Some equivalents of AC in algebra. II (Q1966142)
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scientific article; zbMATH DE number 1407095
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some equivalents of AC in algebra. II |
scientific article; zbMATH DE number 1407095 |
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Some equivalents of AC in algebra. II (English)
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27 February 2000
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[For Part I see ibid. 36, No. 4, 564-572 (1996; Zbl 0902.04002).] It is shown that the Axiom of Choice is equivalent to the statement: Any quotient group of any abelian group has a selector. Further, the Multiple Choice Axiom is equivalent to the statement: Any filter in any boolean ring has a well-ordered filterbase.
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axiom of choice
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quotient group
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boolean ring
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filter
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abelian group
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selector
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multiple choice axiom
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well-ordered filterbase
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0.76929486
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