TILTING COMPLEXES DEFINED BY IDEMPOTENTS

DOI10.1081/AGB-120006480zbMath1002.16004MaRDI QIDQ4531135

Yoshiaki Kato, Mitsuo Hoshino

Publication date: 1 January 2003

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

zbMATH Keywords

idempotentsendomorphism ringsderived categories of bounded complexesBroué's conjecturetilting complexesauto-equivalencesselfinjective Artinian algebras

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Representations of associative Artinian rings (16G10) Syzygies, resolutions, complexes in associative algebras (16E05)

Related Items

Relative derived equivalences and relative homological dimensions, Derived equivalences and Gorenstein algebras, ON HOMOLOGICAL FROBENIUS COMPLEXES AND BIMODULES, Constructions of derived equivalences for algebras and rings, Bijections of silting complexes and derived Picard groups, TTF theories induced by two-term tilting complexes and self-injective algebras, Tilting complexes associated with a sequence of idempotents., Recollement and tilting complexes., Tilting-connected symmetric algebras., Frobenius extensions and tilting complexes., Categorification of a linear algebra identity and factorization of Serre functors, On \(t\)-structures and torsion theories induced by compact objects, A reduction theorem for \(\tau\)-rigid modules, On Partial Tilting Complexes, Derived equivalences for Φ-Auslander-Yoneda algebras, On Derived Equivalences for Selfinjective Algebras, An elementary construction of tilting complexes

Cites Work

• Derived categories and Morita duality theory
• Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
• Morita Theory for Derived Categories
• Picard Groups for Derived Module Categories
• Derived Equivalences As Derived Functors