论文标题
较弱的正态性，戈伦斯坦和塞雷的条件
Weak normality, Gorenstein and Serre's conditions
论文作者
论文摘要
我们计算归一化模型的相关主要理想，并在不同类型的概括之间建立连接 （分别的专业）归一化。这有一些应用程序。例如，我们以vasconcelos猜想的格式提出了准正态性的特征。同样，在某些情况下，我们表明了环的归一化模量在同源上还原。这为Matlis的猜想提供了部分答案。
We compute the associated prime ideals of the normalization modulo the ring, and establish connections between different types of generalizations (resp. specializations) of the normalization. This has some applications. For example, we present a characterization of quasi-normality, in the format that was conjectured by Vasconcelos. Also, we show in some cases, the normalization modulo the ring, is homologically reduced. This provides a partial answer to the conjecture of Matlis.
