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Lattice-ordered matrix algebras containing positive cycles.

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Publication:360416
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DOI10.1007/s11117-012-0167-7zbMath1339.06021OpenAlexW1992615706MaRDI QIDQ360416

Jingjing Ma, Yue-Hui Zhang

Publication date: 26 August 2013

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-012-0167-7


zbMATH Keywords

matrix algebrasintegral domainsdivision ringslattice-ordered algebraspositive \(n\)-cycles


Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Ordered rings, algebras, modules (06F25)


Related Items (2)

Some questions on partially ordered rings – a survey ⋮ Lattice-ordered matrix rings over totally ordered rings.



Cites Work

  • Finite-dimensional \(\ell\)-simple lattice-ordered algebras with a \(d\)-basis
  • Lattice-ordered matrix algebras with the usual lattice order
  • Some Structure Theorems for Lattice-Ordered Groups
  • Lattice-ordered Rings and Modules
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