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ASCENT and DESCENT OF GORENSTEIN PROPERTY

Published online by Cambridge University Press:  15 January 2004

ANTONIO GARCÍA R.  and
JOSÉ J. M. SOTO
ANTONIO GARCÍA R.
Affiliation:
Departamento de Álgebra, Facultad de Matemáticas, Universidad de Santiago de Compostela, E15782 Santiago de Compostela, Spain e-mail: [email protected]
JOSÉ J. M. SOTO
Affiliation:
Departamento de Álgebra, Facultad de Matemáticas, Universidad de Santiago de Compostela, E15782 Santiago de Compostela, Spain e-mail: [email protected]
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Abstract

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Let $A$ be a commutative noetherian local ring, $I$ an ideal of $A$, and $B\,{=}\,A/I$. Assume that the André-Quillen homology functors $H_n (A,B,-) = 0$ for all $n \,{\ge}\, 3$. Then $A$ is Gorenstein if and only if $B$ is.

Keywords

13H1013D03
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 46 , Issue 1 , January 2004 , pp. 205 - 210
Copyright
2004 Glasgow Mathematical Journal Trust