2016/05/31 by Marcelo Lanzilotta, Lanzilotta, Marcelo, Gustavo Mata +1
Mathematics · #FOS: Mathematics #K-Theory and Homology (math.KT) #Representation Theory (math.RT) #math.KT #math.RT
paper · pdf · doi:10.48550/arxiv.1605.09766
arxiv created 2016/05/31 · arxiv updated 2016/06/03
In this paper we study the behaviour of the Igusa-Todorov functions for Artin algebras A with finite injective dimension, and Gorenstein algebras as a particular case. We show that the ϕ-dimension and ψ-dimension are finite in both cases. Also we prove that monomial, gentle and cluster tilted algebras have finite ϕ-dimension and finite ψ-dimension.