Whitehead's problem and reverse mathematics

DOI10.1007/s11856-018-1770-5zbMath1405.03033OpenAlexW2886194079MaRDI QIDQ1618125

Yang Sen

Publication date: 13 November 2018

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-018-1770-5

zbMATH Keywords

free groupWhitehead groupreverse mathematicsPrüferconstructive algebracomputable algebraPontryagin

Mathematics Subject Classification ID

Foundations of classical theories (including reverse mathematics) (03B30) Applications of computability and recursion theory (03D80) Second- and higher-order arithmetic and fragments (03F35) Abelian groups (20K99)

Cites Work

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• Independence in computable algebra
• Infinite Abelian groups, Whitehead problem and some constructions
• Effectively categorical abelian groups
• Analytische Funktionen mehrerer komplexer Veränderlichen zu vorgegebenen Periodizitätsmoduln und das zweite Cousinsche Problem
• Algorithmic Randomness and Complexity
• On a problem of Baer and a problem of Whitehead in abelian groups
• Whitehead's Problem is Undecidable
• Set Theory
• ∏ 0 1 Classes and Degrees of Theories
• Reverse mathematics and fully ordered groups

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