… of exact categories and triangulated categories. The aim of … of Auslander–Reiten theory for
extriangulated categories. More … (co)stable categories C and C of extriangulated categories (…

… of a 0Auslander extriangulated category and proved there is a well-behaved theory of mutation
for their … Moreover, the following are examples of 0-Auslander extriangulated categories: …

… We show that a locally finite extriangulated category C always … the definition of an
extriangulated category and outline some … -Reiten E -triangles in an extriangulated category and …

… Auslander-Reiten-Serre duality (Corollary 3.6). In Section 4, in an extriangulated category
C , we establish a bijection which relates the poset of right equivalence classes of morphisms …

… categories and triangulated categories. A notion of tilting (resp., cotilting) subcategories in
an extriangulated category … and obtain an Auslander-Reiten correspondence between tilting (…

… extriangulated category. The key notion is a half exact functor from an extriangulated category
to an abelian category… consider exact categories and triangulated categories, respectively. …

… Let A be a subcategory of an extriangulated category C and let X be a strongly functorially …
subfactor category A / X admits a pre-triangulated structure in the sense of Beligiannis-Reiten …

… focus on extension-closed subcategories of extriangulated categories. Let X be an extension…
an Auslander-Reiten triangle in X. We also show that if the extriangulated category admits a …

… We prove that there is a theory of irreducible mutation for maximal rigid objects and subcat…
of hereditary extriangulated categories in this context. We develop a theory of mutation for …

… Let (C , E, s) be an extriangulated category. We show that certain quotient categories of
extriangulated categories are equivalent to module categories by some restriction of functor E, …