The idempotent generated subsemigroup of the Kauffman monoid

Abstract

We characterise the elements of the (maximum) idempotent generated subsemigroup of the Kauffman monoid in terms of combinatorial data associated to certain normal forms. We also calculate the smallest size of a generating set and idempotent generating set.

10 pages, 1 figure; v2 incorporates referee's suggestions (to appear in Glasgow Math J)

References in corpus (2)

• Motzkin monoids and partial Brauer monoids
• Twisted Brauer monoids

Cited by in corpus (1)

• Identities of the Kauffman Monoid ${\mathcal{K}}_3$