Integral Domains which have Finite Character Locally
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Rank One
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AbstractIn 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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1972 ◽
Vol 24
(6)
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pp. 1170-1177
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1985 ◽
Vol 132
(4)
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pp. 203
2015 ◽
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1982 ◽
Vol 34
(1)
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pp. 196-215
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1990 ◽
Vol 88
(2)
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pp. 233-250
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