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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...

Descripción completa

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

MARC

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100 1 |a Cohn, P. M.  |q (Paul Moritz) 
245 1 0 |a Free ideal rings and localization in general rings /  |c P.M. Cohn. 
260 |a Cambridge, UK ;  |a New York :  |b Cambridge University Press,  |c 2006. 
300 |a 1 online resource (xxii, 572 pages) :  |b illustrations 
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504 |a Includes bibliographical references (pages 540-565) and indexes. 
520 |a 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. 
505 0 |a 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. 
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650 0 |a Ideals (Algebra) 
650 0 |a Associative algebras. 
650 6 |a Anneaux (Algèbre) 
650 6 |a Idéaux (Algèbre) 
650 6 |a Algèbres associatives. 
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650 7 |a Associative algebras.  |2 fast  |0 (OCoLC)fst00819227 
650 7 |a Ideals (Algebra)  |2 fast  |0 (OCoLC)fst00966851 
650 7 |a Rings (Algebra)  |2 fast  |0 (OCoLC)fst01098024 
653 |a Math/Computer science 
653 |a Ring theory 
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830 0 |a New mathematical monographs ;  |v 3. 
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