We introduce weakly sectional paths in the Auslander-Reiten quiver of an artin algebra,
which are generalizations of sectional paths as well as pre-sectional paths of Liu [10]. We …

For a nice-enough category $\mathcal {C} $, we construct both the morphism category ${\rm
H}(\mathcal {C}) $ of $\mathcal {C} $ and the category ${\rm mod}\mbox {-}\mathcal {C} $ of …

Abstract For an Artin Algebra Λ of finite representation type, the category Λ-mod, considered
as a ring with several objects, has Krull dimension zero. Contrary, for a wild hereditary Artin …

We consider A to be an artin algebra. We characterize the irreducible morphisms of left
degree two. We study the non-zero composition of irreducible morphisms in almost pre …

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 …

We generalize Brenner and Butler's Theorem as well as Happel's Theorem on the
equivalences induced by a finitely generated tilting module over Artin algebras, to the case …

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 study the relationship between representation theoretic properties and homological
properties of orders. We show that there is a close relationship among Auslander orders, τ …