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A presentation of the dual symmetric inverse monoid

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Easdown, D, East, J and FitzGerald, DG 2007 , 'A presentation of the dual symmetric inverse monoid' , Int J Algebr Comp .

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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
Authors/Creators:Easdown, D and East, J and FitzGerald, DG
Keywords: inverse monoid, generators and relations, completely regular elements
Journal or Publication Title: Int J Algebr Comp
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