Hostname: page-component-cd9895bd7-dk4vv Total loading time: 0 Render date: 2024-12-27T14:54:06.133Z Has data issue: false hasContentIssue false
  • English
  • Français

Sur l’annulation de certains modules de cohomologie d’André-Quillen

Published online by Cambridge University Press:  20 November 2018

José J. M. Soto
José J. M. Soto*
Affiliation:
Departamento de Álgebra Facultad de Matemáticas Universidad de Santiago de Compostela E-15771 Santiago de Compostela Espagne
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Soient $A$ un anneau noethérien, $B$ un anneau régulier essentiellement de type fini sur $A$. Si la cohomologie d’André-Quillen ${{H}^{q}}\left( A,\,B,\,B \right)\,=\,0$ pour tout $q\,\ge \,2$ alors $A$ est un anneau régulier.

Keywords

13D03
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 43 , Issue 1 , 01 March 2000 , pp. 126 - 128
Copyright
Copyright © Canadian Mathematical Society 2000

References

[1] André, M., Homologie des Algèbres Commutatives. Springer, 1974.Google Scholar
[2] Avramov, L. L., Local rings of finite simplicial dimension. Bull. Amer.Math. Soc. 10 (1984), 289–291.Google Scholar
[3] Bourbaki, N., Algèbre Commutative. Chapitre 3. Hermann, 1967.Google Scholar
[4] Herzog, J., Homological properties of the module of differentials. Atas da 6a Escola de Algebra, 33–64. IMPA, Rio de Janeiro, 1980.Google Scholar
[5] Quillen, D., On the (co-)homology of commutative rings. Proc. Sympos. Pure Math. 17 (1970), 65–87.Google Scholar