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Detalhes Referência

Tipo
Artigos em Revista

Tipo de Documento
Artigo Completo

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

Participantes na publicação
Vítor H. Fernandes (Author)
Gracinda M. S. Gomes (Author)
Dep. Matemática
 CEMAT
 Manuel M. Jesus (Author)

Resumo
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.

Data de Publicação
2011

Suporte
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY. SECOND SERIES

Identificadores da Publicação
ISSN - 0024-6093

Volume
34
Fascículo
1

Página Inicial
79
Página Final
85


Exportar referência

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 }