论文标题
在分段属和Cohen-Macaulay环上
On the sectional genera and Cohen-Macaulay rings
论文作者
论文摘要
我们探讨了Noetherian本地环中某些主要理想的分段属的行为。在本文中，我们根据截面属，Cohen-Macaulay类型和某些主要理想的第二个希尔伯特系数提供了Cohen-Macaulay局部环的特征。我们还根据某些主要理想的截面属来表征Gorenstein环和准杂货环环。
We explore the behavior of the sectional genera of certain primary ideals in Noetherian local rings. In this paper, we provide characterizations of a Cohen-Macaulay local ring in terms of the sectional genera, the Cohen-Macaulay type, and the second Hilbert coefficients for certain primary ideals. We also characterize Gorenstein rings and quasi-Buchsbaum rings in terms of the sectional genera for certain primary ideals.
