{"title":"Bockstein operations and extensions with trivial boundary maps","authors":"Qingnan An, Zhichao Liu","doi":"arxiv-2408.17055","DOIUrl":null,"url":null,"abstract":"In this paper, we investigate the relationship between ideal structures and\nthe Bockstein operations in the total K-theory, offering various diagrams to\ndemonstrate their effectiveness in classification. We explore different\nsituations and demonstrate a variety of conclusions, highlighting the crucial\nrole these structures play within the framework of invariants.","PeriodicalId":501114,"journal":{"name":"arXiv - MATH - Operator Algebras","volume":"3 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Operator Algebras","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.17055","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
In this paper, we investigate the relationship between ideal structures and
the Bockstein operations in the total K-theory, offering various diagrams to
demonstrate their effectiveness in classification. We explore different
situations and demonstrate a variety of conclusions, highlighting the crucial
role these structures play within the framework of invariants.