On partial tilting modules and bounded complexes.

DOI10.1007/s11856-008-1018-xzbMath1194.16009OpenAlexW1990561815MaRDI QIDQ948872

Gabriella D'Este

Publication date: 16 October 2008

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-008-1018-x

zbMATH Keywords

tilting modulesprojective resolutionsindecomposable complexestilting complexesbounded complexes of projective modulescategories of right bounded complexes

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Free, projective, and flat modules and ideals in associative algebras (16D40) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Representations of quivers and partially ordered sets (16G20) Syzygies, resolutions, complexes in associative algebras (16E05) Derived categories and associative algebras (16E35)

Related Items

Tilting theory: a gift of representation theory to mathematics, On partial tilting modules and right bounded complexes.

Cites Work

• Tame algebras and integral quadratic forms
• Perpendicular categories with applications to representations and sheaves
• A characterization of \(n\)-cotilting and \(n\)-tilting modules.
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• All tilting modules are of countable type
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• Tilting in abelian categories and quasitilted algebras
• All tilting modules are of finite type
• Constructing tilting modules
• Tilting modules and Gorenstein rings
• Complements to Projective Almost Complete Tilting Modules
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