If H is a hereditary abelian category with tilting object, then it is shown that H is derived
equivalent to a module category over a hereditary artin algebra provided H contains a …

An artin algebra A is said to be CM-finite if there are only finitely many, up to isomorphisms,
indecomposable finitely generated Gorenstein-projective A-modules. We prove that for a …

Let A be an artin algebra. By mod-A we denote the category of all finitely generated right A-
modules. A pair (I, P) of full subcategories in mod-A is called Ext-orthogonal if ExtA (P, I)= 0 …

Let A be an artin algebra over a commutative artin ring R, mod A be the category of finitely
generated right A-modules, and rad∞(modA) be the infinite power of the Jacobson radical …

Given an additive category C and an integer n⩾ 2. We form a new additive category C [ϵ] n
consisting of objects X in C equipped with an endomorphism ϵ X satisfying ϵ X n= 0. First …

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 …

Let R be an artin algebra and C an additive subcategory of mod (R). We construct a t-
structure on the homotopy category K−(C) and argue that its heart HC is a natural domain for …

This paper, the second in a series of three papers, studying the use of relative homological
algebra in the representation theory of artin algebras, is devoted to developing a general …

For an abelian category A, we define the category PEx (A) of pullback diagrams of short
exact sequences in A, as a subcategory of the functor category Fun (Δ, A) for a fixed diagram …

The main objective of this paper is to study the relative derived categories from various
points of view. Let A be an abelian category and C be a contravariantly finite subcategory of …