… We show that every finite modulated Auslander-Reiten quiver admits … category H,(T) whose
object set is To and whose morphism sets are H,(x. y). Let add H,(T) be the additive category …

… Auslander–Reiten structure of -lat by means of an adjoint pair of functors L ⊢ L− in the homotopy
category … Similarly, we define left minimal morphisms and the left minimal part ar of a. A …

… Generalizing results from [BH], we have that the above family MF of morphisms is an f.
class. Note that when F induces an exact structure on A, then E1 and E2 are automatically …

… class field k , we give a description of its indecomposable lattices and its Auslander-Reiten …
Since R = k[[t]] , the projective cover morphism can be chosen therefore in such a way that it …

… For a class M of morphisms in A-lat, let denote the ideal generated by M. Regarding objects
… identity morphisms, this also applies to object classes ff. Thus [G] consists of the morphisms …

… on Auslander-Reiten sequences in the image category of the … category # in which every
indecomposable object has a local endomorphism ring we may associate its Auslander-Reiten …

… in this paper are the subcategories of the morphism category H ⁢ ( Λ ) of Artin algebra Λ …
Our main purpose in this paper is to study the Auslander–Reiten theory, as a powerful tool in the …

… of triangulated categories via approximations by morphisms … a triangulated category having
Auslander-Reiten triangles by … classical Auslander-Reiten theory of triangulated categories, …

… of irreducible morphisms between complexes in a generalized standard Auslander– Reiten
… We give conditions under which the kernel and the cokernel of irreducible morphisms …

… Definition 2.1 [7] Let C be a preadditive skeletally small category. We say that C has pseudokernels
if for any morphism f : C1 → C0 there exists a morphism g : C2 → C1 such that …