An asymmetric generalisation of Artin monoids
Daan Krammer
TL;DR
This paper introduces a modified version of Artin and Coxeter monoids, exploring an infinite series within this new framework to understand their properties better.
Contribution
It presents a novel asymmetric generalization of Artin monoids and investigates an infinite series case, expanding the theoretical landscape.
Findings
New asymmetric generalization of Artin monoids
Detailed analysis of an infinite series case
Insights into the structure of generalized monoids
Abstract
We propose a slight weakening of the definitions of Artin monoids and Coxeter monoids. We study one `infinite series' in detail.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · semigroups and automata theory · Mathematical Dynamics and Fractals