In this note we consider various classes of monoids of transformations on a finite chain, in particular of transformations that preserve or reverse either the order or the orientation. Being finite monoids we are naturally interested in computing both their cardinals and their idempotent numbers. Fibonacci and Lucas numbers play an essential role in the last computations.
|Journal||Bulletin Of The Malaysian Mathematical Sciences Society|
|Publication status||Published - 1 Jan 2011|