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math.RT2022
The Igusa-Todorov -dimension on Morita context algebras
Marcos Barrios, Gustavo Mata
In this article we prove that, under certain hypotheses, Morita context algebras that have zero bimodule morphisms have finite -dimension. We also study the behaviour of the …
math.RT2021
On Lat-Igusa-Todorov algebras
Marcos Barrios, Gustavo Mata
Lat-Igusa-Todorov algebras are a natural generalization of Igusa-Todorov algebras. They are defined using the generalized Igusa-Todorov functions given in \cite{BLMV} and also veri…
math.RT2018
Gaps for the Igusa-Todorov function
Marcos Barrios, Gustavo Mata, Gustavo Rama
For a finite dimensional algebra with we prove that there always exist modules and such that and . On the other hand,…