Geodesic
One-sided $n$-suspended categories
Czechoslovak Mathematical Journal, Tome 74 (2024) no. 4, pp. 1007-1039
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For an integer $n\geq 3$, 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.
For an integer $n\geq 3$, 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.
DOI : 10.21136/CMJ.2024.0424-23
Classification : 18E10, 18G80
Keywords: triangulated category; $n$-angulated category; exact category; $(n-2)$-exact category; right $n$-angulated category; one-sided $n$-suspended category 
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He, Jing; Hu, Yonggang; Zhou, Panyue. One-sided $n$-suspended categories. Czechoslovak Mathematical Journal, Tome 74 (2024) no. 4, pp. 1007-1039. doi: 10.21136/CMJ.2024.0424-23

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