A Combinatorial Property of Ideals in Free Profinite Monoids

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dc.creatorSteinberg, Benjamin
dc.date2008-11-08
dc.date.accessioned2026-07-07T10:17:04Z
dc.date.available2026-07-07T10:17:04Z
dc.descriptionWe prove every regular element of a free profinite monoid generates a prime ideal; in particular the minimal ideal is prime. The latter result was first proved by Almeida and Volkov using techniques from symbolic dynamics; our proof is elementary.
dc.identifierhttps://arxiv.org/abs/0811.1274
dc.identifierhttp://arxiv.org/abs/0811.1274
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173727
dc.subjectGroup Theory
dc.subjectCombinatorics
dc.titleA Combinatorial Property of Ideals in Free Profinite Monoids
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