Integral Domains which have Finite Character Locally
Canadian mathematical bulletin, Tome 17 (1974) no. 4, pp. 553-558
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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.
Mots-clés :
13F05, 13G05, Finite character, family of valuations, almost Dedekind domain, almost Krull domain, Prufer domain, essential domain, generalized Krull domain, domain of finite real character, domain of Krull type
Pacholke, Kenneth. Integral Domains which have Finite Character Locally. Canadian mathematical bulletin, Tome 17 (1974) no. 4, pp. 553-558. doi: 10.4153/CMB-1974-098-9
@article{10_4153_CMB_1974_098_9,
author = {Pacholke, Kenneth},
title = {Integral {Domains} which have {Finite} {Character} {Locally}},
journal = {Canadian mathematical bulletin},
pages = {553--558},
year = {1974},
volume = {17},
number = {4},
doi = {10.4153/CMB-1974-098-9},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1974-098-9/}
}
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