Abstract
The (full) transformation semigroup Tn is the semigroup of all functions from the finite set {1, . . . , n} to itself, under the operation of composition. The symmetric group Sn ⊆ Tn is the group of all permutations on {1, . . . , n} and is the group of units of Tn. The complement Tn Sn is a subsemigroup (indeed an ideal) of Tn. In this article we give a presentation, in terms of generators and relations, for Tn Sn, the so-called singular part of Tn.
| Original language | English |
|---|---|
| Pages (from-to) | 357-379 |
| Number of pages | 23 |
| Journal | Semigroup Forum |
| Volume | 81 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2010 |
Keywords
- semigroups
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