Abstract
Previously W. Krull conjectured that every completely integrally closed primary domain of integrity is a valuation ring, The main purpose of the present paper is to construct in §1 a counter example against this conjecture. In § 2 we show a necessary and sufficient condition that a field is a quotient field of a suitable completely integrally closed primary domain of integrity which is not a valuation ring.
Publisher
Cambridge University Press (CUP)
Reference2 articles.
1. Beitráge zur Arithmetik kommutativer Integritâtsbereiche II;Krull;Math, Zeit.,1936
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22 articles.
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