arXiv:1904.11903v2 [math.RT] 27 May 2020 Page 1 arXiv:1904.11903v2 [math.RT] 27 May
2020 STRATIFYING SYSTEMS THROUGH τ-TILTING THEORY OCTAVIO MENDOZA AND …

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 …

We show that a right artinian ring R is right self-injective if and only if ψ (M)= 0 (or
equivalently ϕ (M)= 0) for all finitely generated right R-modules M, where ψ, ϕ:\!\!\!\!\modR→ …

Finitistic dimension through infinite projective dimension Page 1 Bull. London Math. Soc. 41
(2009) 367–376 Cо2009 London Mathematical Society doi:10.1112/blms/bdp010 Finitistic …

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 this paper we study the behaviour of the Igusa–Todorov functions for radical square zero
algebras. We show that the left and the right ϕ-dimensions coincide, in this case. Some …

Given a truncated path algebra A= 𝕜Q J k A=\BbbkQJ^k we prove that ϕ dim A= ϕ dim A op.
We also compute the ϕ-dimension of A as a function of the ϕ-dimension of 𝕜Q J 2 …

In this article we prove that, under certain hypotheses, Morita context algebras with zero
bimodule morphisms have finite ϕ-dimension. For these algebras we also study the …

Abstract In Igusa and Todorov (2005) introduced two functions ϕ and ψ, which are natural
and important homological measures generalising the notion of the projective dimension …