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Orientador(es)
Resumo(s)
In this note we consider the monoid PODIn of all monotone partial permutations on {1,....,n} and its submonoids DPn, POIn and ODPn of all partial isometries, of all order-preserving partial permutations and of all order-preserving partial isometries, respectively. We prove that both the monoids POIn and ODPn are quotients of bilateral semidirect products of two of their remarkable submonoids, namely of extensive and of co-extensive transformations. Moreover, we show that PODIn is a quotient of a semidirect product of POIn and the group C-2 of order two and, analogously, DPn is a quotient of a semidirect product of ODPn and C-2.
Descrição
Palavras-chave
Transformations Partial isometries Order-preserving Semidirect products Pseudovarieties
Contexto Educativo
Citação
FERNANDES, Vítor Hugo; QUINTEIRO, Teresa M. – A note on bilateral semidirect product decompositions of some monoids of order-preserving partial permutations. Bulletin of the Korean Mathematical Society. ISSN 1015-8634. Vol. 53, N.º 2 (2016), pp. 495-506
Editora
Korean Mathematical Society