A summary of the key aspects of ideal approximation theory is given, beginning with a
review of the motivating results and arguments from the classical approximation theory. The …

We classify bounded t-structures on the category of perfect complexes over a commutative,
Noetherian ring of finite Krull dimension, extending a result of Alonso Tarrio, Jeremias Lopez …

Given a cartesian closed category $\mathcal {V} $, we introduce an internal category of
elements $\int_\mathcal {C} F $ associated to a $\mathcal {V} $-functor $ F\colon\mathcal …

This thesis makes concrete some of the connections between the functor-categorical and
model-theoretic approaches to the study of modules over a ring. We show that the functor …

Let G be a Grothendieck category, let t=(T, F) be a torsion pair in G and let (U t, W t) be the
associated Happel–Reiten–Smalø t-structure in the derived category D (G). We prove that …

We show that the relative Auslander-Buchweitz context on a triangulated category $\T $
coincides with the notion of co-$ t $-structure on certain triangulated subcategory of $\T …

We use the concept of a regular object with respect to another object in an arbitrary
category, in order to obtain the transfer of regularity in the sense of Zelmanowitz between the …

[eng] This thesis contains new results about the representability of cohomological functors
defined on a subcategory of compact objects (with respect to a fixed cardinal) of a well …

Let R be any ring with identity. We show that the homotopy category of all acyclic chain
complexes of pure-projective R-modules is a compactly generated triangulated category …

It is proved that, for a left hereditary ring, an arbitrary left module has a representation in the
form of the direct sum of a stable left module and indecomposable projective left modules (if …