Integral Closure of Ideals, Rings, and Modules

Integral Closure of Ideals, Rings, and Modules pdf epub mobi txt 電子書 下載2025

出版者:Cambridge Univ Pr
作者:Huneke, Craig/ Swanson, Irena
出品人:
頁數:448
译者:
出版時間:2006-10
價格:$ 107.35
裝幀:Pap
isbn號碼:9780521688604
叢書系列:
圖書標籤:
  • 數學 
  • 其餘代數7 
  • 代數 
  • 交換代數 
  • Commutative_Algebra 
  •  
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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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