Some equivalents of AC in algebra II |
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| Authors: | K. Keremedis |
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| Affiliation: | (1) Department of Mathematics, University of the Aegean, GR-83200 Karlovasi, Samos, Greece. E-mail: kker@aegean.gr, GR |
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| Abstract: | We show that the axiom of choice AC is equivalent to the statement Any quotient group of any abelian group has a selector. We also show that the multiple choice axiom MC is equivalent to the assertion: Any filter in any Boolean ring has a well ordered filterbase. Received October 3, 1996; accepted in final form May 1, 1998. |
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| Keywords: | and phrases: Axiom of choice quotient group Boolean ring filter. |
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