Tilting modules over small Dedekind domains

✍ Scribed by Jan Trlifaj; Simone L. Wallutis

• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 109 KB
• Volume: 172
• Category: Article
• ISSN: 0022-4049
• DOI: 10.1016/s0022-4049(01)00131-1

✦ Synopsis

A Dedekind domain R is called small if card(R) 6 2 ! and card(Spec(R)) 6 !. Assuming G odel's Axiom of Constructibility (V = L), we characterize tilting modules over small Dedekind domains. In particular, we prove that under V = L, a class of modules, T , is a tilting torsion class i there is a set P ⊆ Spec(R) such that T = {M ∈ Mod-R | Ext 1 R (R=p; M ) = 0 for all p ∈ P}.