Abstract
Let POn be the semigroup of all order-preserving partial transformations of a finite chain. It is shown that there exist bijections between the set of certain lattice paths in the Cartesian plane that start at (0,0), end at (n - 1,n - 1), and.certain subsemigroups of POn. Several consequences of these bijections were discussed.
| Original language | English |
|---|---|
| Pages (from-to) | 23-36 |
| Number of pages | 14 |
| Journal | Utilitas Mathematica |
| Volume | 101 |
| Publication status | Published - 2016 |
| Externally published | Yes |
ASJC Scopus subject areas
- Statistics and Probability
- Statistics, Probability and Uncertainty
- Applied Mathematics