442 research outputs found
Higher Auslander's defect and classifying substructures of n-exangulated categories
Herschend-Liu-Nakaoka introduced the notion of -exangulated categories. It
is not only a higher dimensional analogue of extriangulated categories defined
by Nakaoka-Palu, but also gives a simultaneous generalization of -exact
categories and -angulated categories. In this article, we give an
-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 -exangulated category by using
the category of defects.Comment: 24 pages. arXiv admin note: text overlap with arXiv:1709.06689 by
other author
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