Tilting and Cotilting Classes Over Gorenstein Rings

Abstract

Let R be a Gorenstein ring of Krull dimension n. For each subset P of hspec R we construct a tilting class T(P) such that P = Ass ^{\perp} T(P) \cap hspec R.

For n = 1 we prove that the classes T(P) are the only tilting classes of modules, i.e., all tilting modules are equivalent to the Bass ones.

Keywords

• Tilting
• Cotilting
• Classes
• Gorenstein
• Rings