… 2-)Igusa–Todorov algebras and thus obtain many algebras such that the finitistic dimension
conjecture holds. In particular, we show that the class of 2-Igusa–Todorov algebras is closed …

… of the state of the finitistic global dimension conjecture can be … finitistic dimension conjecture
for algebras with weak representation dimension at most 3, and consequently for algebras …

… We prove that the Finitistic Dimension Conjecture holds for … some cases of three) modules
of infinite projective dimension. … In this section, we recall the Igusa–Todorov function [7] and …

… the finiteness of finitistic dimensions of quotient algebras and that of given algebras, and …
For the convenience of the reader, we give the basic properties of Igusa-Todorov function …

… an (m + n)-Igusa–Todorov algebra); in particular, the finitistic dimension … finitistic dimension
conjecture holds for all Igusa–Todorov algebras, and the class of 2-Igusa–Todorov algebras …

… In this paper, for an artin R-algebra A and the Igusa-Todorov function φ, we characterise the
… -Todorov functions. In particular, Igusa-Todorov algebras have finite finitistic dimension. The …

… dimension of its endomorphism algebra, and discuss a connection with the Finitistic Dimension
… that triangular matrix algebras obtained from Auslander algebras and certain injective …

… algebras to enlarge our knowledge on finitistic dimensions, namely, we study questions of the
following type: suppose two artin algebras A … Igusa and Todorov define a function Ψ on this …

… In an attempt to prove the finitistic dimension conjecture, Igusa and Todorov defined in [9]
two functions from the objects of \({{\,\mathrm{{\mathrm{mod}}}\,}}A\) (the category of right …

… pd M is the projective dimension of M. This definition … Artin algebra Λ there is a bound for
the finitistic dimension fin . dim ( Λ ) . For further reading into the history of the finitistic dimension …