Abstract elementary classes induced by tilting and cotilting modules have finite character

DOI10.1090/S0002-9939-08-09618-4zbMath1168.03025WikidataQ57571177 ScholiaQ57571177MaRDI QIDQ3617603

Jan Trlifaj

Publication date: 30 March 2009

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

zbMATH Keywords

Extabstract elementary classtilting modulecotilting modulefinite characterdefinable class

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Classification theory, stability, and related concepts in model theory (03C45) Properties of classes of models (03C52) Applications of logic in associative algebras (16B70)

Related Items (2)

Kaplansky classes, finite character and ℵ1-projectivity ⋮ Interpreting groups and fields in simple, finitary AECs

Cites Work

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• Abstract elementary classes and infinitary logics
• When are definable classes tilting and cotilting classes?
• Independence in finitary abstract elementary classes
• \(^{\perp}N\) as an abstract elementary class
• Approximations and endomorphism algebras of modules.
• All 𝑛-cotilting modules are pure-injective
• All tilting modules are of finite type
• Cotilting and tilting modules over Prüfer domains

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