若松倾斜子范畴和弱支持头倾斜子范畴的再置换

arXiv - MATH - Representation Theory Pub Date : 2024-09-11 DOI:arxiv-2409.07026

Yongduo Wang, Hongyang Luo, Jian He, Dejun Wu

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引用次数: 0

摘要

在本文中，我们证明了如果（A，B，C）是abeliancategories的重列，那么A和C中的若松倾斜（respect. weak support tau-tilting）子类可以诱导B中的若松倾斜（respect. weak supporttau-tilting）子类，并且在自然假设下对话成立。作为应用，我们主要考虑（A, B, C）中的tau-cotorsion扭转三元组的关系。

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Wakamatsu tilting subcategories and weak support tau-tilting subcategories in recollement

In this article, we prove that if (A, B, C) is a recollement of abelian categories, then wakamatsu tilting (resp. weak support tau-tilting) subcategories in A and C can induce wakamatsu tilting (resp. weak support tau-tilting) subcategories in B, and the converses hold under natural assumptions. As an application, we mainly consider the relationship of tau-cotorsion torsion triples in (A, B, C).

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arXiv - MATH - Representation Theory

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