The Cardinal and the Idempotent Number of Various Monoids of Transformations on a Finite Chain

The Cardinal and the Idempotent Number of Various Monoids of Transformations on a Finite Chain

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. Fi...

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Veröffentlicht in:Bulletin of the Malaysian Mathematical Sciences Society 2011-01, Vol.34 (1)
Hauptverfasser: Fernandes, tor H, Gomes, M S, Jesus, Manuel M
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
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Zusammenfassung: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. 2010 Mathematics Subject Classification: Primary: 20M17; Secondary: 20M20, 05A10.
ISSN:0126-6705
2180-4206