… is the category of abelian groups. This is an abelian category where for φ a morphism in Mod
… Our category C is Aapproximating and therefore do have pseudo-kernels because if f : A → …

… Throughout this paper modA denotes the category of finitely generated A-modules over an
… This study E41 led to right and left almost split morphisms as well as almost split sequences, …

… morphisms between modules in Auslander–Reiten … morphism is that the kernel of the
irreducible morphism does not lie in the infinite power of the radical of the module category, when…

… Then we have the equivalence DTrL:Lp(A)~L~(A) where L~(A) is the category LI(A ) modulo
morphisms factoring through cgJlA-injective modules. For ease of reference we state the …

… Auslander exact categories, and we show that mo d adm ( − ) gives an equivalence onto the
2-category of Auslander exact categories… be a category and let Σ be a class of morphisms of …

… morphisms α, β determine all the irreducible morphisms from A and those ending at C.
The theory of Auslander–Reiten … abelian categories in [3] and to the study of Auslander–Reiten …

… The proof we give is inspired by that of Auslander and Reiten; however, since regular
morphisms may not be isomorphisms or, for example, monomorphisms may not be kernels in the …

… The categories we consider are small n-abelian k-categories (see Definition 2.2).
Auslander–Reiten theory was introduced in a series of papers in 1970s (see for example [7–10, …

… morphism f: M-… Auslander-Reiten quiver has been determined by Reiten [31]. This is the
case of a block of finite representation type, the quiver has only one component and its tree class …

… (B) combinatorial data which describe the homomorphisms between them? We will describe
… data given by the Auslander-Reiten quiver of the category. The categories of type subΛ P …