Homotopy cartesian squares in extriangulated categories

被引：0
|
作者：
He, Jing [2 ]
Xie, Chenbei
Zhou, Panyue [1 ]
机构：
[1] Hunan Inst Sci & Technol, Coll Math, Yueyang 414006, Hunan, Peoples R China
[2] Hunan Univ Technol & Business, Coll Sci, Changsha 410205, Peoples R China
来源：
OPEN MATHEMATICS | 2023年 / 21卷 / 01期
基金：
中国国家自然科学基金;
关键词：
extriangulated category; homotopy cartesian square; triangulated category; abelian category; push-out and pull-back; SUBCATEGORIES;
D O I：
10.1515/math-2022-0570
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let (C, E, s) be an extriangulated category. Given a composition of two commutative squares in C, if two commutative squares are homotopy cartesian, then their composition is also a homotopy cartesian square. This covers the result by Mac Lane [Categories for the Working Mathematician, Second edition, Graduate Texts in Mathematics, Vol. 5, Springer-Verlag, New York, 1998] for abelian categories and by Christensen and Frankland [On good morphisms of exact triangles, J. Pure Appl. Algebra 226 (2022), no. 3, 106846] for triangulated categories.
引用
收藏
页码：119 / 221
页数：10
相关论文
共 50 条
  • [31] W(ξ)-Gorenstein objects in extriangulated categories
    Liu, Songsong
    Wei, Jiaqun
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2023, 22 (09)
  • [32] Gorenstein derived functors for extriangulated categories
    He, Zhenggang
    COMMUNICATIONS IN ALGEBRA, 2025, 53 (02) : 617 - 637
  • [33] Proper resolutions and Gorensteinness in extriangulated categories
    Hu, Jiangsheng
    Zhang, Dondong
    Zhou, Panyue
    FRONTIERS OF MATHEMATICS IN CHINA, 2021, 16 (01) : 95 - 117
  • [34] Ideal balanced pairs in extriangulated categories
    Rongrong Xu
    Xianhui Fu
    Science China(Mathematics), 2025, 68 (02) : 271 - 284
  • [35] Torsion pairs and recollements of extriangulated categories
    He, Jian
    Hu, Yonggang
    Zhou, Panyue
    COMMUNICATIONS IN ALGEBRA, 2022, 50 (05) : 2018 - 2036
  • [36] Gorenstein Homological Dimensions for Extriangulated Categories
    Jiangsheng Hu
    Dongdong Zhang
    Panyue Zhou
    Bulletin of the Malaysian Mathematical Sciences Society, 2021, 44 : 2235 - 2252
  • [37] Proper resolutions and Gorensteinness in extriangulated categories
    Jiangsheng Hu
    Dondong Zhang
    Panyue Zhou
    Frontiers of Mathematics in China, 2021, 16 : 95 - 117
  • [38] A characterization of extriangulated categories with triangulated structure
    Msapato, Dixy
    COMMUNICATIONS IN ALGEBRA, 2025, 53 (03) : 1088 - 1103
  • [39] Relative Auslander Bijection in Extriangulated Categories
    Tiwei Zhao
    Acta Mathematica Sinica,English Series, 2025, (03) : 985 - 1014
  • [40] BALANCE OF COMPLETE COHOMOLOGY IN EXTRIANGULATED CATEGORIES
    Hu, Jiangsheng
    Zhang, Dongdong
    Zhao, Tiwei
    Zhou, Panyue
    ELECTRONIC RESEARCH ARCHIVE, 2021, 29 (05): : 3341 - 3359
12345