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 R be a small preadditive category, viewed as a “ring with several objects.” A right R-
module is an additive functor from Rop to the category Ab of abelian groups. We show that …

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 …

It is a result of Gabriel that hereditary torsion pairs in categories of modules are in bijection
with certain filters of ideals of the base ring, called Gabriel filters or Gabriel topologies. A …

Recently, Rim and Teply, using the notion of $\tau $-exact modules, found a necessary
condition for the existence of $\tau $-torsionfree covers with respect to a given hereditary …

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 and B be two rings, M be a left B, right A bimodule and be the formal triangular matrix
ring. It is known that the category of right T-modules is equivalent to the category Ω of triples …

Let R be a commutative noetherian ring. Denote by mod R the category of finitely generated
R-modules. In the present paper, we first provide various sufficient (and necessary) …

We define the symmetric Auslander category As (R) to consist of complexes of projective
modules whose left-and right-tails are equal to the left-and right-tails of totally acyclic …

In the papers of Nakaoka, he introduced the notion of hearts of (twin) cotorsion pairs on
triangulated categories and showed that they have structures of (semi-) abelian categories …