Definability of local abelian groups by their splitting rings

DOI10.1134/S1995080220090309zbMath1460.20012OpenAlexW3101665485MaRDI QIDQ2211379

S. V. Vershina

Publication date: 11 November 2020

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

Full work available at URL: https://doi.org/10.1134/s1995080220090309

zbMATH Keywords

\(p\)-local groupsplitting ring

Mathematics Subject Classification ID

Torsion-free groups, finite rank (20K15)

Cites Work

• Kurosch invariants for torsion-free modules over Nagata valuation domains
• Splitting fields for torsion-free modules over discrete valuation rings. I
• Indecomposable \(p\)-local torsion-free groups with quadratic and cubic splitting fields
• Countable abelian groups without torsion
• Indecomposable Modules Over Nagata Valuation Domains
• Co-purely indecomposable modules over discrete valuation rings
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