Weak normality and seminormality

Weak normality and seminormality
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弱正态性和半正态性

DOI:
10.1007/978-1-4419-6990-3_17
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发表时间:
2009
期刊:
arXiv: Commutative Algebra
影响因子:
--
通讯作者:
Marie A. Vitulli
Marie A. Vitulli
中科院分区:
--
文献类型:
--
作者:
Marie A. Vitulli

文献摘要

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在这篇综述文章中,我们概述了交换环和代数簇的弱正规性和非正规性的孪生理论的历史,并强调了这些理论在过去15年中的最新发展。我们发展一般交换环的理论,但在必要时专门研究约化诺特环。我们希望使读者熟悉这些理论的许多结果。
In this survey article we outline the history of the twin theories of weak normality and seminormality for commutative rings and algebraic varieties with an emphasis on the recent developments in these theories over the past 15 years. We develop the theories for general commutative rings, but specialize to reduced Noetherian rings when necessary. We hope to acquaint the reader with many of the consequences of the theories.