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1. CMB 2003 (vol 46 pp. 304)
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Localization of the Hasse-Schmidt Algebra The behaviour of the Hasse-Schmidt algebra of higher derivations under
localization is studied using Andr\'e cohomology. Elementary
techniques are used to describe the Hasse-Schmidt derivations on
certain monomial rings in the nonmodular case. The localization
conjecture is then verified for all monomial rings.
Categories:13D03, 13N10 |
2. CMB 2000 (vol 43 pp. 126)
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Sur l'annulation de certains modules de cohomologie d'André-Quillen 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.
Category:13D03 |