Subcategories of the derived category and cotilting complexes

• Autorzy: Aslak Bakke Buan
• Języki publikacji: EN

Abstrakty

EN

We show that there is a one-to-one correspondence between basic cotilting complexes and certain contravariantly finite subcategories of the bounded derived category of an artin algebra. This is a triangulated version of a result by Auslander and Reiten. We use this to find an existence criterion for complements to exceptional complexes.

Kategorie tematyczne

• 16G30: Representations of orders, lattices, algebras over commutative rings
• 16D90: Module categories ; module theory in a category-theoretic context; Morita equivalence and duality
• 16E05: Syzygies, resolutions, complexes

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2001
• Tom: 88
• Numer: 1
• Strony: 1-11

Daty

wydano

2001

Twórcy

autor

Aslak Bakke Buan

• Institutt for matematiske fag, Norges teknisk-naturvitenskapelige universitet, N-7491 Trondheim, Norway

Identyfikatory

DOI

10.4064/cm88-1-1