3 papers
math.RA2006
Ideals of cubic algebras and an invariant ring of the Weyl algebra
K. De Naeghel, N. Marconnet
We classify reflexive graded right ideals, up to isomorphism and shift, of generic cubic three dimensional Artin-Schelter regular algebras. We also determine the possible Hilbert f…
math.CO2006
An inequality on broken chessboards
K. De Naeghel, N. Marconnet
For any partition of a positive integer we consider the chess (or draughts) colouring of its associated Ferrers graph. Let b denote the total number of black unit squares, and w th…
math.QA2003
Koszul and Gorenstein properties for homogeneous algebras
Roland Berger, Nicolas Marconnet
Koszul property was generalized to homogeneous algebras of degree N>2 in [5], and related to N-complexes in [7]. We show that if the N-homogeneous algebra A is generalized Koszul,…