Let A be an Artin algebra. As we know, the construction of the well-known Auslander-Reiten
sequence is based on the natural (A, A)-bimodule A and the induced transpose, where the …

The lattice of torsionfree precover classes Page 426 Models, Modules and Abelian Groups,
415–419© de Gruyter 2008 The lattice of torsionfree precover classes Ladislav Bican Abstract …

Recollements of triangulated categories may be seen as exact sequences of such
categories. Iterated recollements of triangulated categories are analogues of geometric or …

Firstly we provide a technique to move torsion pairs in abelian categories via adjoint functors
and in particular through Giraud subcategories. We apply this point in order to develop a …

Let A be an Artin algebra. We denote by mod A the category of finitely generated left A-
modules. For XE mod A we denote by pdAX the projective dimension of X. For n CN we …

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 …

Let k be an algebraically closed field and H a connected abelian k-category which is
hereditary, that is Ext 2 (,) vanishes on H. Assume also that Hom (X, Y) and Ext1 (X, Y) are …

Let Λ be an Artin algebra and be an object in, the morphism category of Λ. We will describe
the Auslander–Reiten translate of, ie, as an object in. It is shown that, even though there may …

Recently much progress has been made in the study of singular spaces [BBD]. In addition to
the use of analytic sheaves of differential operators, an essential feature has been the role …

Let A be a small abelian category. For a closed subbifunctor F of Ext A 1 (−,−), Buan has
generalized the construction of Verdier's quotient category to get a relative derived category …