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Realization theorems for valuated \(p^n\)-socles.

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Publication:661355
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DOI10.4171/RSMUP/126-9zbMath1241.20064OpenAlexW2004335519MaRDI QIDQ661355

Patrick W. Keef

Publication date: 10 February 2012

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/243162


zbMATH Keywords

Abelian \(p\)-groups\(n\)-summable groupsUlm functionsvaluated \(p\)-groupsvaluated vector spaces


Mathematics Subject Classification ID

Torsion groups, primary groups and generalized primary groups (20K10)


Related Items

A NOTE ON ESSENTIALLY INDECOMPOSABLE n-SUMMABLE ABELIAN p-GROUPS ⋮ Generalizations of primary Abelian \(C_\alpha\) groups.



Cites Work

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  • Vector spaces with valuations
  • Valuated groups
  • Primary abelian groups and direct sums of cyclics
  • On properties of \(n\)-totally projective Abelian \(p\)-groups.
  • n-Summable Valuatedpn-Socles and Primary Abelian Groups
  • Generalized Wallace theorems
  • Existence Theorems for Warfield Groups
  • Set Theory
  • ON m, n-BALANCED PROJECTIVE AND m, n-TOTALLY PROJECTIVE PRIMARY ABELIAN GROUPS
  • Another Summable C Ω -Group
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