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

Published 10 Jan 2019 in math.RA and math.RT | (1901.03168v1)

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.

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