Module Theory, Homological Algebra, Category Theory.
In particular:
- t-structures in triangulated categories.
- Model structures.
- Localizations, equivalences and recollements in triangulated categories.
- Abelianization of derived categories of rings.
- Smashing and definable subcategories in derived categories.
- Homological epimorphisms of rings,
- Functor categories.
- Categorie di funtori.
- Tilting and Cotilting Theory.
- Cotorsion pairs.
- Mittag-Leffler conditions on modules.
- Derived functors of the inverse limit functor.
- Multiplicative Theory of ideals and modules over classes of commutative rings.