Tilting via torsion pairs and almost hereditary noetherian rings

Abstrakt

We generalize the tilting process by Happel, Reiten and Smalo to the setting of finitely presented modules over right coherent rings. Moreover, we extend the characterization of quasi-tilted artin algebras as the almost hereditary ones to all right noetherian rings.

Klíčová slova

• Tilting
• torsion pairs
• almost hereditary rings