2020/02/18 by Bravo, Diego, Lanzilotta, Marcelo, Mendoza, Octavio +1 · 1 citation
#16E05 #16E10 #16G10 (Primary) #FOS: Mathematics #Representation Theory (math.RT)
paper · doi:10.48550/arxiv.2002.07866
In this paper we study a generalisation of the Igusa-Todorov functions which gives rise to a vast class of algebras satisfying the finitistic dimension conjecture. This class of algebras is called Lat-Igusa-Todorov and includes, among others, the Igusa-Todorov algebras (defined by J. Wei) and the self-injective algebras which in general are not Igusa-Todorov algebras. Finally, some applications of the developed theory are given in order to relate the different homological dimensions which have been discussed through the paper.