The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)
- Volume 1 Issue 1
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- Pages.7-11
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- 1994
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- 1226-0657(pISSN)
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- 2287-6081(eISSN)
A NOTE ON THE VALUATION
Abstract
Classically, valuation theory is closely related to the theory of divisors and conversely. If D is a Dedekined ring and K is its quotient field, then we can clearly construct the theory of divisors on D (or K), and then we can induce all the valuations on K ([3]). In particular, if K is a number field and A is the ring of algebraic integers, then since Z is Dedekind, A is a Dedekind rign and K is the field of fractions of A.(omitted)
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