Article
Full entry | Fulltext not available
(moving wall
24 months)
Feedback
Keywords:
$n$-exangulated category; homotopy cartesian square; half exact functor
$n$-exangulated category; homotopy cartesian square; half exact functor
Summary:
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.
References:
[1] Herschend, M., Liu, Y., Nakaoka, H.: $n$-exangulated categories (I): Definitions and fundamental properties. J. Algebra 570 (2021), 531-586. DOI 10.1016/j.jalgebra.2020.11.017 | MR 4188310 | Zbl 1506.18015
[2] Herschend, M., Liu, Y., Nakaoka, H.: $n$-exangulated categories (II): Constructions from $n$-cluster tilting subcategories. J. Algebra 594 (2022), 636-684. DOI 10.1016/j.jalgebra.2021.11.042 | MR 4355116 | Zbl 07459388
[3] Hu, J., Zhang, D., Zhou, P.: Two new classes of $n$-exangulated categories. J. Algebra 568 (2021), 1-21. DOI 10.1016/j.jalgebra.2020.09.041 | MR 4166049 | Zbl 1458.18006
[4] Kong, X., Lin, Z., Wang, M.: The (ET4) axiom for extriangulated categories. Available at https://arxiv.org/abs/2112.06445 (2021), 13 pages. DOI 10.48550/arXiv.2112.06445
[5] Liu, Y., Nakaoka, H.: Hearts of twin cotorsion pairs on extriangulated categories. J. Algebra 528 (2019), 96-149. DOI 10.1016/j.jalgebra.2019.03.005 | MR 3928292 | Zbl 1419.18018
[6] Liu, Y., Zhou, P.: Frobenius $n$-exangulated categories. J. Algebra 559 (2020), 161-183. DOI 10.1016/j.jalgebra.2020.03.036 | MR 4096714 | Zbl 1448.18022
[7] Nakaoka, H., Palu, Y.: Extriangulated categories, Hovey twin cotorsion pairs and model structures. Cah. Topol. Géom. Différ. Catég. 60 (2019), 117-193. MR 3931945 | Zbl 1451.18021
[8] Ogawa, Y.: Auslander's defects over extriangulated categories: An application for the general heart construction. J. Math. Soc. Japan 73 (2021), 1063-1089. DOI 10.2969/jmsj/84578457 | MR 4329022 | Zbl 1485.18010
[9] Sakai, A.: Relative extriangulated categories arising from half exact functors. J. Algebra 614 (2023), 592-610. DOI 10.1016/j.jalgebra.2022.10.008 | MR 4499356 | Zbl 1499.18013
Search
Partner of
