Abstract We revisit Auslander–Buchweitz approximation theory and find some relations with
cotorsion pairs and model category structures. From the notion of relative generators, we …

Let G denote a possibly discrete topological group admitting an open subgroup I which is
pro-p. If H denotes the corresponding Hecke algebra over a field k of characteristic p, then …

In this paper we study the behavior 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 …

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-Todorov …

Abstract Lat-Igusa-Todorov algebras are a natural generalization of Igusa-Todorov algebras.
They are defined using the generalized Igusa-Todorov functions given in Bravo et al.(J …

A survey on Igusa-Todorov functions Page 1 arXiv:2310.09283v1 [math.RT] 13 Oct 2023 A
survey on Igusa-Todorov functions Marcos Barriosa, Marcelo Lanzilottaa, Gustavo Mataa,∗ …

Co-Gorenstein algebras were introduced by A. Beligiannis in\cite {B}. In\cite {KM}, the
authors propose the following conjecture (Co-GC): if $\Omega^ n (\mod A) $ is extension …

In this paper, firstly, we characterize some rings by strict Mittag-Leffler conditions. Then, we
investigate when Gorenstein projective modules are Gorenstein flat by employing tilting …

Co-Gorenstein algebras were introduced by Beligiannis in [A. Beligiannis, The homological
theory of contravariantly finite subcategories: Auslander–Buchweitz contexts, Gorenstein …

Gustavo Mata abstract: The aim of this paper is to study the relation between the Igusa-
Todorov functions for A, a finite dimensional algebra, and the algebra AQ. In particular it is …