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THE IDEMPOTENT-GENERATED SUBSEMIGROUP OF THE KAUFFMAN MONOID

Part of: Algebraic combinatorics Semigroups

Published online by Cambridge University Press:  01 March 2017

IGOR DOLINKA  and
JAMES EAST
IGOR DOLINKA
Affiliation:
Department of Mathematics and Informatics, University of Novi Sad, Trg Dositeja Obradovića 4, 21101 Novi Sad, Serbia e-mail: dockie@dmi.uns.ac.rs
JAMES EAST
Affiliation:
Centre for Research in Mathematics, School of Computing, Engineering and Mathematics, Western Sydney University, Locked Bag 1797, Penrith NSW 2751, Australia e-mail: J.East@WesternSydney.edu.au
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Abstract

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We 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.

MSC classification

Primary: 20M20: Semigroups of transformations, etc.
Secondary: 20M05: Free semigroups, generators and relations, word problems 05E15: Combinatorial aspects of groups and algebras
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 59 , Issue 3 , September 2017 , pp. 673 - 683
Copyright
Copyright © Glasgow Mathematical Journal Trust 2017 

References

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