Περίληψη Σε αυτήν τη διδακτορική διατριβή ελετά ε ο ολογικές διαστάσεις που ε φανίζονται
στη Θεωρία Αναπαραστάσεων Αλγεβρών του Artin. Η βασική ας έρευνα επικεντρώνεται στη …

Recollement situations were introduced by Beilinson, Bernstein and Deligne in the context
of triangulated categories in their seminal paper on perverse sheaves. This is mainly a …

We investigate several homological aspects of recollements of abelian categories. In
particular, we study how various homological invariants and dimensions of the categories …

Nous introduisons et 6tudions une classe de categories additives avec des noyaux et
conoyaux, categories qui sont plus générales que les categories ab6liennes, et pour cette …

Linear categories naturally have several identification relations: isomorphisms, categorical
equivalences and Morita equivalences. In this thesis, we construct the classifying stacks for …

Description: Trivial Extensions of Abelian Categories [electronic resource] : Homological
Algebra of Trivial Extensions of Abelian Categories with Applications to Ring Theory / Skip to …

The paper exhibits three constitutive exact subcategories of Adelman's free abelian category
Ab (A) over a Quillen exact category A, which provide an intrinsic description of Ab (A) and …

Ladders of recollements of abelian categories are introduced, and used to address three
general problems. Ladders of a certain height allow to construct recollements of triangulated …

We study homological properties of contravariantly finite rigid subcategories of an arbitrary
triangulated or abelian category, concentrating at the class of higher cluster tilting …

For an exact category E, we study the Butler's condition “AR= Ex”: the relation of the
Grothendieck group of E is generated by Auslander-Reiten conflations. Under some …