Lattice-ordered 2 \(\times\) 2 triangular matrix algebras

DOI10.1016/j.laa.2005.02.020zbMath1076.15017OpenAlexW2022057850MaRDI QIDQ2484397

Walter Bradley, Jingjing Ma

Publication date: 1 August 2005

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2005.02.020

zbMATH Keywords

triangular matrix algebraslattice-ordered algebrasArchimedean lattice orders

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Algebraic systems of matrices (15A30) Ordered rings, algebras, modules (06F25)

Related Items

Lattice-ordered triangular matrix algebras, Some questions on partially ordered rings – a survey, Lattice orders on \(2 \times 2\) triangular matrix algebras, Three-Dimensional ℓ-Algebras

Cites Work

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• Lattice ordered rings and function rings
• On the scarcity of lattice-ordered matrix rings
• Archimedean, Semiperfect and π-Regular Lattice-Ordered Algebras with Polynomial Constraints are f-Algebras
• Some Structure Theorems for Lattice-Ordered Groups
• On the scarcity of lattice-ordered matrix algebras II