A cancellativity criterion for presented monoids
Year: 2018
Type: preprint
Abstract: We establish a new, fairly general cancellativity criterion for a presented monoid that properly extends the previously known related criteria. It is based on a new version of the word transformation called factor reversing, and its specificity is to avoid any restriction on the number of relations in the presentation. As an application, we deduce the cancellativity of some natural extension of Artin's braid monoid in which crossings are colored.
Source: arXiv (Cornell University)
Author: Dehornoy, Patrick
Institution: Laboratoire de Mathématiques Nicolas Oresme
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4299707084