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PRESENTATION FOR RENNER MONOIDS

Part of: Semigroups

Published online by Cambridge University Press:  22 June 2010

EDDY GODELLE
EDDY GODELLE*
Affiliation:
Université de Caen, Laboratoire de mathématique Nicolas Oresme, 14032 Caen Cedex, France (email: eddy.godelle@math.unicaen.fr)
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Abstract

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We extend the result obtained in E. Godelle [‘The braid rook monoid’, Internat. J. Algebra Comput.18 (2008), 779–802] to every Renner monoid: we provide a monoid presentation for Renner monoids, and we introduce a length function which extends the Coxeter length function and which behaves nicely.

Keywords

Renner monoidsregular algebraic monoids

MSC classification

Secondary: 20M17: Regular semigroups
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 83 , Issue 1 , February 2011 , pp. 30 - 45
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2010

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