A Presentation for the Dual Symmetric Inverse Monoid

Details A Presentation for the Dual Symmetric Inverse Monoid A Presentation for the Dual Symmetric Inverse Monoid

2007-07-17

arxiv.org/abs/0707.2439v1

Mathematics

Group Theory

21 pp., 6 figures, 2 tables, 7 refs

Scientific paper

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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