{"title":"图的边理想正规Rees代数的正则性","authors":"Tran Quang Hoa , Cao Huy Linh , Thanh Vu","doi":"10.1016/j.jalgebra.2025.05.006","DOIUrl":null,"url":null,"abstract":"<div><div>We classify all graphs for which the Rees algebras of their edge ideals are normal and have regularity equal to their matching numbers.</div></div>","PeriodicalId":14888,"journal":{"name":"Journal of Algebra","volume":"680 ","pages":"Pages 1-11"},"PeriodicalIF":0.8000,"publicationDate":"2025-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Regularity of normal Rees algebras of edge ideals of graphs\",\"authors\":\"Tran Quang Hoa , Cao Huy Linh , Thanh Vu\",\"doi\":\"10.1016/j.jalgebra.2025.05.006\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>We classify all graphs for which the Rees algebras of their edge ideals are normal and have regularity equal to their matching numbers.</div></div>\",\"PeriodicalId\":14888,\"journal\":{\"name\":\"Journal of Algebra\",\"volume\":\"680 \",\"pages\":\"Pages 1-11\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2025-05-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Algebra\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0021869325002923\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Algebra","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0021869325002923","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
期刊介绍:
The Journal of Algebra is a leading international journal and publishes papers that demonstrate high quality research results in algebra and related computational aspects. Only the very best and most interesting papers are to be considered for publication in the journal. With this in mind, it is important that the contribution offer a substantial result that will have a lasting effect upon the field. The journal also seeks work that presents innovative techniques that offer promising results for future research.