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Integral Domains which have Finite Character Locally
Published online by Cambridge University Press: 20 November 2018
Abstract
In recent papers Brewer and Mott have studied integral domains which have finite character globally. This paper concentrates on domains which have finite character locally. Examples include global finite character domains plus Prufer, almost Dedekind, and almost Krull domains. General properties are given, including a valuation-theoretic characterization. The effect of requiring essential and/or rank one valuations is also studied.
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- Copyright © Canadian Mathematical Society 1974