Free fields in skew fields

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dc.creatorFerreira, Vitor O.
dc.creatorFornaroli, Érica Z.
dc.date2008-05-27
dc.date.accessioned2026-07-07T09:41:09Z
dc.date.available2026-07-07T09:41:09Z
dc.descriptionBuilding on the work of K. Chiba (J. Algebra 263 (2003), 75-87), we present sufficient conditions for the completion of a division ring with respect to the metric defined by a discrete valuation function to contain a free field, i.e. the universal field of fractions of a free associative algebra. Several applications to division rings generated by torsion-free nilpotent groups, skew Laurent series and related division rings are discussed.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/0805.4185
dc.identifierhttp://arxiv.org/abs/0805.4185
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161726
dc.subjectRings and Algebras
dc.subject16K40; 16W60; 16S10
dc.titleFree fields in skew fields
dc.typetext

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