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Title: The cardinal of various monoids of transformations that preserve a uniform partition
Authors: Fernandes, Vítor H.
Quinteiro, Teresa M.
Keywords: Order-preserving/reversing
Issue Date: 30-Jul-2010
Publisher: School of Mathematical Sciences
Abstract: In this paper we give formulas for the number of elements of the monoids OR mxn of all full transformations on a nite chain with mn elements that preserve a uniform m-partition and preserve or reverse the orientation and for its submonoids OD mxn of all order-preserving or order-reversing elements, OP mxn of all orientation- preserving elements, O mxn of all order-preserving elements, O+ mxn of all extensive order-preserving elements and O- mxn of all co-extensive order-preserving elements.
Description: Bulletin of the Malaysian Mathematical Sciences Society
ISSN: 0126-6705
Appears in Collections:FCT: DM - Artigos em revista internacional com arbitragem científica

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