Fernandes, Vítor H.Quinteiro, Teresa M.2012-10-292012-10-292012Fernandes V H, Quinteiro T M. The Cardinal of Various Monoids of Transformations That Preserve a Uniform Partition. Bulletin of the Malaysial Mathematical Sciences Society. 2012; 4 (35): 885-896.0126-6705http://hdl.handle.net/10400.21/1849In this paper we give formulas for the number of elements of the monoids ORm x n of all full transformations on it finite chain with tun elements that preserve it uniform m-partition and preserve or reverse the orientation and for its submonoids ODm x n of all order-preserving or order-reversing elements, OPm x n of all orientation-preserving elements, O-m x n of all order-preserving elements, O-m x n(+) of all extensive order-preserving elements and O-m x n(-) of all co-extensive order-preserving elements.engOrder-Preserving/ReversingOrientation-Preserving/ReversingExtensiveEquivalence-PreservingTransformationsFinite ChainSemidirect ProductsGreens RelationsSemigroupsOrderOrientationMappingsEquivalenceIdempotentRegularityjournal article