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On \(\omega\)-filtered vector spaces and their application to Abelian p- groups. I

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Publication:1063121
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DOI10.1007/BF02567406zbMath0573.20054OpenAlexW2027123521MaRDI QIDQ1063121

B. George

Publication date: 1985

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/140006

zbMATH Keywords

filtrationBoolean algebrainvariantsoclethin subsetsp-group\(\omega \) -filtered vector spaces\(p^{\omega +1}\)-injective p-groups\(p^{\omega +1}\)-projective groupsprojective filtered vector spaceseparable p- groupsmooth ascending chain of subspacesuncountable regular dimension


Mathematics Subject Classification ID

Torsion groups, primary groups and generalized primary groups (20K10) Subgroups of abelian groups (20K27) Ordinal and cardinal numbers (03E10) Topological methods for abelian groups (20K45)


Related Items

Abelian groups, n-Summable Valuatedpn-Socles and Primary Abelian Groups, A theorem on the closure of \(\Omega\)-pure subgroups of \(C_{\Omega}\) groups in the \(\Omega\)-topology, An independence result in quadratic form theory: Infinitary combinatorics applied to ε-Hermitian spaces, Extending homomorphisms on the socles of primary abelian groups



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