Integral Closure of Ideals, Rings, and Modules (London Mathematical Society Lecture Note Series) | 
 enlarge | Authors: Irena Swanson, Craig Huneke
Publisher: Cambridge University Press
Category: Book
List Price: $80.00
Buy New: $67.67
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New (15) Used (10) from $50.00
Sales Rank: 995950
Media: Paperback
Pages: 448
Number Of Items: 1
Shipping Weight (lbs): 1.4
Dimensions (in): 8.8 x 6 x 0.9
ISBN: 0521688604
Dewey Decimal Number: 512.44
EAN: 9780521688604
Publication Date: October 30, 2006
Availability: Usually ships in 1-2 business days
Shipping: International shipping available
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Product Description
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.
Book Description
Integral closure is a tool for the analysis of many algebraic and geometric problems. Ideal for graduate students and researchers in commutative algebra or ring theory, this book collects together the central notions of integral closure and presents a unified treatment. Contains many worked examples and exercises.
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