Integral Closure of Ideals, Rings, and Modules (Paperback)

Integral closure has played a role in number theory and algebraic geometry since the nineteenth century, but a modern formulation of the concept for ideals perhaps began with the work of Krull and Zariski in the 1930s. It has developed into a tool for the analysis of many algebraic and geometric problems. This book collects together the central notions of integral closure and presents a unified treatment. Techniques and topics covered include: behavior of the Noetherian property under integral closure, analytically unramified rings, the conductor, field separability, valuations, Rees algebras, Rees valuations, reductions, multiplicity, mixed multiplicity, joint reductions, the Briancon-Skoda theorem, Zariski's theory of integrally closed ideals in two-dimensional regular local rings, computational aspects, adjoints of ideals and normal homomorphisms. With many worked examples and exercises, this book will provide graduate students and researchers in commutative algebra or ring theory with an approachable introduction leading into the current literature.

General

Imprint:	Cambridge UniversityPress
Country of origin:	United Kingdom
Series:	London Mathematical Society Lecture Note Series
Release date:	October 2006
First published:	2006
Authors:	Irena Swanson • Craig Huneke
Dimensions:	229 x 152 x 25mm (L x W x T)
Format:	Paperback - Trade
Pages:	448
ISBN-13:	978-0-521-68860-4
Categories:	Books > Science & Mathematics > Mathematics > Algebra > General
LSN:	0-521-68860-4
Barcode:	9780521688604

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