Weak Lefschetz property of graded Gorenstein algebras associated to the Apéry set of a numerical semigroup
Tập 130 Số 1D (2021), Nghiên cứu
Tập 130 Số 1D (2021)

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

Nghiên cứu
https://doi.org/10.26459/hueunijns.v130i1D.5893
Đã xuất bản 2021-12-31
Quang Hoa Tran
University of Education, Hue University, 34 Le Loi St., Hue, Vietnam
Vu Ngoc Phuong Ho
University of Sciences, Hue University, 77 Nguyen Hue St., Hue, Vietnam

Tóm tắt

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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