Igusa-Todorov and LIT algebras on Morita context algebras.

M. Barrios and G. Mata prove that, under certain conditions, Morita context algebras that arise from Igusa-Todorov (LIT) algebras and have zero bimodule morphisms are also Igusa-Todorov. For a finite dimensional algebra A, the authors prove that the class ϕ−1 0 (A) ={M :ϕ(M)=0} is a 0-Igusa-Todorov subcategory if and only if A is selfinjective or gldim(A) < ∞. As a consequence A is an (n,V,ϕ−1 0 (A)) algebra if and only if A is selfinjective or the global dimension of A is finite.