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Pré-Publication, Document De Travail Année : 2020

Right-orderability versus left-orderability for monoids

Résumé

We investigate the relationship between (total) left- and right-orderability for monoids, in particular illustrating the finite case by various structural observations and counterexamples, also highlighting the particular role played by \emph{positive} orderability. Moreover, we construct a non-left-orderable, positively right-orderable submonoid of the free product of the cyclic group of order 7 with the free group on four generators. Any group extension of that monoid has elements of order 7.
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Dates et versions

hal-02872310 , version 1 (17-06-2020)
hal-02872310 , version 2 (15-07-2020)

Identifiants

  • HAL Id : hal-02872310 , version 1

Citer

Friedrich Wehrung. Right-orderability versus left-orderability for monoids. 2020. ⟨hal-02872310v1⟩
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