Invariants of Cohen–Macaulay rings associated to their canonical ideals
Invariants of Cohen–Macaulay rings associated to their canonical ideals
复制标题
与其规范理想相关的科恩-麦考利环的不变量
DOI：
10.1016/j.jalgebra.2017.05.042
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发表时间：
2017
影响因子：
0.9
通讯作者：
W. Vasconcelos
中科院分区：
文献类型：
--
作者：
L. Ghezzi;S. Goto;Jooyoun Hong;W. Vasconcelos
本文的目的是引入Cohen-Macaulay局部环的新不变量。我们的重点是类Cohen-Macaulay局部环，承认一个典型的理想。每个这样的环R与一个典型的理想C相连，有整数-R的类型，C的约化数-提供了有价值的度量来表示R与Gorenstein环的偏差。我们扩大这个名单与其他整数的根R和几个典型的程度。后者是C的Rees代数的重数基函数。
The purpose of this paper is to introduce new invariants of Cohen–Macaulay local rings. Our focus is the class of Cohen–Macaulay local rings that admit a canonical ideal. Attached to each such ring R with a canonical ideal C, there are integers–the type of R, the reduction number of C–that provide valuable metrics to express the deviation of R from being a Gorenstein ring. We enlarge this list with other integers–the roots of R and several canonical degrees. The latter are multiplicity based functions of the Rees algebra of C.