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Comptes Rendus Mathématique
Volume 343, n° 3
pages 161-164 (août 2006)
Doi : 10.1016/j.crma.2006.06.023
Received : 15 Mars 2006 ;  accepted : 6 June 2006
Stabilité de la propriété de Koszul pour les algèbres homogènes vis-à-vis du produit semi-croisé
Stability of the Koszul property for the semi-cross product of homogeneous algebras
 

Antonin Pottier a, b
a École normale supérieure, 45, rue dʼUlm, 75230 Paris cedex 05, France 
b Laboratoire de physique théorique dʼOrsay, université Paris-sud 11, 91405 Orsay cedex, France 

Résumé

Nous étudions la conservation des propriétés de Koszul et de Gorenstein pour le produit semi-croisé des algèbres homogènes. Pour citer cet article : A. Pottier, C. R. Acad. Sci. Paris, Ser. I 343 (2006).

The full text of this article is available in PDF format.
Abstract

We study the stability of Koszul and Gorenstein properties for the semi-cross product of homogeneous algebras. We use the formalism of N -complexes. The proofs are illustrated by the example of the algebra generated by Yang-Baxter relations. To cite this article: A. Pottier, C. R. Acad. Sci. Paris, Ser. I 343 (2006).

The full text of this article is available in PDF format.


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