EXACT SUBCATEGORIES OF TRIANGULATED CATEGORIES Introduction The heart of a t-structure
on a triangulated category C is a full ab Page 1 EXACT SUBCATEGORIES OF …

We introduce the concept of an n-minimal Auslander–Gorenstein category and n-precluster
tilting subcategory. With this, we create an analog of the higher Auslander–Solberg …

We show that the abelian category mod-X of coherent functors over a contravariantly finite
rigid subcategory X in a triangulated category T is equivalent to the Gabriel–Zisman …

In this work we introduce notions in Auslander-Buchweitz theory and cotorsion theory in
extriangulated categories which extend the given ones for abelian categories. Although …

We show that for a given exact category, there exists a bijection between semibricks
(pairwise Hom-orthogonal set of bricks) and length wide subcategories (exact extension …

Derived equivalences and t-structures are closely related. We use realisation functors
associated to t-structures in triangulated categories to establish a derived Morita theory for …

arXiv:1707.01646v2 [math.RT] 23 Mar 2020 Page 1 arXiv:1707.01646v2 [math.RT] 23 Mar
2020 AUSLANDER’S DEFECT FORMULA AND A COMMUTATIVE TRIANGLE IN AN EXACT …

We give an elementary introduction to the theory of triangulated categories covering their
axioms, homological algebra in triangulated categories, triangulated subcategories, and …

We introduce the concept of a pseudo-cluster-tilting subcategory from the viewpoint of the
fact that the quotient of an exact category by a cluster-tilting subcategory is an abelian …

We introduce the basic elements of the theory of parametrized $\infty $-categories and
functors between them. These notions are defined as suitable fibrations of $\infty …