Derived dimension via $\tau$-tilting theory

DOI10.21136/CMJ.2021.0321-20MaRDI QIDQ5016084

Yingying Zhang

Publication date: 10 December 2021

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.07915

zbMATH Keywords

endomorphism algebraderived dimensionsupport \(\tau\)-tilting module

Mathematics Subject Classification ID

Representations of associative Artinian rings (16G10) Homological dimension in associative algebras (16E10)

Cites Work

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• \(\tau\)-tilting theory and \(\tau\)-slices
• On the derived category of a finite-dimensional algebra
• Lower bounds for Auslander's representation dimension.
• Indecomposables in derived categories of gentle algebras
• On the global dimension of the endomorphism algebra of a \(\tau\)-tilting module
• An upper bound for the dimension of bounded derived categories
• Representation dimension of exterior algebras
• Silting Modules
• -tilting theory
• Algebras of Derived Dimension Zero

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