Let h be an Artin algebra. The. I-modules\vliich we consider arc always left nlodules of finite
length. The category of (finite length):\-modules is denoted by, I-mod. A module,\, M is called …

½9, 12 Þ In particular, for derived equivalent selfinjective artin algebras A, B there exists an
equivalence of triangulated categories mod A ffi mod B. Furthermore, if A, B are derived …

We classify thick subcategories of the bounded derived category of a hereditary abelian
category A in terms of subcategories of A. The proof can be applied to characterize the …

Extriangulated category was introduced by H. Nakaoka and Y. Palu to give a unification of
properties in exact categories and triangulated categories. A notion of tilting (resp., cotilting) …

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

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 A be an artin algebra and mod A the category of finitely generated A-modules. If X is in
mod/i let (, X) denote the contravariant functor Hom (, X) from mod A to abelian groups. If F is …

Throughout this paper we assume that all modules are finitely generated over an artin
algebra L!. We denote by mod/i the category of all finitely generated/i-modules. The notions …

In a series of papers additive subbifunctors $ F $ of the bifunctor $\operatorname {Ext} _
{\Lambda}(,) $ are studied in order to establish a relative homology theory for an artin …

Module categories with infinite radical square zero are of finite type Page 1
COMMUNICATIONS IN ALGEBRA, 22(1 I), 451 1-4517 (1994) MODULE CATEGORIES …