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 …

Introduction. The study of homologically finite subcategories has turned out to be important
in several contexts, especially in the representation theory of artin algebras. In this paper we …

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 …

Tilting theory is a central topic in the representation theory of algebras and related areas, as
illustrated by the diverse contributions to this volume. One of the important aspects has been …

In this paper we show that how the representation theory of subcategories (of the category of
modules over an Artin algebra) can be connected to the representation theory of all modules …

Let A be an artin algebra. We are interested in studying the representation theory of A, thus
the category mod A of finitely generated right A-modules. For this purpose, we fix a full …

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) …

In the study of standardly stratified algebras and stratifying systems, we find an object which
is either a tilting module or one whose properties strongly remind us of a tilting module. This …

In Corollary 4.2 we showed that for subcategories C of mod II closed under extensions of the
form C= Sub M there are only a finite number of nonisomorphic indecomposable objects in …

Tilting modules occur in a variety of contexts and we are fortunate to have a unifying
language with which to describe them. This is provided by the language of quasi-hereditary …