Tilting up algebras of small homological dimensions

✍ Scribed by Flávio Ulhoa Coelho; Dieter Happel; Luise Unger

• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 219 KB
• Volume: 174
• Category: Article
• ISSN: 0022-4049
• DOI: 10.1016/s0022-4049(02)00050-6

✦ Synopsis

We consider algebras which satisfy the property that for each indecomposable module X; either its projective dimension pd X is at most one or its injective dimension id X is at most one and that the global dimension gl dim is three. We will show that this class is in bijective correspondence with a class of algebras of global dimension two admitting a special tilting torsion pair.