Grothendieck rings of Laurent series fields

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dc.creatorCluckers, Raf
dc.date2002-10-22
dc.date.accessioned2026-07-07T04:52:15Z
dc.date.available2026-07-07T04:52:15Z
dc.descriptionWe study Grothendieck rings (in the sense of logic) of fields. We prove the triviality of the Grothendieck rings of certain fields by constructing definable bijections which imply the triviality. More precisely, we consider valued fields, for example, fields of Laurent series over the real numbers, over p-adic numbers and over finite fields, and construct definable bijections from the line to the line minus one point.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/math/0210350
dc.identifierhttp://arxiv.org/abs/math/0210350
dc.identifierJ. Algebra 272 (2004), 692--700
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65397
dc.subjectLogic
dc.subjectPrimary 03C60, 12L12; Secondary 03C07
dc.titleGrothendieck rings of Laurent series fields
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