The patch topology and the ultrafilter topology on the prime spectrum of a commutative ring

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dc.creatorFontana, Marco
dc.creatorLoper, K. Alan
dc.date2007-07-10
dc.date2007-10-14
dc.date.accessioned2026-07-07T08:35:50Z
dc.date.available2026-07-07T08:35:50Z
dc.descriptionLet R be a commutative ring and let Spec(R) denote the collection of prime ideals of R. We define a topology on Spec(R) by using ultrafilters and demonstrate that this topology is identical to the well known patch or constructible topology. The proof is accomplished by use of a von Neumann regular ring canonically associated with $R$.
dc.descriptionA Remark was added at the end of the paper. To appear in Comm. Algebra
dc.identifierhttps://arxiv.org/abs/0707.1525
dc.identifierhttp://arxiv.org/abs/0707.1525
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139872
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject13A99; 14A05; 13L05
dc.titleThe patch topology and the ultrafilter topology on the prime spectrum of a commutative ring
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