{"title":"The axioms for right (n+2)-angulated categories","authors":"Jing He, Jiangsha Li","doi":"arxiv-2409.05561","DOIUrl":null,"url":null,"abstract":"Drawing inspiration from the works of Beligiannis-Marmaridis and Lin, we\nrefine the axioms for a right $(n+2)$-angulated category and give some examples\nof such categories. Interestingly, we show that the morphism axiom for a right\n$(n+2)$-angulated category is actually redundant. Moreover, we prove that the\nhigher octahedral axiom is equivalent to the mapping cone axiom for a right\n$(n+2)$-angulated category.","PeriodicalId":501038,"journal":{"name":"arXiv - MATH - Representation Theory","volume":"26 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Representation Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.05561","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
Drawing inspiration from the works of Beligiannis-Marmaridis and Lin, we
refine the axioms for a right $(n+2)$-angulated category and give some examples
of such categories. Interestingly, we show that the morphism axiom for a right
$(n+2)$-angulated category is actually redundant. Moreover, we prove that the
higher octahedral axiom is equivalent to the mapping cone axiom for a right
$(n+2)$-angulated category.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
