Wakamatsu tilting subcategories, weak support τ -tilting subcategories and recollements

Communications in Algebra 2026

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Authors: Yongduo Wang, Hongyang Luo, Yu-Zhe Liu, Jian B. He, Dejun Wu
DOI: 10.1080/00927872.2025.2587196
Cited by: 0
References: 27

Abstract

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

Fields of Study & Subjects

Homotopy and Cohomology in Algebraic Topology Algebraic structures and combinatorial models Advanced Combinatorial Mathematics

Publication details

Journal / source
Communications in Algebra
Volume
54
Issue
6
Pages
2694–2714
Publication date
7 January 2026
Language
EN