Thursday, February 23, 10:30


Relative Auslander-Gorenstein Pairs.

Abstract:
In this talk we introduce relative Auslander-Gorenstein pairs. This consists of a finite dimensional Gorenstein algebra together with a self-orthogonal module that provides a further homological feature of the algebra in terms of relative dominant dimension (as introduced recently by Cruz). We will characterize relative Auslander pairs by the existence and uniqueness of tilting-cotilting modules having higher values relative dominant and codominant dimension with respect to the self-orthogonal module. We will illustrate our results with explicit examples. This is joint work with Tiago Cruz.