Abstract
ABSTRACTLet H be a pseudovariety of groups and DRH be the pseudovariety containing all finite semigroups whose regular ℛ-classes belong to H. We study the relationship between reducibility of H and of DRH with respect to several particular classes of systems of equations. The classes of systems considered (of pointlike, idempotent pointlike and graph equations) are known to play a role in decidability questions concerning pseudovarieties of the forms V∗W, V∨W, and V W.
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