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[null,"1.","Record Nr.",null,"UNINA9910827772403321"]
[null,null,"Autore",null,"Goodearl K. R."]
[null,null,"Titolo",null,"The complete dimension theory of partially ordered systems with equivalence and orthogonality / / K.R. Goodearl, F. Wehrung"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society, , [2005]"]
[{"$nulls":4},"©2005"]
[null,null,"ISBN",null,"1-4704-0432-X"]
[null,null,"Descrizione fisica",null,"1 online resource (134 p.)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 831"]
[null,null,"Disciplina",null,"510 s"]
[{"$nulls":4},"511.3/3"]
[null,null,"Soggetti",null,"Lattice theory"]
[{"$nulls":4},"Boolean rings"]
[{"$nulls":4},"Partial algebras"]
[{"$nulls":4},"Modules (Algebra)"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","\"Volume 176, number 831 (third of 5 numbers).\""]
[null,null,null,"Nota di bibliografia","Includes bibliographical references (pages 111-113) and index."]
[null,null,"Nota di contenuto",null,"\"\"Contents\"\"; \"\"Chapter 1. Introduction\"\"; \"\"1-1. Background\"\"; \"\"1-2. Results and methods\"\"; \"\"1-3. Notation and terminology\"\"; \"\"Chapter 2. Partial commutative monoids\"\"; \"\"2-1. Basic results about partial commutative monoids\"\"; \"\"2-2. Direct decompositions of partial refinement monoids\"\"; \"\"2-3. Projections of partial refinement monoids\"\"; \"\"2-4. General comparability\"\"; \"\"2-5. Boolean-valued partial refinement monoids\"\"; \"\"2-6. Least and largest difference functions\"\"; \"\"Chapter 3. Continuous dimension scales\"\"; \"\"3-1. Basic properties"]
[{"$nulls":4},"the monoids Z[sub(Î³)], R[sub(Î³)], and 2[sub(Î³)]\"\"\"\"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 | Î±)\"\"; \"\"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\"\""]
[{"$nulls":4},"\"\"4-2. Purely infinite elements trim sequences\"\"; \"\"4-3. Axiom (M6)\"\"; \"\"4-4. D-universal classes of espaliers\"\"; \"\"4-5. Existence of large "]
[{"$nulls":4},"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\"\""]
[{"$nulls":4},"\"\"L\"\"\"\"M\"\"; \"\"N\"\"; \"\"O\"\"; \"\"P\"\"; \"\"R\"\"; \"\"S\"\"; \"\"T\"\"; \"\"U\"\"; \"\"V\"\"; \"\"W\"\"; \"\"X\"\"; \"\"Z\"\""]