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 …

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 A be an artin algebra and modA the category of finitely generated A-modules. Unless
stated to the contrary, by a subcategory C of a category we mean a full subcategory of an …

Let Λ be an artin algebra and C be a functorially finite subcategory of mod Λ which contains
Λ or DΛ. We use the concept of the infinite radical of C and show that C has an additive …

We study the role of the Serre functor in the theory of derived equivalences. Let A be an
abelian category and let (U, V) be a t-structure on the bounded derived category D b A with …

248 BAER equivalence of the conditions" A is tame"," P is left noetherian" and" R is left
noetherian", P and R denoting the categories of all preprojective and regular modules …

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

If $\Lambda $ is an artin algebra there is a partition of $\operatorname {ind}\Lambda $, the
category of indecomposable finitely generated $\Lambda $-modules, $\operatorname …

Let modA be the category of finitely generated right A-modules over an artin algebra⋀, and F
be an additive subfunctor of. Let P (F) denote the full sucategory of A with objects the F …

Let $\Lambda $ be an Artin algebra and let $ e $ be an idempotent in $\Lambda $. We study
certain functors which preserve the singularity categories. Suppose $\operatorname …