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Applied Categorical Structures

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01-04-2023

Higher Auslander’s defect and classifying substructures of \(\varvec{n}\)-exangulated categories

Authors: Jiangsheng Hu, Yajun Ma, Dongdong Zhang, Panyue Zhou

Published in: Applied Categorical Structures | Issue 2/2023

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Abstract

Herschend–Liu–Nakaoka introduced the notion of an n-exangulated category. It is not only a higher dimensional analogue of extriangulated categories defined by Nakaoka–Palu, but also gives a simultaneous generalization of n-exact categories and \((n+2)\)-angulated categories. In this article, we give an n-exangulated version of Auslander’s defect and Auslander–Reiten duality formula. Moreover, we also give a classification of substructures (=closed subbifunctors) of a given skeletally small n-exangulated category by using the category of defects.

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Title: Higher Auslander’s defect and classifying substructures of -exangulated categories
Authors: Jiangsheng Hu
Yajun Ma
Dongdong Zhang
Panyue Zhou
Publication date: 01-04-2023
Publisher: Springer Netherlands
Published in: Applied Categorical Structures / Issue 2/2023
Print ISSN: 0927-2852
Electronic ISSN: 1572-9095
DOI: https://doi.org/10.1007/s10485-023-09713-4

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