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A PRESENTATION OF THE DUAL SYMMETRIC INVERSE MONOID

A PRESENTATION OF THE DUAL SYMMETRIC INVERSE MONOID

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