The Igusa-Todorov ϕ-dimension on Morita context algebras.

The small finitistic dimension conjecture states that the finitistic dimension of an Artin algebra is finite. M. Barrios and G. Mata prove that under certain hypotheses, Morita context algebras with zero bimodule morphisms have finite ϕ-dimension. For these algebras the authors also study the behavior of the ϕdimension for an algebra and its opposite. They show that the ϕ-dimension of an Artin algebra is not symmetric, i.e., there exists an Artin algebra A such that ϕdim(A) ̸ = ϕdim(Aop).