While homological algebra has been used extensively in the representation theory of artin
algebras, relative homological algebra has been used only sporadically. It is our hope that …

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 …

This paper, the last of a series of three papers studying the uses of relative homological
algebra in the representation theory of artin algebras, is devoted to giving a rather explicit …

Let A be an artin algebra and modA the category of finitely generated A-modules. Unless
stated to the contrary, by a subcategory C of a category we mean a full subcategory of an …

Let $\Lambda $ be an artin algebra or, more generally, a locally bounded associative
algebra, and $\mathcal {S}(\Lambda) $ the category of all embeddings $(A\subseteq B) …

Introduction. Let A be an artin algebra and mod A the category of finitely generated (left) A-
modules. In this paper we shall develop sane techniques for constructing almost split …

In their study of the representation theory of finite-dimensional tensor algebras Dlab and
Ringet [Ill described certain modules which they called preprojective and preinjective …

Let $\Lambda $ be an artin algebra $\mathfrak {A} $ and a two-sided ideal of $\Lambda $.
Then $\mathfrak {A} $ is the trace of a projective $\Lambda $-module $ P $ in $\Lambda …

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 …

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 …