Sheaves of abelian \(l\)-groups

DOI10.1007/s11083-012-9258-0zbMath1293.13002OpenAlexW1980765583MaRDI QIDQ2376912

Niels Schwartz

Publication date: 26 June 2013

Published in: Order (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11083-012-9258-0

zbMATH Keywords

spectrumlattice-ordered groupPrüfer domainvaluationgroup of divisibilitysheaf\(l\)-idealgroup of Cartier divisorsprime \(l\)-ideal

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) Divisibility and factorizations in commutative rings (13A05)

Related Items (6)

Some Closure Operations in Zariski-Riemann Spaces of Valuation Domains: A Survey ⋮ A set-theoretic proof of the representation of MV-algebras by sheaves ⋮ Sheaf representations of MV-algebras and lattice-ordered abelian groups via duality ⋮ Positive semifields and their ideals ⋮ Sheaves and duality ⋮ The hull-kernel topology on prime filters in residuated lattices

Cites Work

• Representation theory of MV-algebras
• Inverse real closed spaces
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• Groupes et anneaux reticules
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• Valuation theory
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• The basic theory of real closed spaces
• Jaffard-Ohm correspondence and Hochster duality
• Spectral Spaces
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• Prime Ideal Structure in Commutative Rings
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