Lefschetz properties of Gorenstein graded algebras associated to the Apery set of a numerical semigroup

被引：4

作者：

Guerrieri, Lorenzo ^{[1
]}

机构：

[1] Univ Catania, Dipartimento Matemat & Informat, Viale A Doria 6, I-95125 Catania, Italy

来源：

ARKIV FOR MATEMATIK | 2019年 / 57卷 / 01期

关键词：

Lefschetz properties; graded rings; Artinian rings; Gorenstein rings; numerical semigroups; HESSIANS; RING;

D O I：

10.4310/ARKIV.2019.v57.n1.a5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study the Weak Lefschetz property of two classes of standard graded Artinian Gorenstein algebras associated in a natural way to the Apery set of numerical semigroups. To this aim we also prove a general result about the transfer of the Weak Lefschetz property from an Artinian Gorenstein algebra to its quotients modulo a colon ideal.

引用

页码：85 / 106

页数：22

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