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most citedIgusa-Todorov functions for radical square zero algebras

3 citations · 3 across the 3 of their papers we have counts for

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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.RT2020

Nearly Frobenius dimension on Frobenius algebras

Dalia Artenstein, Ana González, Gustavo Mata

This article is divided into two parts. In the first part we work over a field and prove that the Frobenius space associated to a Frobenius algebra is generated as lef…

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,…

math.RT2016

Igusa-Todorov functions for Artin algebras

Marcelo Lanzilotta, Gustavo Mata

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…

math.RT20153 cited

Igusa-Todorov functions for radical square zero algebras

M. Lanzilotta, E. N. Marcos, G. Mata

We study the behaviour of the Igusa-Todorov functions for radical square zero algebras. We show that the left and the right -dimensions coincide, in this case. Some general resu…