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arXiv · 2409.07026

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

Yongduo Wang·Hongyang Luo·Yu-Zhe Liu·Jian He·Dejun Wu
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Abstract

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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Yongduo Wang, Hongyang Luo, Yu-Zhe Liu, Jian He, Dejun Wu. 2024-09-11. Wakamatsu tilting subcategories and weak support tau-tilting subcategories in recollements. https://arxiv.org/abs/2409.07026

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