The aim of this paper is to give a unification of the theory of (co) tilting modules and (higher)
Auslander correspondence by using faithfully balanced modules (ie, faithful modules with …

Let $ R $ be a ring, $ F $ a subbifunctor of the functor Ext $^{1} _ {R}(-,-) $, $\mathcal {W} _
{F} $ a self-orthogonal class of left $ R $-modules respect to $ F $. We introduce $\mathcal …

This thesis studies faithfully balanced modules, which are faithful modules with the double
centralizer property, and their relative version. For finite-dimensional algebras our main tool …