Unitization of a lattice ordered ring with a truncation

DOI10.2989/16073606.2019.1586783zbMath1484.06062arXiv1910.11708OpenAlexW2924795159MaRDI QIDQ5150987

Karim Boulabiar, Mounir Mahfoudhi

Publication date: 16 February 2021

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

Full work available at URL: https://arxiv.org/abs/1910.11708

zbMATH Keywords

truncationorthomorphismweak unitunitizationArchimedeanlattice homomorphismlattice ordered grouplattice ordered ringAlexandroff unitizationtruncation unitStone \(f\)-ring

Mathematics Subject Classification ID

Ordered rings, algebras, modules (06F25)

Cites Work

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• Truncated abelian lattice-ordered groups. I: The pointed (Yosida) representation
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• Extreme contractive operators on Stone \(f\)-algebras
• The ring of polar preserving endomorphisms of an abelian lattice-ordered group
• Subalgebras and Riesz Subspaces of an f -Algebra
• Adjoining an Identity to a Reduced Archimedeanf-Ring
• Almost f-algebras and d-algebras