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Free modules over Hjelmslev rings in which not every maximal linearly independent subset is a basis

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Publication:1201921
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DOI10.1007/BF01225769zbMath0765.51004MaRDI QIDQ1201921

Alexander Kreuzer

Publication date: 17 January 1993

Published in: Journal of Geometry (Search for Journal in Brave)


zbMATH Keywords

projective Hjelmslev spaces\(H\)-ringsmodules over \(AH\)-rings


Mathematics Subject Classification ID

Noetherian rings and modules (associative rings and algebras) (16P40) Ring geometry (Hjelmslev, Barbilian, etc.) (51C05)


Related Items (3)

On hyperplanes and free subspaces of affine Klingenberg spaces ⋮ Affine planes over finite rings, a summary ⋮ Applications of local algebras of differentiable manifolds




Cites Work

  • Desarguessche Ebenen mit Nachbarelementen
  • A system of axioms for projective Hjelmslev spaces
  • Valuations of skew fields and projective Hjelmslev spaces
  • A counter-example in ring theory and homological algebra
  • Some remarks on the structure of indecomposable injective modules over valuation rings
  • Generalized Discrete Valuation Rings
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