2011.12: Non-axiomatizability of real spectra in L<sub>∞λ</sub>
2011.12: Marcus Tressl (2011) Non-axiomatizability of real spectra in L<sub>∞λ</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>∞λ</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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