The complete dimension theory of partially ordered systems with equivalence and orthogonality / / K.R. Goodearl, F. Wehrung

• Autore: Goodearl K. R.
• Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , [2005]; ©2005
• Descrizione fisica: 1 online resource (134 p.)
• Disciplina: 510 s; 511.3/3
• Soggetto topico: Lattice theory; Boolean rings; Partial algebras; Modules (Algebra)
• Soggetto genere / forma: Electronic books.
• Persona (resp. second.): WehrungF <1961-> (Friedrich)
• Note generali: "Volume 176, number 831 (third of 5 numbers)."
• Nota di bibliografia: Includes bibliographical references (pages 111-113) and index.
• Nota di contenuto: ""Contents""; ""Chapter 1. Introduction""; ""1-1. Background""; ""1-2. Results and methods""; ""1-3. Notation and terminology""; ""Chapter 2. Partial commutative monoids""; ""2-1. Basic results about partial commutative monoids""; ""2-2. Direct decompositions of partial refinement monoids""; ""2-3. Projections of partial refinement monoids""; ""2-4. General comparability""; ""2-5. Boolean-valued partial refinement monoids""; ""2-6. Least and largest difference functions""; ""Chapter 3. Continuous dimension scales""; ""3-1. Basic properties ; the monoids Z[sub(γ)], R[sub(γ)], and 2[sub(γ)]""""3-2. Dedekind complete lattice-ordered groups""; ""3-3. Continuous functions on extremally disconnected topological spaces""; ""3-4. Completeness of the Boolean algebra of projections""; ""3-5. The elements (p | α)""; ""3-6. The dimension function Î?""; ""3-7. Projections on the directly finite elements""; ""3-8. Embedding arbitrary continuous dimension scales""; ""3-9. Uniqueness of the canonical embedding""; ""3-10. Continuous dimension scales which are proper classes""; ""Chapter 4. Espaliers""; ""4-1. The axioms"" ; ""4-2. Purely infinite elements trim sequences""; ""4-3. Axiom (M6)""; ""4-4. D-universal classes of espaliers""; ""4-5. Existence of large constants""; ""Chapter 5. Classes of espaliers""; ""5-1. Abstract measure theory; Boolean espaliers""; ""5-2. Conditionally complete, meet-continuous, relatively complemented, modular lattices""; ""5-3. Self-injective regular rings and nonsingular injective modules""; ""5-4. Projection lattices of W*- and AW*-algebras""; ""5-5. Concluding remarks""; ""Bibliography""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""J""; ""K"" ; ""L""""M""; ""N""; ""O""; ""P""; ""R""; ""S""; ""T""; ""U""; ""V""; ""W""; ""X""; ""Z""
• Titolo autorizzato: The complete dimension theory of partially ordered systems with equivalence and orthogonality
• ISBN: 1-4704-0432-X
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910481015803321
• Lo trovi qui: Univ. Federico II
• Serie: Memoirs of the American Mathematical Society ; ; no. 831.