We study the notion (for categories of modules) dual to that of torsion radical and its
connections with projective modules. Torsion radicals in categories of modules have been …

We show that an abelian category can be exactly, fully faithfully embedded into a module
category as the right perpendicular subcategory to a set of modules or module morphisms if …

Let R be a commutative noetherian ring and denote by\({{\,\mathrm {\textsf {mod}}\,}} R\) the
category of finitely generated R-modules. In this paper, we study KE-closed subcategories …

We introduce the notion of torsion-simple objects in an abelian category: these are the
objects which are always either torsion or torsion-free with respect to any torsion pair. We …

The notion of an almost-precover as a generalization of a-precover is introduced. Among
other results it is shown that if is any hereditary torsion theory for the category R-mod, then …

We investigate parametrizations of compactly generated t-structures, or more generally, t-
structures with a definable coaisle, in the unbounded derived category $\mathrm …

A right R-module M with endomorphism ring S is called a costar module if it induces the
duality between the class of MR-torsionless right R-modules X with Hom R (X, MR) finitely …

Given an associative ring R and a torsion pair (T, F) in the category of right R-modules, the
heartH (T, F) associated with (T, F) is an abelian subcategory of the bounded derived …

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 …

The aim of this paper is to unify classification theories of torsion classes of finite dimensional
algebras and commutative Noetherian rings. For a commutative Noetherian ring R and a …