Abstract Let A, B and C be artin algebras such that there is a recollement of D (Mod A)
relative to D (Mod B) and D (Mod C). We compare the algebras A, B and C with respect to …

Let T, U be two Artin algebras and MTU be a UT-bimodule. In this paper, we study the
extension dimension of the formal triangular matrix algebra Λ=(T 0 MU). It is proved that if …

Let Λ (0, 0)=(AANBBMAB) be a Morita ring which is an Artin algebra and has zero bimodule
homomorphisms. Assume that AN, NB, MA and BM are projective modules. For any positive …

In this paper we study a generalisation of the Igusa-Todorov functions which gives rise to a
vast class of algebras satisfying the finitistic dimension conjecture. This class of algebras is …

We investigate the behavior of the extension dimension of subcategories of abelian
categories under recollements. Let Λ′, Λ, Λ ″be artin algebras such that (mod Λ′, mod Λ …

In this paper we define (special) GLIT classes and (special) GLIT algebras. We prove that
GLIT algebras, which generalise Lat-Igusa-Todorov algebras, satisfy the finitistic dimension …

In 2021 the authors D. Bravo, M. Lanzilotta, O. Mendoza and J. Vivero gave a generalization
of the concept of Igusa-Todorov algebra and proved that those algebras, named Lat-Igusa …