Finite derivation type for large ideals

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Abstract

In this paper we give a partial answer to the following question: does a large subsemigroup of a semigroup S with the finite combinatorial property finite derivation type (FDT) also have the same property? A positive answer is given for large ideals. As a consequence of this statement we prove that, given a finitely presented Rees matrix semigroup M[S; I, J; P], the semigroup S has FDT if and only if so does M[S; I, J; P].
Original languageUnknown
Pages (from-to)450-485
JournalSemigroup Forum
Volume78
Issue number3
DOIs
Publication statusPublished - 1 Jan 2009

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