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Pre--angulated categories
Jing He, Panyue Zhou, Xingjia Zhou
In this article, we introduce the notion of pre--angulated categories as higher dimensional analogues of pre-triangulated categories defined by Beligiannis-Reiten. We first…
Idempotent completion of certain -exangulated categories
Jian He, Jing He, Panyue Zhou
It was shown recently that an -extension closed subcategory of a Krull-Schmidt -angulated category has a natural structure of an -exangulated category. In…
Homotopy cartesian squares in extriangulated categories
Jing He, Chenbei Xie, Panyue Zhou
Let be an extriangulated category. Given a composition of two commutative squares in , if two commutative squares are homotopy…
Two results of -exangulated categories
Jian He, Jing He, Panyue Zhou
-exangulated categories were introduced by Herschend-Liu-Nakaoka which are a simultaneous generalization of -exact categories and -angulated categories. This paper con…
Localization of n-exangulated categories
Jian He, Jing He, Panyue Zhou
Nakaoka-Ogawa-Sakai considered the localization of an extriangulated category. This construction unified the Serre quotient of abelian categories and the Verdier quotient of triang…