Relative Rigid Subcategories and τ-Tilting Theory

Liu, Yu; Zhou, Panyue

doi:10.1007/s10468-021-10082-6

Algebr Represent Theor

2021

DOI: 10.1007/s10468-021-10082-6

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Relative Rigid Subcategories and τ-Tilting Theory

Yu Liu

Panyue Zhou

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2023

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Relative cluster tilting subcategories in an extriangulated category

Zhang¹,

Wang

2023

era

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<abstract><p>Let $ \mathscr{B} $ be an extriangulated category which admits a cluster tilting subcategory $ \mathcal{T} $. We firstly introduce notions of $ \mathcal{T} $-cluster tilting subcategories and related subcategories. Then we prove there is a correspondence between $ \mathcal{T} $-cluster tilting subcategories of $ \mathscr{B} $ and support $ \tau $-tilting pairs of $ mod \underline{\Omega(\mathcal{T}}) $, which recovers several main results from the literature. Note that the generalization is nontrivial and we give a new proof technique.</p></abstract>

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Relative cluster tilting subcategories in an extriangulated category

Zhang¹,

Wang

2023

era

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Relative Rigid Subcategories and τ-Tilting Theory

Cited by 1 publication

References 18 publications

Relative cluster tilting subcategories in an extriangulated category

Relative cluster tilting subcategories in an extriangulated category

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