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- Laboratoire de Mathématiques Nicolas OresmeFR43 papers
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Showing 2009 · math.RAShow all
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math.RA2009
A description of quasi-duo Z-graded rings
Andre Leroy, Jerzy Matczuk, Edmund R. Puczylowski
A description of right (left) quasi-duo Z-graded rings is given. It shows, in particular, that a strongly Z-graded ring is left quasi-duo if and only if it is right quasi-duo. This…
math.RA2009
The operads of planar forests are Koszul
Loïc Foissy
We describe the Koszul dual of two quadratic operads on planar forests introduced to study the infinitesimal Hopf algebra of planar rooted trees and prove that these operads are Ko…
math.RA2009
Combinatorics and N-Koszul algebras
Roland Berger
The numerical Hilbert series combinatorics and the comodule Hilbert series combinatorics are introduced, and some applications are presented, including the MacMahon Master Theorem.