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

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

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 semigroup...

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Veröffentlicht in:Tạp chí khoa học. Chuyên san khoa học tự nhiên 2022-01, Vol.130 (1D)
Hauptverfasser: Tran, Quang Hoa, Ho, Vu Ngoc Phuong
Format: Artikel
Sprache:eng
Schlagworte:
Apéry set
Artinian Gorenstein algebras
numerical semigroups
weak Lefschetz property
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Zusammenfassung: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. 
ISSN:1859-1388
2615-9678
DOI:10.26459/hueunijns.v130i1D.5893