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Publication details

Document type
Journal articles

Document subtype
Full paper

Title
The cardinal and the idempotent number of various monoids of transformations on a finite chain

Participants in the publication
Vítor H. Fernandes (Author)
Gracinda M. S. Gomes (Author)
Dep. Matemática
 CEMAT
 Manuel M. Jesus (Author)

Summary
We consider various classes of monoids of transformations on a finite chain, in particular transformations that preserve or reverse either the order or the orientation. Being finite monoids we are naturally interested in computing both their cardinals and the number of their idempotents. In this note we present a short survey on these questions which have been approached by various authors and close the problem by computing the number of idempotents of those monoids not considered before. Fibonacci and Lucas numbers play an essential role in the last computations.

Date of Publication
2011

Where published
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY. SECOND SERIES

Publication Identifiers
ISSN - 0024-6093

Volume
34
Number
1

Starting page
79
Last page
85


Export

APA
Vítor H. Fernandes, Gracinda M. S. Gomes, Manuel M. Jesus, (2011). The cardinal and the idempotent number of various monoids of transformations on a finite chain. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY. SECOND SERIES, 34, 79-85. ISSN 0024-6093. eISSN .

IEEE
Vítor H. Fernandes, Gracinda M. S. Gomes, Manuel M. Jesus, "The cardinal and the idempotent number of various monoids of transformations on a finite chain" in BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY. SECOND SERIES, vol. 34, pp. 79-85, 2011.

BIBTEX
@article{1610, author = {Vítor H. Fernandes and Gracinda M. S. Gomes and Manuel M. Jesus}, title = {The cardinal and the idempotent number of various monoids of transformations on a finite chain}, journal = {BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY. SECOND SERIES}, year = 2011, pages = {79-85}, volume = 34 }