An Introduction to Rings and Modules by A J Berrick

An Introduction to Rings and Modules by A J Berrick

This book, first published in 2000, is a concise introduction to ring theory, module theory and number theory, ideal for a first year graduate student, as well as an excellent reference for working mathematicians in other areas. Starting from definitions, the book introduces fundamental constructions of rings and modules, as direct sums or products, and by exact sequences. It then explores the structure of modules over various types of ring: noncommutative polynomial rings, Artinian rings (both semisimple and not), and Dedekind domains. It also shows how Dedekind domains arise in number theory, and explicitly calculates some rings of integers and their class groups. About 200 exercises complement the text and introduce further topics. This book provides the background material for the authors' companion volume Categories and Modules, soon to appear. Armed with these two texts, the reader will be ready for more advanced topics in K-theory, homological algebra and algebraic number theory.

' an excellent concise introduction to the theory of rings and modules 'Tong Wenting, Zentralblatt MATH

SKU	Non disponible
ISBN 13	9780521632744
ISBN 10	0521632749
Titre	An Introduction to Rings and Modules
Auteur	A J Berrick
Série	Cambridge Studies In Advanced Mathematics
État	Non disponible
Type de reliure	Hardback
Éditeur	Cambridge University Press
Année de publication	2000-05-01
Nombre de pages	284
Note de couverture	La photo du livre est présentée à titre d'illustration uniquement. La reliure, la couverture ou l'édition réelle peuvent varier.
Note	Non disponible