Unique maximal Betti diagrams for Artinian Gorenstein k-algebras with the weak Lefschetz property

被引：0

作者：

Richert, Ben ^{[1
]}

机构：

[1] Calif Polytech State Univ San Luis Obispo, Dept Math, San Luis Obispo, CA 93407 USA

来源：

COMMUNICATIONS IN ALGEBRA | 2024年 / 52卷 / 06期

关键词：

Artinian Gorenstein k-algebras; Graded Betti numbers; Hilbert functions; NUMBERS;

D O I：

10.1080/00927872.2023.2301515

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give an alternate proof for a theorem of Migliore and Nagel. In particular, we show that if H is an SI-sequence, then the collection of Betti diagrams for all Artinian Gorenstein k-algebras with the weak Lefschetz property and Hilbert function H has a unique largest element.

引用

页码：2368 / 2385

页数：18

共 33 条

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