Forms of choice in ring theory

DOI10.1007/S00025-018-0935-1zbMath1506.03105OpenAlexW2904756839MaRDI QIDQ1729895

Salome Schumacher, Waltraud Lederle, Lorenz Halbeisen, Nir Lazarovich, Norbert Hungerbühler, Marc Lischka

Publication date: 28 February 2019

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-018-0935-1

zbMATH Keywords

axiom of choiceconsistency resultsbounded multiple choicecycle choicefinite choiceroot functions in integral domainssquare root functions in rings

Mathematics Subject Classification ID

Axiom of choice and related propositions (03E25) Divisibility and factorizations in commutative rings (13A05)

Related Items (2)

Some implications of Ramsey choice for families of \(n\)-element sets ⋮ An alternative quadratic formula

Cites Work

• Choosing l-element subsets of n-element sets
• Zero square rings
• Coloring infinite graphs and the Boolean prime ideal theorem
• Krull Implies Zorn
• Combinatorial Set Theory
• Bases in Vector Spaces and the Axiom of Choice
• Zermelo-Fraenkel consistency results by Fraenkel-Mostowski methods
• The axiom of choice
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