ASSOCIATED PRIME IDEALS IN C(X)
نویسندگان: ثبت نشده
چکیده مقاله:
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
منابع مشابه
associated prime ideals in c(x)
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 ha...
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عنوان ژورنال
دوره 11 شماره 1
صفحات -
تاریخ انتشار 2000-03-01
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