Let R be a finite dimensional k-algebra over an algebraically closed field k and modR be the
category of all finitely generated left R-modules. For a given full subcategory X of modR, we …

We find a simple condition which implies finiteness of finitistic global dimension for artin
algebras. As a consequence we obtain a short proof of the finitistic global dimension …

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 …

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 …

There exists a hierachy of homological conjectures for finitely generated modules over an
Artin algebra A. The generalized Nakayama conjecture for example states that each …

Given an Ext-injective stratifying system of Λ-modules (θ, Y̲,≼) satisfying that the projective
dimension of Y is finite, we prove that the finitistic dimension of the algebra Λ is equal to the …

Derived equivalence preserves many invariants of algebras, for example, the number of
irreducible representations, the finiteness of global dimension, and the algebraic K-theory …

We use the class of representation-finite algebras to investigate the finitistic dimension
conjecture. In this way we obtain a large class of algebras for which the finitistic dimension …

The finitistic dimension conjecture asserts that any finite-dimensional algebra over a field
has finite finitistic dimension. Recently, this conjecture is reduced to studying finitistic …

Let A be an Artin algebra. We denote by mod A the category of finitely generated left A-
modules. For XE mod A we denote by pdAX the projective dimension of X. For n CN we …