Koszul equivalences in -algebras.
Kummer type system of congruences and bases of Stickelberger subideals
La localisation dans les anneaux non commutatifs
Lattices of orthogonal theories
Left Derivations on skew Polynomial rings
Les problèmes les plus simples de 'l'algèbre quasi-commutative' en connexion avec la théorie des valeurs caractéristiques des opérateurs différentiels
Lie solvable groups algebras of derived length three.
Let K be a field of characteristic p > 2 and let G be a group. Necessary and sufficient conditions are obtained so that the group algebra KG is strongly Lie solvable of derived length at most 3. It is also shown that these conditions are equivalent to KG Lie solvable of derived length 3 in characteristic p ≥ 7.
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...
Local structure of the p-Blocks of ...n.
Localisations premières
Localization of cliques and model theory. (Localisation des cliques et théorie des modèles.)
Locally free modules
Logarithmic Descriptions of K1' (Zp G) and Classgroups of Symmetric Groups.
Logics that are generated by idempotents.
Lower central series, augmentation quotients and homology of groups.
-density, -adic completion and -subgeneration
Matrices carrées sur l'algèbre de Weyl
Matrices over upper triangular bimodules and Δ-filtered modules over quasi-hereditary algebras
Let Λ be a directed finite-dimensional algebra over a field k, and let B be an upper triangular bimodule over Λ. Then we show that the category of B-matrices mat B admits a projective generator P whose endomorphism algebra End P is quasi-hereditary. If A denotes the opposite algebra of End P, then the functor Hom(P,-) induces an equivalence between mat B and the category ℱ(Δ) of Δ-filtered A-modules. Moreover, any quasi-hereditary algebra whose category of Δ-filtered modules is equivalent to mat...
Matrix rings with summand intersection property
A ring has right SIP (SSP) if the intersection (sum) of two direct summands of is also a direct summand. We show that the right SIP (SSP) is the Morita invariant property. We also prove that the trivial extension of by has SIP if and only if has SIP and for every idempotent in . Moreover, we give necessary and sufficient conditions for the generalized upper triangular matrix rings to have SIP.