Weak Lefschetz property of graded Gorenstein algebras associated to the Apéry set of a numerical semigroup
Vol. 130 No. 1D (2021), Original Article
Vol. 130 No. 1D (2021)

Weak Lefschetz property of graded Gorenstein algebras associated to the Apéry set of a numerical semigroup

Original Article
https://doi.org/10.26459/hueunijns.v130i1D.5893
Published 2021-12-31
Tran Quang Hoa
University of Education, Hue University, 34 Le Loi St., Hue, Vietnam
Ho Vu Ngoc Phuong*
University of Sciences, Hue University, 77 Nguyen Hue St., Hue, Vietnam
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Keywords

Apéry set
Artinian Gorenstein algebras
numerical semigroups
weak Lefschetz property

How to Cite

1.
Tran QH, Ho VNP. Weak Lefschetz property of graded Gorenstein algebras associated to the Apéry set of a numerical semigroup. hueuni-jns [Internet]. 2021Dec.31 [cited 2024Dec.20];130(1D):75-82. Available from: https://jos.hueuni.edu.vn/index.php/hujos-ns/article/view/5893
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Abstract

It has been conjectured that all graded Artinian Gorenstein algebras of codimension three have the weak Lefschetz property over a field of characteristic zero. In this paper, we study the weak Lefschetz property of associated graded algebras A of the Apéry set of M-pure symmetric numerical semigroups generated by four natural numbers. These algebras are graded Artinian Gorenstein algebras of codimension three.

https://doi.org/10.26459/hueunijns.v130i1D.5893
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