Free fields in skew fields

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Building 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.
16 pages

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Rings and Algebras, 16K40; 16W60; 16S10

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http://salesiana.dossiersoluciones.com/handle/123456789/161726

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0805.4185
 http://arxiv.org/abs/0805.4185

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arXiv