Dominant dimensions, derived equivalences and tilting modules

DOI10.1007/s11856-016-1327-4zbMath1387.16011arXiv1503.02385OpenAlexW2143465149MaRDI QIDQ502987

Changchang Xi, Hongxing Chen

Publication date: 11 January 2017

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.02385

zbMATH Keywords

tilting modulesMorita algebraNakayama conjecture

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Representations of associative Artinian rings (16G10) Homological dimension in associative algebras (16E10)

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Cites Work

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• Inductions and restrictions for stable equivalences of Morita type
• \(\mathcal D\)-split sequences and derived equivalences.
• Endomorphism algebras of generators over symmetric algebras.
• Frobenius algebras. I: Basic representation theory.
• Finiteness of finitistic dimension is invariant under derived equivalences.
• Tilting modules, dominant dimension and exactness of duality functors
• Reduction techniques for homological conjectures
• Morita algebras
• Derived equivalences from cohomological approximations and mutations of Φ-Yoneda algebras
• Derived Equivalences Between Subrings
• Derived equivalences and stable equivalences of Morita type, I
• Morita Theory for Derived Categories
• Homological Theory of Idempotent Ideals
• The Existence of Bounded Infinite DTr-Orbits
• Injective resolutions of Noetherian rings and cogenerators
• The Classification of Algebras by Dominant Dimension