9 papers
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.
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…
Continuous homomorphisms on piecewise absolutely continuous maps of
Marcos Barrios
Let be the group of interval exchange transformation of and be the group of absolutely continuous preservi…
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…
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…
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…