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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

A NOTE ON THE VALUATION

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
1994, v.1 no.1, pp.7-11
Park, Joong-Soo (Department of Mathematics, Chonju Woosuk University)

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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한국수학교육학회지시리즈B:순수및응용수학