Free bounded Archimedean \(\ell\)-algebras

DOI10.1007/s10485-021-09637-xOpenAlexW3134260831MaRDI QIDQ2231004

Patrick J. Morandi, Guram Bezhanishvili, Luca Carai

Publication date: 29 September 2021

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.01847

zbMATH Keywords

Gelfand dualityfree objectsbounded Archimedean \(\ell\)-algebra

Mathematics Subject Classification ID

Real-valued functions in general topology (54C30) Free algebras (08B20) Ordered rings, algebras, modules (06F25) Ordered topological linear spaces, vector lattices (46A40) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) Ordered rings (13J25)

Related Items (1)

The Vietoris functor and modal operators on rings of continuous functions

Cites Work

• Pierce-Birkhoff rings
• On the Pierce-Birkhoff conjecture over ordered fields
• On the function ring functor in pointfree topology
• Canonical extensions of bounded Archimedean vector lattices
• A generalization of Gelfand-Naimark-Stone duality to completely regular spaces
• On the structure of a class of archimedean lattice-ordered algebras
• Combinatorial Aspects of Piecewise Linear Functions
• Free Vector Lattices
• A General Theory of Spectra. I
• On vector lattice with a unit
• On the Pierce-Birkhoff conjecture
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