{"title":"The weak Lefschetz property of graded Gorenstein algebras associated to the Apéry set of a numerical semigroup","authors":"Quang Hoa Tran, Vu Ngoc Phuong Ho","doi":"10.26459/hueunijns.v130i1d.5893","DOIUrl":null,"url":null,"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. ","PeriodicalId":13004,"journal":{"name":"Hue University Journal of Science: Natural Science","volume":"311 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Hue University Journal of Science: Natural Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.26459/hueunijns.v130i1d.5893","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
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.
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