In this work, we develop the theory of k-idempotent ideals in the setting of dualizing varieties.
Several results given previously by Auslander et al. are extended to this context. Given an …

Let Λ be an artin algebra. It is shown in [4] that the module category modΛ has preprojective
and preinjective partitions and that Λ is of finite representation type if and only if either all …

Throughout t, his paper A will denote an artin algebra and modA the category of finitely
generated right A-modules. Let M be an A-module and denote by addM the fill1 subcategory …

Let A be a small abelian category. For a closed subbifunctor F of Ext A 1 (−,−), Buan has
generalized the construction of Verdier's quotient category to get a relative derived category …

Having initiated the study of graded Artin algebras A in [91, here we initiate the study of their
representation theory. Our point of view is to study graded/i-modules, which we believe to be …

Let A be a basic 1-hereditary artin algebra and modA the category of finitely q: enerated left
A-modules. Our main result is the following theorem. THEOREM A: Let S be a sim~ le non …

In a series of papers additive subbifunctors $ F $ of the bifunctor $\operatorname {Ext} _
{\Lambda}(,) $ are studied in order to establish a relative homology theory for an artin …

Recollements of triangulated categories may be seen as exact sequences of such
categories. Iterated recollements of triangulated categories are analogues of geometric or …