Abstract
The partial transformation semigroup PTn is the semigroup of all partial transformations on the finite set n = {1, . . . ,n}. The transformation semigroup Tn ⊆ PTn and the symmetric group Sn ⊆ Tn consist of all (full) transformations on n and permutations on n, respectively. We obtain presentations, in terms of generators and relations, for the singular subsemigroups PTnSn and PTnTn. We also calculate the ranks of both subsemigroups.
| Original language | English |
|---|---|
| Pages (from-to) | 1-25 |
| Number of pages | 25 |
| Journal | International Journal of Algebra and Computation |
| Volume | 20 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2010 |
Keywords
- semigroup algebras
- transformations (mathematics)