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Complementing lattice-ordered groups: The projectable case

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Publication:809110
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DOI10.1007/BF00383766zbMath0732.06010MaRDI QIDQ809110

Jorge Martinez, Paul F. Conrad

Publication date: 1990

Published in: Order (Search for Journal in Brave)


zbMATH Keywords

complementationlaterally completepolarroot-systemcomplemented \(\ell \)-groupprime subgroupprojectable \(\ell \)-groupsstrongly rigid


Mathematics Subject Classification ID

Complemented lattices, orthocomplemented lattices and posets (06C15) Ordered groups (06F15)


Related Items (4)

The maximal ring of quotient \(f\)-ring ⋮ Complemented lattice-ordered groups ⋮ Complementing lattice-ordered groups: The finite-valued case ⋮ On adjoining units to hyper-archimedean $l$-groups



Cites Work

  • Unnamed Item
  • Unnamed Item
  • Projectable and strongly projectable lattice-ordered groups
  • Signatures and \(S\)-discrete lattice-ordered groups
  • Complemented lattice-ordered groups
  • On subdirect sums of ordered groups
  • Prime Ideals in Vector Lattices
  • Über Strukturverbände von Verbandsgruppen
  • The lateral completion of an arbitrary lattice group
  • Epi-archimedean groups
  • The Completion of a Lattice Ordered Group
  • The Lateral Completion of a Lattice-Ordered Group


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