Valuated vector spaces, Kurepa's hypothesis and Abelian \(p\)-groups

DOI10.1216/RMJM/1181072491zbMath0814.20034OpenAlexW1978020440MaRDI QIDQ1328235

Doyle Cutler, Radoslav M. Dimitrić

Publication date: 20 September 1994

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072491

zbMATH Keywords

heightsoclesexistence resultsabelian \(p\)-groupsvaluated vector spacesKurepa treesKurepa condition

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Other combinatorial set theory (03E05) Torsion groups, primary groups and generalized primary groups (20K10) Subgroups of abelian groups (20K27)

Related Items (3)

The affinity of set theory and abelian group theory. ⋮ Generalizations of primary Abelian \(C_\alpha\) groups. ⋮ Unnamed Item

Cites Work

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• On iterated torsion products of Abelian \(p\)-groups
• Vector spaces with valuations
• Valuated groups
• A theorem on the closure of \(\Omega\)-pure subgroups of \(C_{\Omega}\) groups in the \(\Omega\)-topology
• On the structure of Tor. II
• Homology and direct sums of countable abelian groups
• The Balanced-Projective Dimension of Abelian p-Groups
• On the Structure of Primary Abelian Groups of Countable Ulm Type

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