\My purpose in these lectures is not to present new results, but rather to give a different
perspective on some older results as illustrations of the interplay between functorial ideas …

Let Λ be an artin algebra. The aim of this paper is to outline a strong relationship between
the Gabriel–Roiter inclusions and the Auslander–Reiten theory. If X is a Gabriel–Roiter …

Throughout this paper A denotes an artin algebra over a commutative artin ring R; ie, A is an
R-algebra which is finitely generated as an R-module. All A-modules are assumed to …

In Section l we recall some of the features of Frobenius categories in the setup we need. In
particular, we give an Interpretation of the triangles in a Frobenius category in term of exact …

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 …

At the beginning of my work, I was helped by many hours of conver-sation with María Inés
Platzeck. Sverre Smalø, Dan Zacharia, Ron Irving, Carola Andujo, and many others also …

In this paper, we apply intermediate extension functors associated to certain recollements of
functor categories to study relative Auslander algebras. In particular, we study the existence …

For an artin algebra A, denote by mod A the category of finitely generated left A-modules.
For a subcategory V of mod/i closed under direct summands and direct sums, denote by …

Let $ A,\; B $ be artinian rings and let $ _A {M_B} $ be an $(AB) $-bimodule which is a
finitely generated left $ A $-module and a finitely generated right $ B $-module. A right $ _A …

Tilting modules and Auslander’s Gorenstein property Page 1 Journal of Algebra 275 (2004)
3–39 www.elsevier.com/locate/jalgebra Tilting modules and Auslander’s Gorenstein property …