Non-axiomatizability of real spectra in L_{∞λ}

Tressl, Marcus (2011) Non-axiomatizability of real spectra in L_{∞λ}. [MIMS Preprint]

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Abstract

We show that the property of a spectral space, to be a spectral subspace of the real spectrum of a commutative ring, is not expressible in the infinitary first order language L_{∞λ} of its defining lattice. This generalises a result of Delzell and Madden which says that not every completely normal spectral space is a real spectrum

Item Type:	MIMS Preprint
Subjects:	MSC 2010, the AMS's Mathematics Subject Classification > 03 Mathematical logic and foundations MSC 2010, the AMS's Mathematics Subject Classification > 14 Algebraic geometry
Depositing User:	Dr Marcus Tressl
Date Deposited:	24 Jan 2011
Last Modified:	08 Nov 2017 18:18
URI:	https://eprints.maths.manchester.ac.uk/id/eprint/1569

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