A topological version of Hilbert's Nullstellensatz

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• 作者：Carmelo A. Finocchiaro^a ; ^{finocchiaro@math.tugraz.at" class="auth_mail" title="E-mail the corresponding author} ; Marco Fontana^b ; ^{fontana@mat.uniroma3.it" class="auth_mail" title="E-mail the corresponding author} ; Dario Spirito^b ; ^{spirito@mat.uniroma3.it" class="auth_mail" title="E-mail the corresponding author}
• 关键词：13A10 ; 13A15 ; 13G05 ; 13B10 ; 13E99 ; 14A05
• 刊名：Journal of Algebra
• 出版年：2016
• 出版时间：1 September 2016
• 年：2016
• 卷：461
• 期：Complete
• 页码：25-41
• 全文大小：414 K

文摘

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)$\text{<monospace>Spec</monospace>}(R)$, endowed with a Zariski-like topology.