Division closed lattice-ordered rings and commutative L*-rings

DOI10.2989/16073606.2018.1503201zbMath1468.06042OpenAlexW2890056348MaRDI QIDQ5238036

Jessica Lynn Smith, Jingjing Ma

Publication date: 28 October 2019

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2018.1503201

zbMATH Keywords

partial ordertotal orderlattice order\(O^*\)-ring\(L^*\)-ringregular division closed\(F^*\)-ring

Mathematics Subject Classification ID

Ordered rings, algebras, modules (06F25)

Related Items (6)

Characterizing division closed lattice-ordered rings ⋮ Extending orders on rings with idempotents and d-elements ⋮ Some questions on partially ordered rings – a survey ⋮ Extending partial orders on rings ⋮ Division closed ℓ-rings and power positive L^∗-rings ⋮ Commutative consistently \(L^{*}\)-rings

Cites Work

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• \(F^*\)-rings are \(O^*\)
• Division closed lattice-ordered rings
• A radical for lattice-ordered rings
• Almost f-algebras and d-algebras
• Lifting Idempotents and Exchange Rings
• A characterization of rings in which each partial order is contained in a total order
• Lecture Notes on Algebraic Structure of Lattice-Ordered Rings

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