Integral Closure of Ideals, Rings, and Modules pdf epub mobi txt 电子书下载 2024

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Huneke, Craig/ Swanson, Irena

Cambridge Univ Pr

2006-10

448

$ 107.35

Pap

9780521688604

图书标签: 数学其余代数7 代数交换代数 Commutative_Algebra

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发表于2024-12-25

Integral Closure of Ideals, Rings, and Modules epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

Integral Closure of Ideals, Rings, and Modules pdf epub mobi txt 电子书下载 2024

图书描述

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.

Integral Closure of Ideals, Rings, and Modules 下载 mobi epub pdf txt 电子书