n-exangulated categories (I): Definitions and fundamental properties

被引：42

作者：

Herschend, Martin ^{[1
]}

Liu, Yu ^{[2
]}

Nakaoka, Hiroyuki ^{[3
]}

机构：

[1] Uppsala Univ, Dept Math, Box 480, S-75106 Uppsala, Sweden

[2] Southwest Jiaotong Univ, Sch Math, Chengdu 610031, Sichuan, Peoples R China

[3] Nagoya Univ, Grad Sch Math, Chikusa Ku, Furo Cho, Nagoya, Aichi 4648602, Japan

来源：

JOURNAL OF ALGEBRA | 2021年 / 570卷

基金：

中国国家自然科学基金; 瑞典研究理事会;

关键词：

Triangulated category; Exact category; n-angulated category; n-exact category;

D O I：

10.1016/j.jalgebra.2020.11.017

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For each positive integer n we introduce the notion of n-exangulated categories as higher dimensional analogues of extriangulated categories defined by Nakaoka-Palu. We characterize which n-exangulated categories are n-exact in the sense of Jasso and which are (n 2)-angulated in the sense of Geiss-Keller-Oppermann. (C) 2020 Elsevier Inc. All rights reserved.

引用

页码：531 / 586

页数：56

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