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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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Cohn, P. M. (Paul Moritz)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge, UK ; New York : Cambridge University Press, 2006.
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.