La condition «intégralement clos» dans quelques structures algébriques
Ladder functors with an application to representation-finite Artinian rings.
Lattices of orthogonal theories
Laura algebras and quasi-directed components
Using a notion of distance between indecomposable modules we deduce new characterizations of laura algebras and quasi-directed Auslander-Reiten components. Afterwards, we investigate the infinite radical of Artin algebras and show that there exist infinitely many non-directing modules between two indecomposable modules X and Y if . We draw as inference that a convex component is quasi-directed if and only if it is almost directed.
Le monoïde d'un ordre maximal. Cas non noethérien
Left global dimensions and inverse polynomial modules.
Left ideals in 1-primitive near-rings.
Left sections and the left part of an artin algebra
We define a notion of left section in an Auslander-Reiten component, by weakening one of the axioms for sections. We derive a generalisation of the Liu-Skowroński criterion for tilted algebras, then apply our results to describe the Auslander-Reiten components lying in the left part of an artin algebra.
Left-right projective bimodules and stable equivalences of Morita type
We study a connection between left-right projective bimodules and stable equivalences of Morita type for finite-dimensional associative algebras over a field. Some properties of the category of all finite-dimensional left-right projective bimodules for self-injective algebras are also given.
Left-sided quasi-invertible bimodules over Nakayama algebras
Bimodules over triangular Nakayama algebras that give stable equivalences of Morita type are studied here. As a consequence one obtains that every stable equivalence of Morita type between triangular Nakayama algebras is a Morita equivalence.
Lengths of Submodule Chains Versus Krull Dimension in Non-Noetherian Modules.
Limits of tilting modules
We study the problem of when a direct limit of tilting modules is still a tilting module.
Linear right ideal nearrings.
Linearly compact chain rings.
Linearly compact rings and selfcogenerators
Linearly compact rings and strongly quasi-injective modules
Local cohomology in classical rings.
The aim of this paper is to establish the close connection between prime ideals and torsion theories in a non necessarily commutative noetherian ring. We introduce a new definition of support of a module and characterize some kinds of torsion theories in terms of prime ideals. Using the machinery introduced before, we prove a version of the Mayer-Vietoris Theorem for local cohomology and establish a relationship between the classical dimension and the vanishing of the groups of local cohomology...
Localization in Prime Noetherian p.i. Rings.
Localizations in Categories of Modules. III.
Locally compact Baer rings.