Konstruktion endlicher graduierter assoziativer Algebren
Konstruktionen globaler Moduln und Anwendungen.
Kostant's Problem, Goldie Rank and the Gelfand-Kirillov Conjecture.
Koszul and quasi-Koszul algebras obtained by tilting
Given a finite-dimensional algebra, we present sufficient conditions on the projective presentation of the algebra modulo its radical for a tilted algebra to be a Koszul algebra and for the endomorphism ring of a tilting module to be a quasi-Koszul algebra. One condition we impose is that the algebra has global dimension no greater than 2. One of the main techniques is studying maps between the direct summands of the tilting module. Some applications are given. We also show that a Brenner-Butler...
Koszul DG-algebras Arising from Configuration Spaces.
Koszul duality and equivariant cohomology.
Koszul duality and semisimplicity of Frobenius
A fundamental result of Beĭlinson–Ginzburg–Soergel states that on flag varieties and related spaces, a certain modified version of the category of -adic perverse sheaves exhibits a phenomenon known as Koszul duality. The modification essentially consists of discarding objects whose stalks carry a nonsemisimple action of Frobenius. In this paper, we prove that a number of common sheaf functors (various pull-backs and push-forwards) induce corresponding functors on the modified category or its triangulated...
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.
Koszul equivalences in -algebras.
Krull Dimension and Global Dimension of Simple Ore-Extensions.
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.
Kummer type system of congruences and bases of Stickelberger subideals
K-unirationality of conic bundles, the Kneser-Tits conjecture for spinor groups and central simple algebras
Kurosh-Amitsur radical theory for groups.
Kurosh-Amitsur right Jacobson radical of type 0 for right near-rings.
La condition «intégralement clos» dans quelques structures algébriques
La condition « intégralement clos », IV, modules de type fini sur un ordre maximal
La dimension de Gel'fand-Kirillov
La filtrazione di Gabriel - II