Positive singular Artin monoids inject into their singular Artin monoids

Noelle Antony

Abstract

Paris proved that all Artin monoids inject in their groups. We invoke this result to show that all positive singular Artin monoids embed into their corresponding singular Artin monoids, extending a result of Corran's.

Keywords: Singular Artin monoids.

AMS Subject Classification: Primary 20M05; secondary 20M30, 20F36.