Real spectrum of a unitary commutative ring

• Autores: José Manuel Gamboa Mutuberria
• Localización: Boletín de la Sociedad Puig Adam de profesores de matemáticas, ISSN 1135-0261, Nº. 118, 2024, págs. 67-84
• Idioma: inglés
• Títulos paralelos:
  • Espectro real de un anillo conmutativo y unitario
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• Resumen

  • We first recall the notion of Zariski spectrum of a unitary commutative ring, which plays a crucial role in the development of algebraic geometry over an algebraically closed field. The goal of this note is to present the notion and main properties of the real spectrum of a unitary commutative ring, introduced by Michael Coste and Marie Francoise Roy, which plays in algebraic geometry over real closed fields an analogous role to the played by the Zariski spectrum in the classical case.

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