Cardinalities of Residue Fields of Noetherian Integral Domains
نویسنده
چکیده
We determine the relationship between the cardinality of a Noetherian integral domain and the cardinality of a residue field. One consequence of the main result is that it is provable in ZFC that there is a Noetherian domain of cardinality א1 with a finite residue field, but the statement “There is a Noetherian domain of cardinality א2 with a finite residue field” is equivalent to the negation of the Continuum Hypothesis.
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