ASSOCIATED PRIME IDEALS IN C(X) | ||
| Journal of Sciences, Islamic Republic of Iran | ||
| مقاله 8، دوره 11، شماره 1، 2000 اصل مقاله (335.86 K) | ||
| چکیده | ||
| The minimal prime decomposition for semiprime ideals is defined and studied on z-ideals of C(X). The necessary and sufficient condition for existence of the minimal prime decomposition of a z-ideal / is given, when / satisfies one of the following conditions: (i) / is an intersection of maximal ideals. (ii) I is an intersection of O , s, when X is basically disconnected. (iii) I=O , when x X has a countable base of neighborhoods. (iv) I is finitely generated. (v) / is countably generated, when X is compact and countable of first kind | ||
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