On the Noether exponent

Volume 81 / 2003

Anna Stasica Annales Polonici Mathematici 81 (2003), 123-129 MSC: 13C14, 14R99. DOI: 10.4064/ap81-2-3

Abstract

We obtain, in a simple way, an estimate for the Noether exponent of an ideal $I$ without embedded components (i.e. we estimate the smallest number $\mu $ such that $(\mathop {{\rm rad}} I)^{\mu }\subset I$).

Authors

  • Anna StasicaInstitute of Mathematics
    Jagiellonian University
    Reymonta 4
    30-059 Kraków, Poland
    and
    Laboratoire de Mathématiques
    Université de Savoie
    Campus scientifique
    F-73376 Le Bourget du Lac Cedex, France
    e-mail

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