When are definable classes tilting and cotilting classes?

DOI10.1016/j.jalgebra.2008.08.028zbMath1167.16004OpenAlexW2050857657MaRDI QIDQ2378606

Silvana Bazzoni

Publication date: 13 January 2009

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.08.028

zbMATH Keywords

precoversfunctor categoriespreenvelopestilting classesdefinable classesclasses of cofinite typeclasses of finite typecoresolving classescotilting classesdefinable torsion classesresolving classes

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Module categories in associative algebras (16D90) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Applications of logic in associative algebras (16B70)

Related Items (10)

TTF triples in functor categories. ⋮ Locally finitely presented and coherent hearts ⋮ Injective cogenerators, cotilting modules and cosilting modules ⋮ Cotilting with balanced big Cohen-Macaulay modules ⋮ Silting and cosilting classes in derived categories ⋮ Covers in finitely accessible categories ⋮ Exact categories and infinite tilting ⋮ Tilting and cotilting modules over concealed canonical algebras ⋮ Abstract elementary classes induced by tilting and cotilting modules have finite character ⋮ On the abundance of silting modules

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