Non-axiomatizability of real spectra in \(\mathcal L_{ \infty \lambda} \)

DOI10.5802/AFST.1337zbMath1254.03075OpenAlexW2078840671MaRDI QIDQ439222

Marcus Tressl, Timothy Mellor

Publication date: 1 August 2012

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/afst.1337

zbMATH Keywords

real spectrumcommutative ringspectral spaceinfinitary first-order language

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Applications of logic to commutative algebra (13L05) Other infinitary logic (03C75)

Related Items (5)

Real spectra and \(\ell\)-spectra of algebras and vector lattices over countable fields ⋮ A solution to the MV-spectrum problem in size aleph one ⋮ Real spectrum versus \(\ell\)-spectrum via Brumfiel spectrum ⋮ Spectral spaces of countable Abelian lattice-ordered groups ⋮ From noncommutative diagrams to anti-elementary classes

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• The order structure of the real spectrum of commutative rings
• Semi-algebraic function rings and reflectors of partially ordered rings
• Elementary properties of minimal and maximal points in Zariski spectra
• The basic theory of real closed spaces
• Prime Ideal Structure in Commutative Rings
• Representation of Distributive Lattices by means of ordered Stone Spaces

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