Calabi–Yau Coalgebras

DOI10.1080/00927872.2011.617270zbMath1255.16040arXiv1010.1055OpenAlexW2132343691MaRDI QIDQ3225599

Yinhuo Zhang, Ji-Wei He, Freddy M. J. van Oystaeyen, Blass Torrecillas Jover

Publication date: 22 March 2012

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.1055

zbMATH Keywords

derived categoriesgraded algebrasquiversresolutionspath coalgebrasCalabi-Yau coalgebras

Mathematics Subject Classification ID

Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Resolutions; derived functors (category-theoretic aspects) (18G10) Representations of quivers and partially ordered sets (16G20) Coalgebras and comodules; corings (16T15)

Related Items (1)

Hopf-cyclic cohomology of quantum enveloping algebras

Cites Work

• Unnamed Item
• Poincaré-Birkhoff-Witt deformations of Calabi-Yau algebras.
• Reflexivity and coalgebras of finite type
• Pre-balanced dualizing complexes
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• Coalgebras, comodules, pseudocompact algebras and tame comodule type
• LOCALIZATION IN COALGEBRAS: APPLICATIONS TO FINITENESS CONDITIONS
• Fomin-Zelevinsky mutation and tilting modules over Calabi-Yau algebras
• Calabi-Yau objects in triangulated categories
• HEREDITARY AND PATH COALGEBRAS
• IDEMPOTENTS AND MORITA-TAKEUCHI THEORY
• On path coalgebras of quivers with relations
• Hereditary coalgebras
• Dualizing complexes over noncommutative local rings

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