A characterization of \(n\)-Gorenstein tilting comodules

DOI10.1007/s10485-022-09688-8OpenAlexW4285796319MaRDI QIDQ2105669

Yexuan Li, Hai-Lou Yao

Publication date: 8 December 2022

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10485-022-09688-8

zbMATH Keywords

comoduleGorenstein coalgebraGorenstein injective comoduleGorenstein tilting comodule

Mathematics Subject Classification ID

Relative homological algebra, projective classes (category-theoretic aspects) (18G25) Coalgebras and comodules; corings (16T15)

Cites Work

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• Applications of balanced pairs
• On Gorenstein injective and projective comodules.
• Relative homological coalgebras.
• Tilting modules of finite projective dimension
• Preprojective modules over Artin algebras
• Semiperfect coalgebras
• Some co-hom functors and classical tilting comodules
• A characterization of \(n\)-cotilting and \(n\)-tilting modules.
• Quasi-co-Frobenius coalgebras
• Tilting modules and tilting torsion theories
• Relative homological algebra
• Gorenstein coalgebras
• Semidualizing and tilting adjoint pairs, applications to comodules.
• A note on relative tilting modules.
• Tilting torsion-free classes in the category of comodules
• Infinitely generated tilting modules of finite projective dimension
• Coalgebras, comodules, pseudocompact algebras and tame comodule type
• Gorenstein Cotilting and Tilting Modules
• Relative homology and representation theory 1
• Relative homology and representation theory II
• Relative homology and representation theory III
• Tilted Algebras
• Rings characterized by (pre)envelopes and (pre)covers of their modules^∗
• The Auslander–Reiten formula for comodule categories with applications to partial tilting comodules and tilting global dimension
• Relative torsion classes, relative tilting, and relative silting modules
• Foundations of relative homological algebra
• (Weakly) Gorenstein injective and (weakly) Gorenstein coflat comodules
• Tilting preenvelopes and cotilting precovers

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