Extriangulated categories axiomatise extension-closed subcategories of triangulated
categories and generalise both exact categories and triangulated categories. This survey …

In this article, we initiate the study of hereditary extriangulated categories. Many important
categories arising in representation theory in connection with various theories of mutation …

Let Λ be an elementary locally bounded linear category over a field with radical squared
zero. We shall show that the bounded derived category D b (Mod b Λ) of finitely supported …

On Sectional Paths in a Category of Complexes of Fixed Size Page 1 Algebr Represent Theor
(2017) 20:289–311 DOI 10.1007/s10468-016-9643-2 On Sectional Paths in a Category of …

We study irreducible morphisms in the bounded derived category of finitely generated
modules over an Artin algebra Λ, denoted Db (Λmod), by means of the underlying category …

Let A be an additive k-category and C≡ m (A) be the category of m-periodic complexes. For
any integer m> 1, we study conditions under which the compression functor F m: C b (A)→ …

By the knitting technique introduced to build the Auslander-Reiten quiver of the category of
complexes of fixed size, it is possible to obtain the Auslander-Reiten triangles in the …

Let A be a finite-dimensional algebra over an algebraically closed field. We study sections in
the Auslander–Reiten quiver of the categories of complexes of fixed size and in the …

Let Λ be a finite-dimensional algebra over an algebraically closed field k. We prove that Db
(Λ) the bounded derived category has tame representation type (Λ is called tame derived), if …

We study irreducible morphisms of complexes. In particular, we show that the irreducible
morphisms having one (finite) irreducible submorphism fall into three canonical forms and …