We study finiteness conditions in Grothendieck categories by introducing the concepts of
objects of type FP n and studying their closure properties with respect to short exact …

Given any additive category C with split idempotents, pseudokernels and pseudocokernels,
we show that a subcategory B is coreflective if, and only if, it is precovering, closed under …

A BRICK VERSION OF A THEOREM OF AUSLANDER Page 1 Nagoya Math. J., 249 (2023),
88–106 DOI 10.1017/nmj.2022.22 A BRICK VERSION OF A THEOREM OF AUSLANDER …

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 show that every join-irreducible torsionfree class in the category of finitely generated
modules over an artinian ring is cogenerated by a single (not necessarily finitely generated) …

Torsion pairs were introduced by Dickson in 1966 as a generalization of the concept of
torsion abelian group to arbitrary abelian categories. Using torsion pairs, we can divide …

Approximation theory is a fundamental tool in order to study the representation theory of a
ring R. Roughly speaking, it consists in determining suitable additive or abelian …

La presente tesi esibisce una classe di t-strutture, ovvero le intermedie restringibili, nella
categoria derivata di un anello commutativo noetheriano, i cui cuorisono derivato-e …

18C35 Accessible and locally presentable categories 18A25 Functor categories, comma
categories 18E10 Abelian categories, Grothendieck categories 18F20 Presheaves and …

Cortés-Izurdiaga, Manuel ; Crivei, Septimiu ; Saorín, Manuel Reflective and coreflective
subcategories. (English) £ ¢ ¡ Zb Page 1 Cortés-Izurdiaga, Manuel; Crivei, Septimiu; Saorín …