Dedekind \(\sigma \)-complete \(\ell \)-groups and Riesz spaces as varieties

DOI10.1007/S11117-019-00718-9zbMath1484.06059arXiv1712.04374OpenAlexW3105504064MaRDI QIDQ2194076

Marco Abbadini

Publication date: 25 August 2020

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.04374

zbMATH Keywords

equational classeslattice-ordered groupRiesz spaceaxiomatizationvector lattice\( \sigma \)-completenessinfinitary variety

Mathematics Subject Classification ID

Equational classes, universal algebra in model theory (03C05) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) Infinitary algebras (08A65)

Related Items (1)

Operations that preserve integrability, and truncated Riesz spaces

Cites Work

• The Loomis-Sikorski theorem revisited
• Groupes et anneaux reticules
• Small Riesz spaces
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