Computation of unirational fields

dc.creatorGutierrez, Jaime
dc.creatorSevilla, David
dc.date2008-04-10
dc.date.accessioned2026-07-07T09:38:43Z
dc.date.available2026-07-07T09:38:43Z
dc.descriptionOne of the main contributions which Volker Weispfenning made to mathematics is related to Groebner bases theory. In this paper we present an algorithm for computing all algebraic intermediate subfields in a separably generated unirational field extension (which in particular includes the zero characteristic case). One of the main tools is Groebner bases theory. Our algorithm also requires computing primitive elements and factoring over algebraic extensions. Moreover, the method can be extended to finitely generated K-algebras.
dc.description28 pages
dc.identifierhttps://arxiv.org/abs/0804.1679
dc.identifierhttp://arxiv.org/abs/0804.1679
dc.identifierComputation of unirational fields. J. Symbolic Comput. 41 (2006), no. 11, 1222--1244. MR2267134 (2007g:12003)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/160912
dc.subjectSymbolic Computation
dc.subjectCommutative Algebra
dc.subjectI.1.1; I.1.2
dc.titleComputation of unirational fields
dc.typetext

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