Distances between factorizations in the Chicken McNugget monoid
Scott Chapman, Pedro Garcia-Sanchez, and Christopher O'Neill
TL;DR
This paper investigates the factorization properties of the Chicken McNugget monoid, focusing on relations, chains, and specific degrees to understand its algebraic structure.
Contribution
It provides a detailed analysis of the catenary and tame degrees within the Chicken McNugget monoid, highlighting new insights into its factorization behavior.
Findings
Analysis of catenary degree reveals its bounds in the monoid.
Tame degree characterization provides new understanding of factorization chains.
Demonstrates the monoid's properties through specific examples.
Abstract
We use the Chicken McNugget monoid to demonstrate various factorization properties related to relations and chains of factorizations. We study in depth the catenary and tame degrees of this monoid.
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