We know that the model theory of modules leads to a way of obtaining definable categories
of modules over a ring R as the kernels of certain functors (RM od) op→ A b rather than of …

Using the Morita-type embedding, we show that any exact category with enough projectives
has a realization as a (pre) resolving subcategory of a module category. When the exact …

We clarify the relation between the subcategory D hf b (A) of homological finite objects in D b
(A) and the subcategory K b (P) of perfect complexes in D b (A), by giving two classes of …

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 …

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 A be an Artin algebra and modA be the category of finitely generated right A-modules.
We prove that an additive full subcategory C of modA closed under predecessors is …

Let A be an artin algebra and mod A the category of finitely generated A-modules. If X is in
mod/i let (, X) denote the contravariant functor Hom (, X) from mod A to abelian groups. If F is …

Introduction. The study of homologically finite subcategories has turned out to be important
in several contexts, especially in the representation theory of artin algebras. In this paper we …

We investigate the (separated) monomorphism category $\operatorname
{mono}(Q,\Lambda) $ of a quiver over an Artin algebra $\Lambda $. We show that there …

ON CONTRAVARIANTLY FINITE SUBCATEGORIES Claus Michael Ringel Abstract. Let A be an
artin algebra. Let / 1, /2 be contravari- ant Page 1 ON CONTRAVARIANTLY FINITE …