Some equivalents of AC in algebra. II
type: Item
instance of: scholarly article
title: Some equivalents of AC in algebra. II
zbMATH Open document ID: 0933.03061
published in: Algebra Universalis
publication date: 2000-02-27T00:00:00Z
review text: [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.
reviewed by: Ivan Chajda
Mathematics Subject Classification ID: 03E25
Mathematics Subject Classification ID: 20A15
Mathematics Subject Classification ID: 03G05
Mathematics Subject Classification ID: 20A05
Mathematics Subject Classification ID: 06E20
zbMATH DE Number: 1407095
zbMATH Keywords: axiom of choice
zbMATH Keywords: quotient group
zbMATH Keywords: boolean ring
zbMATH Keywords: filter
zbMATH Keywords: abelian group
zbMATH Keywords: selector
zbMATH Keywords: multiple choice axiom
zbMATH Keywords: well-ordered filterbase
author: Kyriakos Keremedis
MaRDI profile type: Publication
full work available at URL: s000120050073
OpenAlex ID: W2076090765
DOI: 10.1007/S000120050073
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description: scientific article; zbMATH DE number 1407095