Non-axiomatizability of Real Spectra in L∞λ

نویسندگان

  • TIMOTHY MELLOR
  • MARCUS TRESSL
چکیده

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.

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تاریخ انتشار 2011