemes in congruence lattices of majority algebras, Separative cancellation for projective modules over exchange rings, The Corona Factorization Property and refinement monoids, Non-measurability properties of interpolation vector spaces, Primely generated regular refinement monoids

Cites Work

• The structure of countable Boolean algebras
• Primely generated regular refinement monoids
• Superatomic Boolean algebras
• Compact zero-dimensional metric spaces of finite type