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 …

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 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 Λ be an artin algebra, that is, an artin ring that is a finitely generated module over its
center C which is also an artin ring. We denote by mod Λ the category of finitely generated …

We revisit a construction of wide subcategories going back to work of Ingalls and Thomas.
To a torsion pair in the category $ R\operatorname {-}\operatorname {mod} $ of finitely …

We characterize the finiteness of the representation type of an artin algebra in terms of the
behavior of the projective covers and the injective envelopes of the simple modules with …

In this paper, is an artin algebra over a commutative artinian ring R, the radical of is denoted
by r, and mod is the category of finitely wx generated left-modules. The definitions, notation …

We solve a long standing open problem concerning the structure of finite cycles in the
category mod A of finitely generated modules over an arbitrary artin algebra A, that is, the …

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

Let A be an artin algebra over a commutative artin ring R and mod A be the category of
finitely generated right A-modules. A cycle in mod A is a sequence of non-zero non …