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arXiv · 2107.00498

Coherent presentations of monoids with a right-noetherian Garside family

Pierre-Louis Curien·Alen Ðurić·Yves Guiraud
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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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Pierre-Louis Curien, Alen Ðurić, Yves Guiraud. 2021-07-01. Coherent presentations of monoids with a right-noetherian Garside family. https://arxiv.org/abs/2107.00498

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