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Integral Domains which have Finite Character Locally

Published online by Cambridge University Press:  20 November 2018

Kenneth Pacholke
Kenneth Pacholke*
Affiliation:
Northland College, Ashland, Wisconsin 54806
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Abstract

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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.

Keywords

13F0513G05Finite characterfamily of valuationsalmost Dedekind domainalmost Krull domainPrufer domainessential domaingeneralized Krull domaindomain of finite real characterdomain of Krull type
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 17 , Issue 4 , 01 December 1974 , pp. 553 - 558
Copyright
Copyright © Canadian Mathematical Society 1974

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