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

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Abstract

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 Sa < ST where S is a finite semilattice whose natural order makes S a chain.
Original languageUnknown
Pages (from-to)551-554
JournalSemigroup Forum
Volume81
Issue number3
DOIs
Publication statusPublished - 1 Jan 2010

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