%0 Journal Article %T A Presentation for the Dual Symmetric Inverse Monoid %A David Easdown %A James East %A D. G. FitzGerald %J Mathematics %D 2007 %I arXiv %X The dual symmetric inverse monoid $\mathscr{I}_n^*$ is the inverse monoid of all isomorphisms between quotients of an $n$-set. We give a monoid presentation of $\mathscr{I}_n^*$ and, along the way, establish criteria for a monoid to be inverse when it is generated by completely regular elements. %U http://arxiv.org/abs/0707.2439v1