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arxiv: 1112.6120 · v2 · pith:24SC3A3Lnew · submitted 2011-12-28 · 🧮 math.GR

Some operators that preserve the locality of a pseudovariety of semigroups

classification 🧮 math.GR
keywords operatorslocalpseudovarietysemigroupsconsideredforminterplaylocality
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It is shown that if V is a local monoidal pseudovariety of semigroups, then K(m)V, D(m)V and LI(m)V are local. Other operators of the form Z(m)(_) are considered. In the process, results about the interplay between operators Z(m)(_) and (_)*D_k are obtained.

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