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One-sided $n$ -suspended categories

Jing He; Yonggang Hu; Panyue Zhou — 2024

Czechoslovak Mathematical Journal

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...

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One-sided n -suspended categories

One-sided $n$ -suspended categories