具有强列夫谢茨特性的二叉完全相交树

IF 0.7 2区数学 Q2 MATHEMATICS

Journal of Pure and Applied Algebra Pub Date : 2024-10-16 DOI:10.1016/j.jpaa.2024.107825

Tadahito Harima , Satoru Isogawa , Junzo Watanabe

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引用次数: 0

摘要

在本文中，我们给出了一个具有强列夫谢茨性质的完全交集新族。这个族包括由连续度的幂和对称多项式产生的ideals所定义的Artinian代数以及由它们自然派生的某些ideals。这个族具有二叉树的结构，这一观察结果是证明族中所有成员都具有强列夫谢茨性质的关键。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A binary tree of complete intersections with the strong Lefschetz property

In this paper we give a new family of complete intersections which have the strong Lefschetz property. The family consists of Artinian algebras defined by ideals generated by power sum symmetric polynomials of consecutive degrees and of certain ideals naturally derived from them. This family has a structure of a binary tree and this observation is a key to prove that all members in it have the strong Lefschetz property.

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来源期刊

Journal of Pure and Applied Algebra 数学-数学

CiteScore

1.70

自引率

12.50%

发文量

225

审稿时长

17 days

期刊介绍： The Journal of Pure and Applied Algebra concentrates on that part of algebra likely to be of general mathematical interest: algebraic results with immediate applications, and the development of algebraic theories of sufficiently general relevance to allow for future applications.