A presentation of the dual symmetric inverse monoid

Easdown, David and East, James and FitzGerald, D.G. (2007) A presentation of the dual symmetric inverse monoid. Int J Algebr Comp . (Submitted)

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Abstract

The dual symmetric inverse monoid is the inverse monoid of all isomorphisms between quotients of an n-set. We give a monoid presentation of the dual symmetric inverse monoid and, along the way, establish criteria for a monoid to be inverse when it is generated by completely regular elements.

Item Type:	Article
Additional Information:	Submitted.
Keywords:	inverse monoid, generators and relations, completely regular elements
Subjects:	230000 Mathematical Sciences > 230100 Mathematics > 230105 Group Theory And Generalisations (Incl. Topological Groups And Lie Groups)
ID Code:	1458
Deposited By:	Dr D. G. FitzGerald
Deposited On:	26 Jul 2007
Last Modified:	09 Jan 2008 02:30
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