Open AccessThe weak Lefschetz property of graded Gorenstein algebras associated to the Apéry set of a numerical semigroup
Author(s) -
Quang Hoa Tran,
Vu Ngoc Phuong Ho
Publication year - 2022
Publication title -
tạp chí khoa học đại học huế: khoa học tự nhiên/tạp chí khoa học đại học huế: khoa học tự nhiên (online)
Language(s) - English
Resource type - Journals
eISSN - 2615-9678
pISSN - 1859-1388
DOI - 10.26459/hueunijns.v130i1d.5893
Subject(s) - mathematics , codimension , semigroup , pure mathematics , zero (linguistics) , property (philosophy) , field (mathematics) , discrete mathematics , philosophy , linguistics , epistemology
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.