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On the monoids of transformations that preserve the order and a uniform partition
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Orientador(es)
Resumo(s)
In this paper we consider the monoid O mxn of all order-preserving full transformations on a chain with mn elements that preserve a uniform m-partition and its submonoids O+ mxn and O− mxn of all extensive
transformations and of all co-extensive transformations, respectively. We give formulas for the number of elements of these monoids and determine their ranks. Moreover, we construct a bilateral semidirect product
decomposition of Omxn in terms of O− mxn and O+ mxn.
Descrição
Communications in Algebra
Palavras-chave
order-preserving transformations equivalence-preserving transformations
Contexto Educativo
Citação
Editora
Taylor & Francis