A characterization of discrete linearly compact rings by means of a duality
A Criterion for Finite Representation Type.
A Morita type theorem for a sort of quotient categories
We consider the quotient categories of two categories of modules relative to the Serre classes of modules which are bounded as abelian groups and we prove a Morita type theorem for some equivalences between these quotient categories.
A note on functors that vanish on indecomposable modules.
Algebraically compact modules
Algebras with Cycle-Finite Derived Categories.
Algèbres de type de représentation fini
Calcul des satellites et présentations des bimodules à l'aide des carrés exacts
Coalgebras, braidings, and distributive laws.
Coherent Rings and Homologically Finite Subcategories.
Decomposition properties in modules categories
Die primitiven Klassen arithmetischer Ringe.
Direct products of linearly compact primary rings
Explicit cogenerators for the homotopy category of projective modules over a ring
Let be a ring. In two previous articles [12, 14] we studied the homotopy category of projective -modules. We produced a set of generators for this category, proved that the category is -compactly generated for any ring , and showed that it need not always be compactly generated, but is for sufficiently nice . We furthermore analyzed the inclusion and the orthogonal subcategory . And we even showed that the inclusion has a right adjoint; this forces some natural map to be an equivalence...
Functors on locally finitely presented additive categories
Galois coverings of representation-infinite algebras.
Galois extensions as functors of comodules.
Idempotent completion of pretriangulated categories
A pretriangulated category is an additive category with left and right triangulations such that these two triangulations are compatible. In this paper, we first show that the idempotent completion of a left triangulated category admits a unique structure of left triangulated category and dually this is true for a right triangulated category. We then prove that the idempotent completion of a pretriangulated category has a natural structure of pretriangulated category. As an application, we show that...
Motifs de dimension finie
On sait que les groupes de Chow d’une variété projective ne sont pas de type fini, et ne peuvent même être paramétrés par une variété algébrique, en général. Pourtant, S.-I. Kimura et P. O’Sullivan ont conjecturé (indépendamment l’un de l’autre) que les motifs de Chow, définis en termes de correspondances algébriques modulo l’équivalence rationnelle, sont de “dimension finie”au sens où, tout comme les super-fibrés vectoriels, ils sont somme d’un facteur dont une puissance extérieure est nulle et...
On algebras of strongly unbounded representation type.