Hereditary ℓ-ideals of matrix rings over ℓ-rings

DOI10.1080/03081087.2018.1497583zbMath1437.13042OpenAlexW2887796260MaRDI QIDQ5240733

Ruiqi Bai, Yichuan Yang

Publication date: 29 October 2019

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

Full work available at URL: https://doi.org/10.1080/03081087.2018.1497583

zbMATH Keywords

\(\ell\)-ring\(\ell\)-idealhereditary \(\ell\)-ideal of a matrix ringstrong absorbing property

Mathematics Subject Classification ID

Ordered rings, algebras, modules (06F25) Ordered rings (13J25)

Cites Work

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• Non-Archimedean directed fields \(K(i)\) with o-subfield \(K\) and \(i^2=-1\).
• Fields with directed partial orders
• A structure theory for a class of lattice-ordered rings
• Lattice-ordered fields
• An extension of a Y. C. Yang theorem
• Note on classification of two-dimensional associative lattice-ordered real algebras
• On the existence of directed rings and algebras with negative squares
• On Elements with Negative Squares
• A Lattice-Ordered Skew Field Is Totally Ordered If Squares Are Positive

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