Internal cohen extensions
نویسندگان
چکیده
منابع مشابه
Cardinal Sequences and Cohen Real Extensions
We show that if we add any number of Cohen reals to the ground model then, in the generic extension, a locally compact scattered space has at most (2 ℵ0) V many levels of size ω. We also give a complete ZF C characterization of the cardinal sequences of regular scattered spaces. Although the classes of the regular and of the 0-dimensional scattered spaces are different, we prove that they have ...
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We associate to every equicharacteristic zero Noetherian local ring R a faithfully flat ring extension which is an ultraproduct of rings of various prime characteristics, in a weakly functorial way. Since such ultraproducts carry naturally a non-standard Frobenius, we can define a new tight closure operation on R by mimicking the positive characteristic functional definition of tight closure. T...
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ژورنال
عنوان ژورنال: Annals of Mathematical Logic
سال: 1970
ISSN: 0003-4843
DOI: 10.1016/0003-4843(70)90009-4