The eventual index of reducibility of parameter ideals and the sequentially Cohen–Macaulay property
The eventual index of reducibility of parameter ideals and the sequentially Cohen–Macaulay property
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参数理想的最终可约性指数和顺序 Cohen-Macaulay 性质
DOI：
10.1007/s00013-018-1284-8
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发表时间：
2019
影响因子：
0.6
通讯作者：
Hoang Le Truong
中科院分区：
文献类型：
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作者：
Hoang Le Truong
本文的目的是利用Noether在1921年给出的参数理想的约化指数（Math Ann 83：24-66，1921），给出Stanley（Combinatorics and Commutative Algebra，2nd edn，Birkhäuser，Boston，1996）引入的序列Cohen-Macaulay模的一个特征.这特别适用于表征Gorensteinness，科恩-Macaulayness的本地环的最终指标的参数理想的reductionary。
In this paper, our purpose is to give a characterization of a sequentially Cohen–Macaulay module, which was introduced by Stanley (Combinatorics and Commutative Algebra, 2nd edn, Birkhäuser, Boston, 1996), in terms of its index of reducibility of parameter ideals, which was given by Noether in 1921 (Math Ann 83:24–66, 1921). This applies in particular to characterizing the Gorensteinness, Cohen–Macaulayness of local rings in terms of eventually the index of reducibility for parameter ideals.