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- [32] THE WEAK LEFSCHETZ PROPERTY AND POWERS OF LINEAR FORMS IN K[x,y.z]PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2010, 138 (07) : 2335 - 2339Schenck, HalSeceleanu, Alexandra
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
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.
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页码：2368 / 2385
页数：18
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