The equality of the Patch topology and the Ultrafilter topology: A shortcut

• Ruza, Luz M. ^[1] ; Vielma, Jorge ^[1]
  1. [1] Universidad de los Andes
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 12, Nº. 1, 2011, págs. 15-16
• Idioma: inglés
• DOI: 10.4995/agt.2011.1696
• Enlaces
  • Texto completo
• Resumen

  • In this work R denotes a commutative ring with non-zero identity andwe prove that the patch topology and the ultrafilter topology definedon the prime spectrum of R are equal, in a different way as the givenby Marco Fontana and K. Alan Loper

• Referencias bibliográficas
  • M. Atiyah and I. G. Macdonald, Introduction to commutative algebra, Addison-Wesley, 1969.
  • M. Fontana and K. A. Loper, The patch topology and the ultrafilter topology on the prime spectrum of a commutative ring, Comm. Algebra 36...
  • M. Hochster, Prime ideal structure in commutative rings, Trans. Amer. Math. Soc. 142 (1969), 43–60. http://dx.doi.org/10.1090/S0002-9947-1969-0251026-X