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|Title:||On the monoids of transformations that preserve the order and a uniform partition|
|Author:||Fernandes, Vítor H.|
Quinteiro, Teresa M.
|Publisher:||Taylor & Francis|
|Abstract:||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.|
|Description:||Communications in Algebra|
|Appears in Collections:||FCT: DM - Artigos em revista internacional com arbitragem científica|
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