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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.
Keywords: order-preserving transformations
equivalence-preserving transformations
Issue Date: 29-Jul-2009
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
ISSN: 0092-7872
Appears in Collections:FCT: DM - Artigos em revista internacional com arbitragem científica

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