Let AA be an abelian category having enough projective objects and enough injective
objects. We prove that if AA admits an additive generating object, then the extension …

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 …

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 …

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 …

There is a well-known class of algebras called Igusa-Todorov algebras which were
introduced in relation to finitistic dimension conjecture. As a generalization of Igusa-Todorov …

We introduce the notion of Igusa-Todorov dimension, and prove that this dimension is an
invariant under derived equivalent. Igusa-Todorov dimension also give a characterization of …

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 …

Let Λ be an artin algebra and is semisimple. If either none or the direct sum of exactly two
consecutive ideals has infinite projective dimension, then the finitistic dimension conjecture …

Let $ A $ be an Artin algebra, $ M $ be a Gorenstein projective $ A $-module and $ B= $ End
$ _A M $, then $ M $ is a $ A $-$ B $-bimodule. We use the restricted flat dimension of …

Let A be an artin algebra, M be a 𝒲-Gorenstein A-module and B= End AM, then M is a AB-
bimodule. We use the restricted flat dimension of MB and the finitistic 𝒲-dimension of A to …