Prime ideals in free \(\ell\)-groups and free vector lattices

DOI10.1006/jabr.1999.7892zbMath0972.06011OpenAlexW2055734974MaRDI QIDQ1306832

Giovanni Panti

Publication date: 20 December 1999

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1999.7892

zbMATH Keywords

derivation operatorfree lattice-ordered Abelian groupsfree MV-algebrasfree vector latticespiecewise-linear homogeneous functions over real affine spaceprime ideal spacesroot system of prime ideals

Mathematics Subject Classification ID

MV-algebras (06D35) Ordered topological linear spaces, vector lattices (46A40) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items (5)

Geometry of Robinson consistency in Łukasiewicz logic ⋮ Gödel incompleteness in AF C*-algebras ⋮ On cluster \(C^\ast\)-algebras ⋮ Decidable and undecidable prime theories in infinite-valued logic ⋮ Generic substitutions

Cites Work

• Interpretation of AF \(C^*\)-algebras in Łukasiewicz sentential calculus
• Groupes et anneaux reticules
• The structure of free Abelian \(\ell\)-groups and free vector lattices
• Introduction to Toric Varieties. (AM-131)
• Algebraic Analysis of Many Valued Logics
• Applications of Duality in the Theory of Finitely Generated Lattice-Ordered Abelian Groups
• Combinatorial Aspects of Piecewise Linear Functions
• Free Vector Lattices
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