Derived equivalences from cohomological approximations and mutations of Φ-Yoneda algebras

DOI10.1017/S030821051100045XzbMath1336.16014arXiv1102.2790MaRDI QIDQ2866507

Changchang Xi, Wei Hu, Steffen Koenig

Publication date: 13 December 2013

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.2790

zbMATH Keywords

finite-dimensional algebrasderived equivalencestriangulated categoriesapproximationsArtin algebrasCalabi-Yau categoriesFrobenius categoriesperforated Yoneda algebras

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Representations of associative Artinian rings (16G10) Derived categories and associative algebras (16E35)

Related Items (8)

Derived equivalences in \(n\)-angulated categories ⋮ Constructions of derived equivalences for algebras and rings ⋮ A note on derived equivalences for \(\Phi\)-Green algebras ⋮ Dominant dimensions, derived equivalences and tilting modules ⋮ Derived equivalences for \(\Phi\)-Cohen-Macaulay Auslander-Yoneda algebras. ⋮ Approximations, ghosts and derived equivalences ⋮ A construction of derived equivalent pairs of symmetric algebras ⋮ Derived Equivalences Between Subrings

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