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arXiv · 0707.2439

A Presentation for the Dual Symmetric Inverse Monoid

David Easdown·James East·D. G. FitzGerald
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Abstract

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.

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David Easdown, James East, D. G. FitzGerald. 2007-07-17. A Presentation for the Dual Symmetric Inverse Monoid. https://arxiv.org/abs/0707.2439

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