- Citation:
- Fernandes, Vítor H. "On the monoid of order-preserving transformations of a finite chain whose ranges are intervals." Semigroup Forum (DOI 10.1007/10.1007/s00233-024-10466-2; Online 19 Aug 2024). 109.2 (2024): 336-346.

### Abstract:

In this note we give a presentation for the monoid IO_n of all order-preserving transformations of a n-chain whose ranges are intervals. We also consider the submonoid IO_n^- of IO_n consisting of order-decreasing transformations, for which we determine the cardinality, the rank and a presentation.

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