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2011.12: Non-axiomatizability of real spectra in L<sub>&infin;&lambda;</sub>

2011.12: Marcus Tressl (2011) Non-axiomatizability of real spectra in L<sub>&infin;&lambda;</sub>.

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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<sub>&infin;&lambda;</sub> 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 2000 > 03 Mathematical logic and foundations
MSC 2000 > 14 Algebraic geometry
MIMS number:2011.12
Deposited By:Dr Marcus Tressl
Deposited On:24 January 2011

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