A topological version of Hilbert's Nullstellensatz

Carmelo Antonio Finocchiaro; Marco Fontana; Dario Spirito

doi:10.1016/j.jalgebra.2016.04.020

A topological version of Hilbert's Nullstellensatz

Carmelo Antonio Finocchiaro, Marco Fontana, Dario Spirito

Institut für Analysis und Zahlentheorie (5010)

Publikation: Beitrag in einer Fachzeitschrift › Artikel › Begutachtung

Abstract

We prove that the space of radical ideals of a ring R, endowed with the hull-kernel topology, is a spectral space, and that it is canonically homeomorphic to the space of the non-empty Zariski closed subspaces of Spec(R), endowed with a Zariskilike topology

Originalsprache	englisch
Seiten (von - bis)	25-41
Fachzeitschrift	Journal of Algebra
Jahrgang	461
DOIs	https://doi.org/10.1016/j.jalgebra.2016.04.020
Publikationsstatus	Veröffentlicht - 2016

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10.1016/j.jalgebra.2016.04.020

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title = "A topological version of Hilbert's Nullstellensatz",

abstract = "We prove that the space of radical ideals of a ring R, endowed with the hull-kernel topology, is a spectral space, and that it is canonically homeomorphic to the space of the non-empty Zariski closed subspaces of Spec(R), endowed with a Zariskilike topology",

author = "Finocchiaro, {Carmelo Antonio} and Marco Fontana and Dario Spirito",

year = "2016",

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AU - Finocchiaro, Carmelo Antonio

AU - Fontana, Marco

AU - Spirito, Dario

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N2 - We prove that the space of radical ideals of a ring R, endowed with the hull-kernel topology, is a spectral space, and that it is canonically homeomorphic to the space of the non-empty Zariski closed subspaces of Spec(R), endowed with a Zariskilike topology

AB - We prove that the space of radical ideals of a ring R, endowed with the hull-kernel topology, is a spectral space, and that it is canonically homeomorphic to the space of the non-empty Zariski closed subspaces of Spec(R), endowed with a Zariskilike topology

U2 - 10.1016/j.jalgebra.2016.04.020

DO - 10.1016/j.jalgebra.2016.04.020

M3 - Article

SN - 0021-8693

VL - 461

SP - 25

EP - 41

JO - Journal of Algebra

JF - Journal of Algebra

ER -

A topological version of Hilbert's Nullstellensatz

Abstract

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