Modules over Endomorphism Rings

Name: Modules over Endomorphism Rings
Brand: Cambridge University Press
SKU: 9780521199605
Price: 950.72 RON
Availability: InStock

Autor: Theodore G. Faticoni

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Legare: Copertă tare

Editura: Cambridge University Press

Disponibilitate: În depozitul extern

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950.72 lei

This is an extensive synthesis of recent work in the study of endomorphism rings and their modules,...

Informații despre carte

Autor

Theodore G. Faticoni

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2009

Pagini

392

EAN

9780521199605

ISBN

0521199603

Enbook ID

02025541

Editura

Cambridge University Press

Greutate

Dimensiuni

160 x 240 x 25

Descriere completă

This is an extensive synthesis of recent work in the study of endomorphism rings and their modules, bringing together direct sum decompositions of modules, the class number of an algebraic number field, point set topological spaces, and classical noncommutative localization. The main idea behind the book is to study modules G over a ring R via their endomorphism ring EndR(G). The author discusses a wealth of results that classify G and EndR(G) via numerous properties, and in particular results from point set topology are used to provide a complete characterization of the direct sum decomposition properties of G. For graduate students this is a useful introduction, while the more experienced mathematician will discover that the book contains results that are not otherwise available. Each chapter contains a list of exercises and problems for future research, which provide a springboard for students entering modern professional mathematics.

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