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

  Published:2000-03-01
 Printed: Mar 2000
  • José J. M. Soto
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Abstract

Soient $A$ un anneau noeth\'erien, $B$ un anneau r\'egulier essentiellement de type fini sur $A$. Si la cohomologie d'Andr\'e-Quillen $H^q (A,B,B) = 0$ pour tout $q \geq 2$ alors $A$ est un anneau r\'egulier.
MSC Classifications: 13D03 show english descriptions (Co)homology of commutative rings and algebras (e.g., Hochschild, Andre-Quillen, cyclic, dihedral, etc.) 13D03 - (Co)homology of commutative rings and algebras (e.g., Hochschild, Andre-Quillen, cyclic, dihedral, etc.)
 

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