{"title":"n-exangulated categories 的两个结果","authors":"Jian He, Jing He, Panyue Zhou","doi":"10.21136/cmj.2023.0042-23","DOIUrl":null,"url":null,"abstract":"<p>M. Herschend, Y. Liu, H. Nakaoka introduced <i>n</i>-exangulated categories, which are a simultaneous generalization of <i>n</i>-exact categories and (<i>n</i> + 2)-angulated categories. This paper consists of two results on <i>n</i>-exangulated categories: (1) we give an equivalent characterization of axiom (EA2); (2) we provide a new way to construct a closed subfunctor of an <i>n</i>-exangulated category.</p>","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":"8 1","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2023-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Two results of n-exangulated categories\",\"authors\":\"Jian He, Jing He, Panyue Zhou\",\"doi\":\"10.21136/cmj.2023.0042-23\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>M. Herschend, Y. Liu, H. Nakaoka introduced <i>n</i>-exangulated categories, which are a simultaneous generalization of <i>n</i>-exact categories and (<i>n</i> + 2)-angulated categories. This paper consists of two results on <i>n</i>-exangulated categories: (1) we give an equivalent characterization of axiom (EA2); (2) we provide a new way to construct a closed subfunctor of an <i>n</i>-exangulated category.</p>\",\"PeriodicalId\":50596,\"journal\":{\"name\":\"Czechoslovak Mathematical Journal\",\"volume\":\"8 1\",\"pages\":\"\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2023-11-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Czechoslovak Mathematical Journal\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.21136/cmj.2023.0042-23\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Czechoslovak Mathematical Journal","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.21136/cmj.2023.0042-23","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
M. Herschend, Y. Liu, H. Nakaoka introduced n-exangulated categories, which are a simultaneous generalization of n-exact categories and (n + 2)-angulated categories. This paper consists of two results on n-exangulated categories: (1) we give an equivalent characterization of axiom (EA2); (2) we provide a new way to construct a closed subfunctor of an n-exangulated category.