A graded Artin algebra is a graded ring which, neglecting the grading, is an Artin algebra.
Although this definition has the merit of brevity, it does not expose some of the basic …

Let A be an Artin algebra. The A-modules which we consider are always left modules of
finite length. If X, Y, Z are A-modules, the composition of maps f: X~ Y and g: Y~ Z is denoted …

We classify thick subcategories of the bounded derived category of a hereditary abelian
category A in terms of subcategories of A. The proof can be applied to characterize the …

Let $\Lambda $ be an artin algebra $\mathfrak {A} $ and a two-sided ideal of $\Lambda $.
Then $\mathfrak {A} $ is the trace of a projective $\Lambda $-module $ P $ in $\Lambda …

An Artin algebra is by definition virtually Gorenstein if the class of modules which are right
orthogonal (with respect to $\operatorname {Ext}^*(-,-) $) to all Gorenstein projective …

Let Λ be an Artin algebra over a commutative Artin ring R and let modΛ be the category of
finitely generated left Λ-modules. For a module M∈ modΛ, we denote by pdΛ M the …

Let $\Lambda $ be an artin algebra or, more generally, a locally bounded associative
algebra, and $\mathcal {S}(\Lambda) $ the category of all embeddings $(A\subseteq B) …

In their study of the representation theory of finite-dimensional tensor algebras Dlab and
Ringet [Ill described certain modules which they called preprojective and preinjective …

Based on work of Rouquier, some bounds for Aulander's representation dimension are
discussed. More specifically, if X is a reduced projective scheme of dimension n over some …

Let be an Artin algebra over a commutative Artin ring R and let mod be the category of
finitely generated left-modules. For a module M∈ mod we denote by pd M the projective …