Dualities on generalized Koszul algebras

DOI10.1090/memo/0754zbMath1012.16033OpenAlexW2039575274MaRDI QIDQ3151292

Idun Reiten, Øyvind Solberg, Edward Lee Green

Publication date: 8 October 2002

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/memo/0754

zbMATH Keywords

dualitiescotilting modulesquadratic algebrasKoszul algebrasYoneda algebrascategories of Koszul modules

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Syzygies, resolutions, complexes in associative algebras (16E05) Graded rings and modules (associative rings and algebras) (16W50) Preadditive, additive categories (18E05) Quadratic and Koszul algebras (16S37)

Related Items (21)

A construction of strong tilting modules ⋮ Hochschild cohomology and derived Picard groups. ⋮ Wakamatsu tilting modules. ⋮ Unnamed Item ⋮ Further properties and applications of Koszul pairs ⋮ A Poincaré-Birkhoff-Witt theorem for quadratic algebras with group actions ⋮ Wakamatsu-silting complexes ⋮ Balance functors and relative tilting modules ⋮ Generalized Koszul algebra and Koszul duality ⋮ Quasi-hereditary covers of higher zigzag algebras of type \(A\) ⋮ Koszul monoids in quasi-abelian categories ⋮ Quasi-hereditary algebras and generalized Koszul duality. ⋮ A generalized Koszul theory and its application ⋮ On a common generalization of Koszul duality and tilting equivalence. ⋮ PBW deformations of Koszul algebras over a nonsemisimple ring. ⋮ Quadratic duals, Koszul dual functors, and applications ⋮ Koszul duality and equivalences of categories ⋮ The homological theory of quasi-resolving subcategories ⋮ A generalized Koszul theory and its relation to the classical theory. ⋮ REPETITIVE EQUIVALENCES AND TILTING THEORY ⋮ Representations of modular skew group algebras

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