Two new algebraic equivalents to the axiom of choice

DOI10.1007/BF01236864zbMath0675.03030OpenAlexW1974552507WikidataQ114694005 ScholiaQ114694005MaRDI QIDQ1121877

Karl-Heinz Diener

Publication date: 1989

Published in: Algebra Universalis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01236864

zbMATH Keywords

axiom of choiceaxiom of multiple choice

Mathematics Subject Classification ID

Consistency and independence results (03E35) Subalgebras, congruence relations (08A30) Free algebras (08B20) Axiom of choice and related propositions (03E25) Infinitary algebras (08A65)

Cites Work

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• All uncountable cardinals can be singular
• Eine Konstruktion absolut freier Algebren
• A lattice formulation for transcendence degrees and p-bases
• Mehrstufige Austauschstrukturen
• ON CONSTRUCTING INFINITARY LANGUAGES Lα β WITHOUT THE AXIOM OF CHOICE
• Axioms of multiple choice
• Variants of the axiom of choice in set theory with atoms

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