The derived dimensions of (m,n)-Igusa-Todorov algebras

Abstract

We give an upper bound for the dimension of the bounded derived categories of (m,n)-Igusa-Todorov algebras, where m,n are two nonnegative integers. As an applications, we get a new upper bound for the dimension of bounded derived categories in terms of the projective dimensions of certain of simple modules as well as radical layer length of artin algebra Λ.