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...
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Main Authors | , , , |
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Format | Journal Article |
Language | English |
Published |
11.09.2024
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Subjects | |
Online Access | Get full text |
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Summary: | 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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DOI: | 10.48550/arxiv.2409.07026 |