On the Cayley semigroup of a finite aperiodic semigroup

dc.creatorMintz, Avi
dc.date2008-08-25
dc.date.accessioned2026-07-07T09:58:25Z
dc.date.available2026-07-07T09:58:25Z
dc.descriptionLet $S$ be a finite semigroup. In this paper we introduce the functions $ϕ_s:S^* \to S^*$, first defined by Rhodes, given by $ϕ_s([a_1,a_2 ,...,a_n]) = [sa_1,sa_1a_2,..., sa_1a_2 ... a_n]$. We show that if $S$ is a finite aperiodic semigroup, then the semigroup generated by the functions $\{ϕ_s\}_{s \in S}$ is finite and aperiodic.
dc.identifierhttps://arxiv.org/abs/0808.3415
dc.identifierhttp://arxiv.org/abs/0808.3415
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167707
dc.subjectGroup Theory
dc.titleOn the Cayley semigroup of a finite aperiodic semigroup
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