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portada Integral Closure of Ideals, Rings, and Modules Paperback (London Mathematical Society Lecture Note Series)
Type
Physical Book
Author
Publisher
Year
2006
Language
English
Pages
448
Format
Paperback
Dimensions
22.7x16.2x2.5 cm
Weight
0.61 kg.
ISBN
0521688604
ISBN13
9780521688604
Edition No.
1
Categories

Integral Closure of Ideals, Rings, and Modules Paperback (London Mathematical Society Lecture Note Series)

Irena Swanson (Author) · Craig Huneke (Author) · Cambridge University Press · Paperback

Integral Closure of Ideals, Rings, and Modules Paperback (London Mathematical Society Lecture Note Series) - Swanson, Irena ; Huneke, Craig

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Synopsis "Integral Closure of Ideals, Rings, and Modules Paperback (London Mathematical Society Lecture Note Series) "

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 Briançon-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.

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