Some operators that preserve the locality of a pseudovariety of semigroups

Published 28 Dec 2011 in math.GR | (1112.6120v2)

Abstract: 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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