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 …

In this paper, we develop new ideas regarding the finitistic dimension conjecture, or the
findim conjecture for short. Specifically, we improve upon the delooping level by introducing …

We will show that there exists a close relationship between quasi-hereditary algebras of
Cline-Parshall-Scott and the rejection theory from the viewpoint of the approximation theory …

Let A be an Artin algebra and e be an idempotent element of A. We prove that if A has
representation dimension at most three, then the finitistic dimension of eAe is finite, and …

We present discrete models of special biserial (SB) algebras and their string modules,
drawing inspiration from cellular automata, and cast new light on patterns among syzygies …

Any gentle algebra $ A $ with one maximal path corresponds to a unique quasi-diagram
$\alpha $. We introduce the regularity for $\alpha $, and show that $ A $ has finite global …

In continuation of our paper [R. Bocian, T. Holm, A. Skowroński, Derived equivalence
classification of weakly symmetric algebras of Euclidean type, J. Pure Appl. Algebra 191 …

Let Λ be an artin algebra, A and C be full subcategories of the category of finitely generated
Λ-modules consisting of indecomposable modules and closed under predecessors and …

The representation dimension of a finite dimensional algebra has been introduced by
Auslander in his Queen Mary College notes [1]. Rouquier [8] has shown that the …

We establish a lower bound for the representation dimension of all the classical Hecke
algebras of types A, B and D. For all the type A algebras, and “most” of the algebras of types …