Kostant's Problem, Goldie Rank and the Gelfand-Kirillov Conjecture.
Koszul duality for N-Koszul algebras
The correspondence between the category of modules over a graded algebra and the category of graded modules over its Yoneda algebra was studied in [8] by means of algebras; this relation is very well understood for Koszul algebras (see for example [5],[6]). It is of interest to look for cases such that there exists a duality generalizing the Koszul situation. In this paper we will study N-Koszul algebras [1], [7], [9] for which such a duality exists.
Krull-Gabriel dimension and Cantor-Bendixson rank of 1-domestic string algebras
We prove that the Krull-Gabriel dimension of the category of modules over any 1-domestic non-degenerate string algebra is 3.
Kulikov's criterion for modules.
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