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

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Huneke, Craig/ Swanson, Irena 作者

Cambridge Univ Pr

译者

2006-10 出版日期

448 页数

$ 107.35 价格

Pap

丛书系列

9780521688604 图书编码

Integral Closure of Ideals, Rings, and Modules 在线电子书图书标签: 数学其余代数7 代数交换代数 Commutative_Algebra

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

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

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

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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.

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