{"title":"与数值半群的apsamry集相关的梯度Gorenstein代数的弱Lefschetz性质","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":"{\"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}","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}
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 semigroups generated by four natural numbers. These algebras are graded Artinian Gorenstein algebras of codimension three.
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