منابع مشابه
The Dual of a Strongly Prime Ideal
Let R be a commutative integral domain with quotient field K and let P be a nonzero strongly prime ideal of R. We give several characterizations of such ideals. It is shown that (P : P) is a valuation domain with the unique maximal ideal P. We also study when P^{&minus1} is a ring. In fact, it is proved that P^{&minus1} = (P : P) if and only if P is not invertible. Furthermore, if P is invertib...
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It is shown that Matet’s characterization ([9]) of the Ramsey property relative to a selective co-ideal H, in terms of games of Kastanas ([6]), still holds if we consider semiselectivity ([3]) instead of selectivity. Moreover, we prove that a co-ideal H is semiselective if and only if Matet’s game-theoretic characterization of the H-Ramsey property holds. This lifts Kastanas’s characterization ...
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ژورنال
عنوان ژورنال: Fundamenta Mathematicae
سال: 2002
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm173-2-4