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Idempotent depth in semigroups of order-preserving mappings

Published online by Cambridge University Press:  14 November 2011

Peter M. Higgins
Peter M. Higgins
Affiliation:
Department of Mathematics, University of Essex, Wivenhoe Park, Colchester CO4 3SQ, U.K.
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Extract

We introduce algorithms for calculating minimum length factorisations of order-preserving mappings on a finite chain into products of idempotents, and into products of idempotents of defect one. The least upper bounds for these lengths are given.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 124 , Issue 5 , 1994 , pp. 1045 - 1058
Copyright
Copyright © Royal Society of Edinburgh 1994

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