Makar-Limanov's conjecture on free subalgebras

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dc.creatorSmoktunowicz, Agata
dc.date2009-03-09
dc.date.accessioned2026-07-07T12:50:34Z
dc.date.available2026-07-07T12:50:34Z
dc.descriptionIt is proved that over every countable field K there is a nil algebra R such that the algebra obtained from R by extending the field K contains noncommutative free subalgebras of arbitrarily high rank. It is also shown that over every countable field K there is an algebra R without noncommutative free subalgebras of rank two such that the algebra obtained from R by extending the field K contains a noncommutative free subalgebra of rank two. This answers a question of Makar-Limanov
dc.identifierhttps://arxiv.org/abs/0903.1626
dc.identifierhttp://arxiv.org/abs/0903.1626
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/222723
dc.subjectRings and Algebras
dc.subject16S10, 16N40, 16W50
dc.titleMakar-Limanov's conjecture on free subalgebras
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