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 …

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) …

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 A be an Artin algebra. A pair (C, T) of A-modules is tilting provided that C and T are
(finitely generated) self-orthogonal, T∈ addˆAC and C∈ adďAT. Particularly, T is a tilting …

Let A be an artin algebra over a commutative artin ring R and mod A be the category of
finitely generated right A-modules. A cycle in mod A is a sequence of non-zero non …

Let A be an artin algebra. We denote by A-mod the category of finitely generated left A-
modules, by Ta the Auslander-Reiten quiver of A and by DTr the Auslander-Reiten operator …

Let R be an artin algebra and C an additive subcategory of mod (R). We construct a t-
structure on the homotopy category K−(C) and argue that its heart HC is a natural domain for …

with Only Preprojective Modules Page 1 JOURNAL OF ALGEBRA 157, 472–488 (1993)
Components of Auslander–Reiten Ouivers with Only Preprojective Modules FLÁVIO ULHOA …

MODULES DETERMINED BY THEIR TOPS AND SOCLES Page 1 proceedings of the
american mathematical society Volume %. Number 1. lanuary 19H6 MODULES DETERMINED …

We develop an Auslander-Reiten theory for triangulated categories which is based on
Brown's representability theorem. In a fundamental article [3], Auslander and Reiten …