REPRESENTATION DIMENSION OF QUASI-TILTED ALGEBRAS 1. Introduction The
representation dimension of an artin algebra has been intr Page 1 REPRESENTATION …

Let Λ be a finite dimensional k-algebra over an algebraically closed field k and let ΛT be a
splitting tilting module of projective dimension at most 1. Let Γ= EndΛT. If the representation …

We consider algebras Λ which satisfy the property that for each indecomposable module ΛX,
either its projective dimension pd ΛX is at most one or its injective dimension id ΛX is at most …

To any Frobenius superalgebra A we associate an oriented Frobenius Brauer category and
an affine oriented Frobenius Brauer category. We define natural actions of these categories …

We give new properties of algebras with finite Gorenstein dimension coinciding with the
dominant dimension $\geq 2$, which are called Auslander-Gorenstein algebras in the …

Let A be a finite dimensional algebra over a field k. In this paper, we study dominant
dimension from the point of view of the idempotent ideals. The canonical A-bimodule V …

The dominant dimension of an algebra $ A $ provides information about the connection
between $ A\textrm {-mod} $ and $ B\textrm {-mod} $ for $ B= eAe $, a certain centralizer …

Assume that K is an algebraically closed field, R a locally support-finite locally bounded K-
category, G a torsion-free admissible group of K-linear automorphisms of R and A= R/G. We …

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 …

The filtrations on Zhu's algebra $ A (V) $ and bimodules $ A (M) $ are studied. As an
application, we prove that $ A (V) $ is noetherian when $ V $ is strongly finitely generated …