Geodesic
Relative Auslander bijection in $n$-exangulated categories
Czechoslovak Mathematical Journal, Tome 73 (2023) no. 2, pp. 525-552

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The aim of this article is to study the relative Auslander bijection in \hbox {$n$-exangulated} categories. More precisely, we introduce the notion of generalized Auslander-Reiten-Serre duality and exploit a bijection triangle, which involves the generalized Auslander-Reiten-Serre duality and the restricted Auslander bijection relative to the subfunctor. As an application, this result generalizes the work by Zhao in extriangulated categories.
DOI : 10.21136/CMJ.2023.0127-22
Classification : 16G70, 18E10, 18G80
Keywords: $n$-exangulated category; generalized Auslander-Reiten-Serre duality; restricted Auslander bijection 
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     title = {Relative {Auslander} bijection in $n$-exangulated categories},
     journal = {Czechoslovak Mathematical Journal},
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     publisher = {mathdoc},
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     doi = {10.21136/CMJ.2023.0127-22},
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He, Jian; He, Jing; Zhou, Panyue. Relative Auslander bijection in $n$-exangulated categories. Czechoslovak Mathematical Journal, Tome 73 (2023) no. 2, pp. 525-552. doi: 10.21136/CMJ.2023.0127-22

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