Access to the text (HTML) Access to the text (HTML)
PDF Access to the PDF text

Access to the full text of this article requires a subscription.
  • If you are a subscriber, please sign in 'My Account' at the top right of the screen.

  • If you want to subscribe to this journal, see our rates

  • You can purchase this item in Pay Per ViewPay per View - FAQ : 30,00 € Taxes included to order
    Pages Iconography Videos Other
    6 0 0 0

Comptes Rendus Mathématique
Volume 341, n° 12
pages 719-724 (décembre 2005)
Doi : 10.1016/j.crma.2005.10.017
Received : 24 August 2005 ;  accepted : 11 October 2005
Graded algebras and multilinear forms
Algèbres graduées et formes multilinéaires

Michel Dubois-Violette
Laboratoire de physique théorique, UMR 8627, université Paris XI, bâtiment 210, 91405 Orsay cedex, France 


We give a description of the connected graded algebras which are finitely generated and presented of global dimension 2 or 3 and which are Gorenstein. These algebras are constructed from multilinear forms. We generalize the construction by associating homogeneous algebras to multilinear forms. The homogeneous algebras which are Koszul of finite global dimension and which are Gorenstein of this type. To cite this article: M. Dubois-Violette, C. R. Acad. Sci. Paris, Ser. I 341 (2005).

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

Nous donnons une description des algèbres graduées connexes de présentation finie et de dimension globale 2 ou 3 qui sont Gorenstein. Ces algèbres sont construites à partir de formes multilinéaires. Cette construction est généralisée en associant des algèbres homogènes aux formes multilinéaires. Sont de ce type les algèbres homogènes Koszul-Gorenstein de dimension globale finie. Pour citer cet article : M. Dubois-Violette, C. R. Acad. Sci. Paris, Ser. I 341 (2005).

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

© 2005  Académie des sciences@@#104156@@
EM-CONSULTE.COM is registrered at the CNIL, déclaration n° 1286925.
As per the Law relating to information storage and personal integrity, you have the right to oppose (art 26 of that law), access (art 34 of that law) and rectify (art 36 of that law) your personal data. You may thus request that your data, should it be inaccurate, incomplete, unclear, outdated, not be used or stored, be corrected, clarified, updated or deleted.
Personal information regarding our website's visitors, including their identity, is confidential.
The owners of this website hereby guarantee to respect the legal confidentiality conditions, applicable in France, and not to disclose this data to third parties.
Article Outline
You can move this window by clicking on the headline