Defining relations for idempotent generators in finite full transformation semigroups |
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| Authors: | James East |
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| Institution: | 1. School of Computing, Engineering and Mathematics, University of Western Sydney, Locked Bag 1797, Penrith, NSW, 2751, Australia
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| Abstract: | In 1966, John Howie showed that the semigroup $\mathcal{T}_{n}\setminus \mathcal{S}_{n}$ of all singular transformations on a n element set is generated by the set of all idempotent transformations of rank n?1. We give a presentation for $\mathcal{T}_{n}\setminus \mathcal{S}_{n}$ in terms of this generating set. |
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