Let $\Lambda $ be an artin algebra. In his Philadelphia Notes, M. Auslander showed that
any homomorphism between $\Lambda $-modules is right determined by a $\Lambda …

Abstract Let (C, E, s) be an Ext-finite, Krull-Schmidt and k-linear extriangulated category with
ka commutative artinian ring. We define an additive subcategory C r (respectively, C l) of C …

The theory of morphisms being determined by objects was originally investigated by
Auslander, and can be seen as the culmination part of Auslander-Reiten theory. This theory …

It is a well established fact, that any projective algebraic variety is a moduli space of
representations over some finite dimensional algebra. This algebra can be chosen in …

We describe a procedure for constructing morphisms in additive categories, combining
Auslander's concept of a morphism determined by an object with the existence of flat covers …

Abstract Let (R, m, k)(R, m, k) be a complete Cohen–Macaulay local ring. In this paper, we
assign a numerical invariant, for any balanced big Cohen–Macaulay module, called hh ̲ …

We prove that a Hom-finite additive category having determined morphisms on both sides is
a dualizing variety. This complements a result by Krause. We prove that in a Hom-finite …

Let (𝒞, 𝔼, 𝔰) be an Ext-finite, Krull–Schmidt and k-linear n-exangulated category with ka
commutative artinian ring. In this note, we prove that 𝒞 has Auslander–Reiten–Serre duality …

Let k be an algebraically closed field and Λ a finite-dimensional k-algebra. Given a Λ-
module M, the set G e (M) of all submodules of M with dimension vector e is called a quiver …

Abstract Let (C, E, s) be an Ext-finite, Krull-Schmidt and k-linear n-exangulated category with
ka commutative artinian ring. In this note, we define two additive subcategories C r and C l of …