  In [6] the authors gave a generalization of the concept of Igusa-Todorov
algebra and proved that those algebras, named Lat-Igusa-Todorov (or LIT for
short), satisfy the finitistic dimension conjecture. In this paper we explore
the scope of that generalization and give conditions for a triangular matrix
algebra to be LIT in terms of the algebras and the module used in its
definition.
