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CONTRACTED,
$\mathfrak{m}$-FULL AND RELATED CLASSES OF IDEALS IN LOCAL RINGS
Published online by Cambridge University Press: 25 February 2013
Abstract
The class of $\mathfrak{m}$-full and four related classes of ideals in a local ring (R,
$\mathfrak{m}$) are extended by replacing
$\mathfrak{m}$ with other ideals and the resulting classes of ideals are compared. It is shown that contracted ideals are
$\mathfrak{m}$-full in a local ring with infinite residue field.
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- Research Article
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- Copyright © Glasgow Mathematical Journal Trust 2013
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