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 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 …

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 …

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 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 …

In the category of finitely generated modules over an artinian ring, we classify all the abelian
exact subcategories closed under predecessors or, equivalently, all the split torsion pairs …

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 …

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 …

Let C be an abelian category. Then for any object C in C,~ xt'(C,) is defined as a covariant
functor from C to Ab such that for each X in C EX~'(C, X) is an additive group consisting 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 …