关于方折射单理想的极值BETTI数

IF 0.5 Q3 MATHEMATICS International Electronic Journal of Algebra Pub Date : 2021-02-12 DOI:10.24330/ieja.969656

Luca Amata, M. Crupi

{"title":"关于方折射单理想的极值BETTI数","authors":"Luca Amata, M. Crupi","doi":"10.24330/ieja.969656","DOIUrl":null,"url":null,"abstract":"Let $K$ be a field and $S = K[x_1,\\dots,x_n]$ be a polynomial ring over $K$. We discuss the behaviour of the extremal Betti numbers of the class of squarefree strongly stable ideals. More precisely, we give a numerical characterization of the possible extremal Betti numbers (values as well as positions) of such a class of squarefree monomial ideals.","PeriodicalId":43749,"journal":{"name":"International Electronic Journal of Algebra","volume":" ","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2021-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"ON THE EXTREMAL BETTI NUMBERS OF SQUAREFREE MONOMIAL IDEALS\",\"authors\":\"Luca Amata, M. Crupi\",\"doi\":\"10.24330/ieja.969656\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Let $K$ be a field and $S = K[x_1,\\\\dots,x_n]$ be a polynomial ring over $K$. We discuss the behaviour of the extremal Betti numbers of the class of squarefree strongly stable ideals. More precisely, we give a numerical characterization of the possible extremal Betti numbers (values as well as positions) of such a class of squarefree monomial ideals.\",\"PeriodicalId\":43749,\"journal\":{\"name\":\"International Electronic Journal of Algebra\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2021-02-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Electronic Journal of Algebra\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.24330/ieja.969656\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Electronic Journal of Algebra","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.24330/ieja.969656","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 3

摘要

设$K$是一个域，$S=K[x_1，\dots，x_n]$是$K$上的多项式环。我们讨论了一类平方自由强稳定理想的极值Betti数的性质。更准确地说，我们给出了这类方折射单项理想的可能极值Betti数（值和位置）的数值表征。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

ON THE EXTREMAL BETTI NUMBERS OF SQUAREFREE MONOMIAL IDEALS

Let $K$ be a field and $S = K[x_1,\dots,x_n]$ be a polynomial ring over $K$. We discuss the behaviour of the extremal Betti numbers of the class of squarefree strongly stable ideals. More precisely, we give a numerical characterization of the possible extremal Betti numbers (values as well as positions) of such a class of squarefree monomial ideals.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

International Electronic Journal of Algebra MATHEMATICS-

CiteScore

0.90

自引率

16.70%

发文量

审稿时长

36 weeks

期刊介绍： The International Electronic Journal of Algebra is published twice a year. IEJA is reviewed by Mathematical Reviews, MathSciNet, Zentralblatt MATH, Current Mathematical Publications. IEJA seeks previously unpublished papers that contain: Module theory Ring theory Group theory Algebras Comodules Corings Coalgebras Representation theory Number theory.

期刊最新文献

Computational methods for $t$-spread monomial ideals Normality of Rees algebras of generalized mixed product ideals Strongly J-n-Coherent rings Strongly Graded Modules and Positively Graded Modules which are Unique Factorization Modules The structure of certain unique classes of seminearrings