Let $\Lambda $ be an artin algebra, let $\bmod\Lambda $ be the category of finitely
generated $\Lambda-{\text {modules}} $, and let $ p {d_1}\bmod\Lambda $ be the …

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 …

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 …

FINITENESS OF REPRESENTATION DIMENSION M. Auslander introduced a concept of
representation dimension of artin algebras in [A], w Page 1 PROCEEDINGS OF THE …

In this paper, we study, for an artin algebra, the class LA (and RA) which is a full subcategory
of the category modA of finitely generated A-modules, and which consists of all …

We will study the resolution dimension of functorially finite subcategories. The subcategories
with the resolution dimension zero correspond to ring epimorphisms, and rejective …

ALGEBRAS OF FINITE SELF-INJECTIVE DIMENSION Page 1 PROCEEDINGS of the
AMERICAN MATHEMATICAL SOCIETY Volume 112, Number 3, July 1991 ALGEBRAS OF …

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 …

Throughout this paper we assume that all modules are finitely generated over an artin
algebra L!. We denote by mod/i the category of all finitely generated/i-modules. The notions …

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 …