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Autore: | Goodearl K. R. |
Titolo: | The complete dimension theory of partially ordered systems with equivalence and orthogonality / / K.R. Goodearl, F. Wehrung |
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) | |
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.: | 9910788749403321 |
Lo trovi qui: | Univ. Federico II |
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