Let A be an Artin algebra. If V∈modA such that the global dimension of End_AV is at most 3,
then for any M∈add_AV, both B and B op are 2-Igusa–Todorov algebras, where …

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 …

arXiv:1107.4143v1 [math.RT] 21 Jul 2011 Subalgebras and finitistic dimensions of Artin
algebras Page 1 arXiv:1107.4143v1 [math.RT] 21 Jul 2011 Subalgebras and finitistic …

The article compares the finitistic dimensions of two algebras involved in an idealized
extension of Artin algebras under certain conditions. Precisely, we prove that, for the …

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 give an upper bound for the dimension of the bounded derived categories of (m, n)-
Igusa-Todorov algebras, where m, n are two nonnegative integers. As an applications, we …

In this paper, we study the finitistic dimensions of artin algebras by establishing a
relationship between the global dimensions of the given algebras, on the one hand, and the …

Let A be an Artin algebra and e an idempotent element in A. In this paper, we use co-
homological conditions on A to control the finitistic dimension of eAe. Such a consideration …

The famous finitistic dimension conjecture says that every finite-dimensional 𝕂-algebra over
a field 𝕂 should have finite finitistic dimension. This conjecture is equivalent to the following …

We investigate the inequality $\operatorname {Findim}\Lambda^{op}\leq\operatorname
{dell}\Lambda $ between the finitistic dimension and the delooping level of an Artin algebra …