{"title":"有限单元集合的二项式理想","authors":"Jürgen Herzog, Takayuki Hibi, Somayeh Moradi","doi":"10.1080/00927872.2024.2356248","DOIUrl":null,"url":null,"abstract":"We consider the ideal of inner 2-minors IP of a finite set of cells P , which we call the cell ideal of P . A nice interpretation for the height of an unmixed ideal IP , in terms of the number of ...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"1 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2024-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Binomial ideals attached to finite collections of cells\",\"authors\":\"Jürgen Herzog, Takayuki Hibi, Somayeh Moradi\",\"doi\":\"10.1080/00927872.2024.2356248\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We consider the ideal of inner 2-minors IP of a finite set of cells P , which we call the cell ideal of P . A nice interpretation for the height of an unmixed ideal IP , in terms of the number of ...\",\"PeriodicalId\":50663,\"journal\":{\"name\":\"Communications in Algebra\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2024-05-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Communications in Algebra\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1080/00927872.2024.2356248\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Algebra","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/00927872.2024.2356248","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
摘要
我们考虑有限单元集 P 的内 2 次方 IP 理想，称其为 P 的单元理想。对于非混合理想 IP 的高，我们可以用......的数量来解释。
Binomial ideals attached to finite collections of cells
We consider the ideal of inner 2-minors IP of a finite set of cells P , which we call the cell ideal of P . A nice interpretation for the height of an unmixed ideal IP , in terms of the number of ...
期刊介绍：
Communications in Algebra presents high quality papers of original research in the field of algebra. Articles from related research areas that have a significant bearing on algebra might also be published.
Topics Covered Include:
-Commutative Algebra
-Ring Theory
-Module Theory
-Non-associative Algebra including Lie algebras, Jordan algebras
-Group Theory
-Algebraic geometry
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