Relative Auslander bijection in n -exangulated categories

Jian He; Jing He; Panyue Zhou

Czechoslovak Mathematical Journal (2023)

  • Volume: 73, Issue: 2, page 525-552
  • ISSN: 0011-4642

Abstract

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The aim of this article is to study the relative Auslander bijection in 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.

How to cite

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He, Jian, He, Jing, and Zhou, Panyue. "Relative Auslander bijection in $n$-exangulated categories." Czechoslovak Mathematical Journal 73.2 (2023): 525-552. <http://eudml.org/doc/299455>.

@article{He2023,
abstract = {The aim of this article is to study the relative Auslander bijection in $n$-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.},
author = {He, Jian, He, Jing, Zhou, Panyue},
journal = {Czechoslovak Mathematical Journal},
keywords = {$n$-exangulated category; generalized Auslander-Reiten-Serre duality; restricted Auslander bijection},
language = {eng},
number = {2},
pages = {525-552},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Relative Auslander bijection in $n$-exangulated categories},
url = {http://eudml.org/doc/299455},
volume = {73},
year = {2023},
}

TY - JOUR
AU - He, Jian
AU - He, Jing
AU - Zhou, Panyue
TI - Relative Auslander bijection in $n$-exangulated categories
JO - Czechoslovak Mathematical Journal
PY - 2023
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 73
IS - 2
SP - 525
EP - 552
AB - The aim of this article is to study the relative Auslander bijection in $n$-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.
LA - eng
KW - $n$-exangulated category; generalized Auslander-Reiten-Serre duality; restricted Auslander bijection
UR - http://eudml.org/doc/299455
ER -

References

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