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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.
|
| Colección: | London Mathematical Society lecture note series ;
147. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Mohamed, Saad H. | |
| 245 | 1 | 0 | |a Continuous and discrete modules / |c Saad H. Mohamed, Bruno J. Müller. |
| 260 | |a Cambridge ; |a New York : |b Cambridge University Press, |c 1990. | ||
| 300 | |a 1 online resource (126 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a London Mathematical Society lecture note series ; |v 147 | |
| 504 | |a Includes bibliographical references (pages 108-121) and index. | ||
| 588 | 0 | |a Print version record. | |
| 520 | |a 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 concept and are related to number theory and algebraic geometry: they possess perfect decomposition properties. The advantage of both types of module is that the Krull-Schmidt theorem can be applied, in part, to them. The authors present here a complete account of the subject and at the same time give a unified picture of the theory. The treatment is essentially self-contained, with background facts being summarized in the first chapter. This book will be useful therefore either to individuals beginning research, or the more experienced worker in algebra and representation theory. | ||
| 505 | 0 | |a 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 | |
| 505 | 8 | |a 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 | |
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Injective modules (Algebra) | |
| 650 | 0 | |a Projective modules (Algebra) | |
| 650 | 0 | |a Representations of rings (Algebra) | |
| 650 | 0 | |a Decomposition (Mathematics) | |
| 650 | 6 | |a Modules injectifs (Algèbre) | |
| 650 | 6 | |a Modules projectifs (Algèbre) | |
| 650 | 6 | |a Représentations d'anneaux (Algèbre) | |
| 650 | 6 | |a Décomposition (Mathématiques) | |
| 650 | 7 | |a MATHEMATICS |x Algebra |x Intermediate. |2 bisacsh | |
| 650 | 7 | |a Decomposition (Mathematics) |2 fast | |
| 650 | 7 | |a Injective modules (Algebra) |2 fast | |
| 650 | 7 | |a Projective modules (Algebra) |2 fast | |
| 650 | 7 | |a Representations of rings (Algebra) |2 fast | |
| 650 | 7 | |a Stetiger Modul |2 gnd | |
| 650 | 7 | |a Diskreter Modul |2 gnd | |
| 650 | 7 | |a Modules (Algèbre) |2 ram | |
| 700 | 1 | |a Müller, Bruno J. | |
| 776 | 0 | 8 | |i Print version: |a Mohamed, Saad H. |t Continuous and discrete modules. |d Cambridge ; New York : Cambridge University Press, 1990 |z 0521399750 |w (DLC) 91168120 |w (OCoLC)21351057 |
| 830 | 0 | |a London Mathematical Society lecture note series ; |v 147. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552401 |z Texto completo |
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