One-sided $n$-suspended categories

He, Jing, Hu, Yonggang, and Zhou, Panyue. "One-sided $n$-suspended categories." Czechoslovak Mathematical Journal 74.4 (2024): 1007-1039. <http://eudml.org/doc/299625>.

@article{He2024,
abstract = {For an integer $n\ge 3$, we introduce a simultaneous generalization of $(n-2)$-exact categories and $n$-angulated categories, referred to as one-sided $n$-suspended categories. Notably, one-sided $n$-angulated categories are specific instances of this structure. We establish a framework for transitioning from these generalized categories to their $n$-angulated counterparts. Additionally, we present a method for constructing $n$-angulated quotient categories from Frobenius $n$-prile categories. Our results unify and extend the previous work of Jasso on $n$-exact categories, Lin on $(n+2)$-angulated categories, and Li on one-sided suspended categories.},
author = {He, Jing, Hu, Yonggang, Zhou, Panyue},
journal = {Czechoslovak Mathematical Journal},
keywords = {triangulated category; $n$-angulated category; exact category; $(n-2)$-exact category; right $n$-angulated category; one-sided $n$-suspended category},
language = {eng},
number = {4},
pages = {1007-1039},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {One-sided $n$-suspended categories},
url = {http://eudml.org/doc/299625},
volume = {74},
year = {2024},
}

TY - JOUR
AU - He, Jing
AU - Hu, Yonggang
AU - Zhou, Panyue
TI - One-sided $n$-suspended categories
JO - Czechoslovak Mathematical Journal
PY - 2024
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 74
IS - 4
SP - 1007
EP - 1039
AB - For an integer $n\ge 3$, we introduce a simultaneous generalization of $(n-2)$-exact categories and $n$-angulated categories, referred to as one-sided $n$-suspended categories. Notably, one-sided $n$-angulated categories are specific instances of this structure. We establish a framework for transitioning from these generalized categories to their $n$-angulated counterparts. Additionally, we present a method for constructing $n$-angulated quotient categories from Frobenius $n$-prile categories. Our results unify and extend the previous work of Jasso on $n$-exact categories, Lin on $(n+2)$-angulated categories, and Li on one-sided suspended categories.
LA - eng
KW - triangulated category; $n$-angulated category; exact category; $(n-2)$-exact category; right $n$-angulated category; one-sided $n$-suspended category
UR - http://eudml.org/doc/299625
ER -