Free ideal rings and localization in general rings /
This book presents the theory of free ideal rings (firs) in detail. Particular emphasis is placed on rings with a weak algorithm, exemplified by free associative algebras, and there is also a full account of localization. Each chapter has a number of exercises plus open problems and historical notes...
Clasificación: | Libro Electrónico |
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Autor principal: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Cambridge, UK ; New York :
Cambridge University Press,
2006.
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Colección: | New mathematical monographs ;
3. |
Temas: | |
Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Half-title; Series-title; Title; Copyright; Dedication; Contents; Preface; Note to the reader; Terminology, notation and conventions used; List of special notation; 0 Generalities on rings and modules; 1 Principal ideal domains; 2 Firs, semifirs and the weak algorithm; 3 Factorization in semifirs; 4 Rings with a distributive factor lattice; 5 Modules over firs and semifirs; 6 Centralizers and subalgebras; 7 Skew fields of fractions; Appendix; Bibliography and author index; Subject index.