The notion of Igusa–Todorov algebras is introduced in connection with the (little) finitistic
dimension conjecture, and the conjecture is proved for those algebras. Such algebras …

In 2005, the second author and Todorov introduced an upper bound on the finitistic
dimension of an Artin algebra, now known as the ϕ ϕ-dimension. The ϕ ϕ-dimension …