3 citations · 3 across the 10 of their papers we have counts for
15 papers
Bounds on Frobenius dimension
D. Artenstein, J. Cóppola, J. Finot +2
In this article, we prove two types of results about the Frobenius dimension of associative algebras. First, we refine the known upper bound for the Frobenius dimension of a finite…
Delooping levels
Marcos Barrios, Marcelo Lanzilotta, Gustavo Mata
In [8] V. Gélinas introduced a homological invariant, called {\it delooping level} (dell), that bounds the finitistic dimension. In this article, we introduce another homological i…
A survey on Igusa-Todorov functions
Marcos Barrios, Marcelo Lanzilotta, Gustavo Mata
In this survey, we review the fundamental properties of the Igusa-Todorov functions, the -dimension, the -dimension and their generalizations.
Handle element on nearly Frobenius algebras
Dalia Artenstein, Ana González, Gustavo Mata
In this article the concept of handle element of Frobenius algebras, as in [16], will be extended to nearly Frobenius algebras. The main properties of this element will be analyzed…
Igusa-Todorov and LIT algebras on Morita context algebras
M. Barrios, G. Mata
In this article, we prove that, under certain conditions, Morita context algebras that arise from Igusa-Todorov (LIT) algebras and have zero bimodule morphisms are also Igusa-Todor…
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 …
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…
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…
On algebras of -finite and -infinite representation type
Marcos Barrios, Gustavo Mata
Co-Gorenstein algebras were introduced by A. Beligiannis in \cite{B}. In \cite{KM}, the authors propose the following conjecture (Co-GC): if is extension closed for…
Nearly Frobenius theory and semisimplicity of bimodules
Dalia Artenstein, Ana González, Gustavo Mata
In the first part of this article we prove that one of the conditions required in the original definition of nearly Frobenius algebra, the coassociativity, is redundant. Also, we d…
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,…
The Igusa-Todorov function for truncated path algebras
Marcos Barrios, Gustavo Mata, Gustavo Rama
Given a truncated path algebra we prove that $\fidim A = \fidim A^{\op}$. We also compute the -dimension of in function of the -dimension of $\fra…
Nearly Frobenius structures in some families of algebras
Dalia Artenstein, Ana González, Gustavo Mata
In this article we continue with the study started in [1] of nearly Frobenius structures in some representative families of finite dimensional algebras, as the radical square zero…
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…
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…