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 …

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 …

Given a non-negative integer n and a complete hereditary cotorsion triple, the notion of
subcategories in an abelian category is introduced. It is proved that a virtually Gorenstein …

An abelian category with arbitrary coproducts and a small projective generator is equivalent
to a module category (Mitchell (1964)[17]). A tilting object in an abelian category is a natural …

We provide additional information concerning the important Matlis category equivalence
between the categories of h-divisible torsion and R-complete torsion-free R-modules over …

We consider an arbitrary Abelian category A and a subcategory T closed under extensions
and direct summands, and characterize those T that are (semi-) special preenveloping in A; …

We prove the following results for the subcategories of an abelian category: 1) The full
subcategory whose objects are kernels of the maps between two covariantly finite …

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 …

In an arbitrary Grothendieck category, we find necessary and sufficient conditions for the
class of FP n-injective objects to be a torsion class. By doing so, we propose a notion of n …

In [H. Krause, O. Solberg, Applications of cotorsion pairs, J. London Math. Soc. 68 (2003)
631–650], the Telescope Conjecture was formulated for the module category ModR of an …