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
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