Two results of -exangulated categories
Czechoslovak Mathematical Journal (2024)
- Issue: 1, page 177-189
- ISSN: 0011-4642
Access Full Article
top
Abstract
topHow to cite
topHe, Jian, He, Jing, and Zhou, Panyue. "Two results of $n$-exangulated categories." Czechoslovak Mathematical Journal (2024): 177-189. <http://eudml.org/doc/299218>.
@article{He2024,
abstract = {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.},
author = {He, Jian, He, Jing, Zhou, Panyue},
journal = {Czechoslovak Mathematical Journal},
keywords = {$n$-exangulated category; homotopy cartesian square; half exact functor},
language = {eng},
number = {1},
pages = {177-189},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Two results of $n$-exangulated categories},
url = {http://eudml.org/doc/299218},
year = {2024},
}
TY - JOUR
AU - He, Jian
AU - He, Jing
AU - Zhou, Panyue
TI - Two results of $n$-exangulated categories
JO - Czechoslovak Mathematical Journal
PY - 2024
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
IS - 1
SP - 177
EP - 189
AB - 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.
LA - eng
KW - $n$-exangulated category; homotopy cartesian square; half exact functor
UR - http://eudml.org/doc/299218
ER -
References
top- Herschend, M., Liu, Y., Nakaoka, H., 10.1016/j.jalgebra.2020.11.017, J. Algebra 570 (2021), 531-586. (2021) Zbl1506.18015MR4188310DOI10.1016/j.jalgebra.2020.11.017
- Herschend, M., Liu, Y., Nakaoka, H., 10.1016/j.jalgebra.2021.11.042, J. Algebra 594 (2022), 636-684. (2022) Zbl07459388MR4355116DOI10.1016/j.jalgebra.2021.11.042
- Hu, J., Zhang, D., Zhou, P., 10.1016/j.jalgebra.2020.09.041, J. Algebra 568 (2021), 1-21. (2021) Zbl1458.18006MR4166049DOI10.1016/j.jalgebra.2020.09.041
- Kong, X., Lin, Z., Wang, M., 10.48550/arXiv.2112.06445, Available at https://arxiv.org/abs/2112.06445 (2021), 13 pages. (2021) DOI10.48550/arXiv.2112.06445
- Liu, Y., Nakaoka, H., 10.1016/j.jalgebra.2019.03.005, J. Algebra 528 (2019), 96-149. (2019) Zbl1419.18018MR3928292DOI10.1016/j.jalgebra.2019.03.005
- Liu, Y., Zhou, P., 10.1016/j.jalgebra.2020.03.036, J. Algebra 559 (2020), 161-183. (2020) Zbl1448.18022MR4096714DOI10.1016/j.jalgebra.2020.03.036
- Nakaoka, H., Palu, Y., Extriangulated categories, Hovey twin cotorsion pairs and model structures, Cah. Topol. Géom. Différ. Catég. 60 (2019), 117-193. (2019) Zbl1451.18021MR3931945
- Ogawa, Y., 10.2969/jmsj/84578457, J. Math. Soc. Japan 73 (2021), 1063-1089. (2021) Zbl1485.18010MR4329022DOI10.2969/jmsj/84578457
- Sakai, A., 10.1016/j.jalgebra.2022.10.008, J. Algebra 614 (2023), 592-610. (2023) Zbl1499.18013MR4499356DOI10.1016/j.jalgebra.2022.10.008
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.