Tilting modules and tilting torsion pairs - filtrations induced by tilting modules

Abstract

Tilting modules, generalising the notion of progenerator, furnish equivalences between pieces of module categories. This paper is dedicated to study how much these pieces say about the whole category. We will survey the existing results in the literature, introducing also some new insights.

References in corpus (2)

• The tilting-cotilting correspondence
• The t-structure induced by an n-tilting module

Cited by in corpus (1)

• Hearts for commutative noetherian rings: torsion pairs and derived equivalences