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Journal Articles Journal of Homotopy and Related Structures Year : 2023

Coherent presentations of monoids with a right-noetherian Garside family

Abstract

This paper shows how to construct coherent presentations (presentations by generators, relations and relations among relations) of monoids admitting a right-noetherian Garside family. Thereby, it resolves the question of finding a unifying generalisation of the following two distinct extensions of construction of coherent presentations for spherical Artin-Tits monoids: to general Artin-Tits monoids, and to Garside monoids. The result is applied to some monoids which are neither Artin-Tits nor Garside.
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Dates and versions

hal-03276119 , version 1 (01-07-2021)
hal-03276119 , version 2 (29-07-2022)
hal-03276119 , version 3 (06-12-2022)
hal-03276119 , version 4 (28-02-2023)

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Pierre-Louis Curien, Alen Ðurić, Yves Guiraud. Coherent presentations of monoids with a right-noetherian Garside family. Journal of Homotopy and Related Structures, 2023, 18, pp.115-152. ⟨10.1007/s40062-023-00323-4⟩. ⟨hal-03276119v4⟩
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