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Continuous and discrete modules /
Continuous and discrete modules are, essentially, generalizations of infective and projective modules respectively. Continuous modules provide an appropriate setting for decomposition theory of von Neumann algebras and have important applications to C*-algebras. Discrete modules constitute a dual co...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
1990.
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| Colección: | London Mathematical Society lecture note series ;
147. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Title; Copyright; Preface; Contents; Chapter 1: Injectivity and related concepts; 1.A-injective modules; 2. Quasi-injective modules; 3. Exchange and cancellation properties; 4. Decomposition theorems; Comments; Chapter 2: Quasi-continuous modules; 1. Basic properties; 2. Direct sums of quasi-continuous modules; 3. Decompositions of quasi-continuous modules; 4. Internal cancellation property; 5. Quasi-continuity versus quasi-injectivity; Comments; Chapter 3: Continuous modules; 1. Endomorphism rings; 2. Continuous modules; 3. The exchange property; Comments; Chapter 4: Quasi-discrete modules
- 1. Definition and basic results2. Decomposition theorems; 3. Applications of the decomposition theorems; 4. Discreteness and projectivity; 5. Quasi-discreteness of direct sums; Comments; Chapter 5: Discrete modules; 1. Discrete modules; 2. Endomorphism rings; 3.Commutative noetherian rings; Comments; Appendix; 1. Variants of supplementation; 2. Supplements are summands; 3. Extending modules; 4. The historial origin of the concept of; 5.N -continuity; 6. Open questions; Bibliography; Notation; Index