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GCD DOMAINS AND POWER SERIES RINGS
Journal article   Peer reviewed

GCD DOMAINS AND POWER SERIES RINGS

M. H Park, D. D Anderson and B. G Kang
Communications in Algebra, Vol.30(12), pp.5955-5960
12/31/2002
DOI: 10.1081/AGB-120016025

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Abstract

We show that if is a valuation domain with a GCD domain, then must be of rank one with value group either or . But we give an example of a rank-one valuation domain with value group for which is not a GCD domain.

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