Published online by Cambridge University Press: 25 February 2013
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.