Cotilting modules over tame hereditary algebras

Aslak Bakke Buan and Henning Krause

Vol. 211 (2003), No. 1, 41–59

DOI: 10.2140/pjm.2003.211.41

Abstract

For a left noetherian ring , we establish a bijective correspondence between equivalence classes of cotilting -modules which are not necessarily finitely generated, and torsion pairs (𝒯 ,ℱ) for the category of finitely generated Λ-modules with Λ ∈ℱ. In the second part of this paper, we give a complete classification of all cotilting modules over a tame hereditary artin algebra.

Milestones

Received: 8 April 2002

Revised: 6 November 2002

Published: 1 September 2003