在n-膨化范畴中相对澳洲双射

IF 0.4 4区数学 Q4 MATHEMATICS

Czechoslovak Mathematical Journal Pub Date : 2023-01-18 DOI:10.21136/CMJ.2023.0127-22

Jian He, Jing He, Panyue Zhou

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引用次数: 0

摘要

本文的目的是研究n-外化范畴中的相对澳洲双射。更准确地说，我们引入了广义Auslander- reiten - serre对偶的概念，并利用了一个双射三角形，它涉及到广义Auslander- reiten - serre对偶和相对于子函子的限制性Auslander双射。作为一个应用，这个结果推广了Zhao在外三角范畴中的工作。

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Relative Auslander bijection in n-exangulated categories

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.

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