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Factorization Rings

Published online by Cambridge University Press:  20 November 2018

J.-M. Maranda*
Affiliation:
Université de Montréal
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Let o be an integral domain with as field of quotients. W. Krull has shown (3 ; 4) that the following three conditions on o are equivalent:

There is a set of rank 1, discrete valuations of such that for each non-null element for all except a finite number, and such that for all if and only if for all i ∊ I.

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Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1957