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On divisors of semigroups of order-preserving mappings of a finite chain

TítuloOn divisors of semigroups of order-preserving mappings of a finite chain
Publication TypeUnpublished
Year of Publication2009
AuthorsFernandes VH, Volkov MV
Series TitlePreprint
AbstractLet a finite semilattice S be a chain under its natural order. We show that if a semigroup T divides a semigroup of full order preserving transformations of a finite chain, then so does any semidirect product of S by T.
URLhttp://www.dm.fct.unl.pt/sites/www.dm.fct.unl.pt/files/preprints/2009/15_09.pdf