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

Published online by Cambridge University Press:  20 November 2018

José J. M. Soto*
Affiliation:
Departamento de Álgebra Facultad de Matemáticas Universidad de Santiago de Compostela E-15771 Santiago de Compostela Espagne
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Abstract

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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

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 2000

References

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