The amenability and non-amenability of skew fields

dc.creatorElek, Gábor
dc.date2003-11-21
dc.date.accessioned2026-07-07T05:03:08Z
dc.date.available2026-07-07T05:03:08Z
dc.descriptionWe investigate the amenability of skew filed extensions of the complex numbers. We prove that all skew fields of finite Gelfand-Kirillov transcendence degree are amenable. However there are both amenable and non-amenable skew fields of infinite Gelfand-Kirillov transcendence degree. For example, the free field is non-amenable.
dc.identifierhttps://arxiv.org/abs/math/0311375
dc.identifierhttp://arxiv.org/abs/math/0311375
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69291
dc.subjectRings and Algebras
dc.subject12E15; 43A07
dc.titleThe amenability and non-amenability of skew fields
dc.typetext

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