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Lattice-ordered fields determined by \(d\)-elements

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Publication:2642574
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DOI10.1007/s10485-007-9063-xzbMath1130.06008OpenAlexW2132763047MaRDI QIDQ2642574

Jingjing Ma, R. H. Redfield

Publication date: 17 August 2007

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10485-007-9063-x

zbMATH Keywords

algebraic extensionlattice-ordered ringadjoint functorWilson basislattice-ordered field\(d\)-element\(f\)-element


Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Ordered rings, algebras, modules (06F25) Vector spaces, linear dependence, rank, lineability (15A03)




Cites Work

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  • Lattice-ordered fields
  • Lattice-ordered fields as convolution algebras
  • Lattice orderings on the real field
  • Finitely-valued f-modules
  • Some Structure Theorems for Lattice-Ordered Groups
  • Subfields of Lattice-Ordered Fields That Mimic Maximal Totally Ordered Subfields
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