THE IDEMPOTENT-GENERATED SUBSEMIGROUP OF THE KAUFFMAN MONOID

Author:

DOLINKA IGOR,EAST JAMES

Abstract

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

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference20 articles.

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3. I. Dolinka , J. East , A. Evangelou , D. FitzGerald , N. Ham , J. Hyde and N. Loughlin , Idempotent statistics of the Motzkin, Jones and Kauffman monoids, Preprint, 2015, arXiv:1507.04838.

4. Ideal Structure of the Kauffman and Related Monoids

5. I. Dolinka and J. East , Twisted Brauer monoids, to appear in Proceedings of the Royal Society of Edinburgh Section A: Mathematics, arXiv:1510.08666.

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