Finite derivation type for semilattices of semigroups

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In this paper we investigate how the combinatorial property Finite derivation type (FDT) is preserved in a semilattice of semigroups. We prove that if S = S[Y; S_y] is a semilattice of semigroups such that Y is finite and each S_y(y in Y ) has FDT, then S has FDT. As a consequence we can show that a strong semilattice of semigroups S[Y; S_y; ¸\phi_¯] has FDT if and only if Y is finite and every semigroup S_y (y in Y ) has FDT.
Original languageUnknown
Pages (from-to)515-526
JournalSemigroup Forum
Issue number3
Publication statusPublished - 1 Jan 2012

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