Geodesic
CONTRACTED, $\mathfrak{m}$-FULL AND RELATED CLASSES OF IDEALS IN LOCAL RINGS
Glasgow mathematical journal, Tome 55 (2013) no. 3, pp. 669-675

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DOI

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.
DOI : 10.1017/S0017089512000833
Mots-clés : 13H99, 13E05, 13B22 
RUSH, DAVID E. CONTRACTED, $\mathfrak{m}$-FULL AND RELATED CLASSES OF IDEALS IN LOCAL RINGS. Glasgow mathematical journal, Tome 55 (2013) no. 3, pp. 669-675. doi: 10.1017/S0017089512000833
@article{10_1017_S0017089512000833,
     author = {RUSH, DAVID E.},
     title = {CONTRACTED, $\mathfrak{m}${-FULL} {AND} {RELATED} {CLASSES} {OF} {IDEALS} {IN} {LOCAL} {RINGS}},
     journal = {Glasgow mathematical journal},
     pages = {669--675},
     year = {2013},
     volume = {55},
     number = {3},
     doi = {10.1017/S0017089512000833},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089512000833/}
}
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