%0 Journal Article
%T Some reducibility properties for pseudovarieties of the form DRH
%A C¨Ślia Borlido
%J Mathematics
%D 2015
%I arXiv
%X Let 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 join W, and V malcev W.
%U http://arxiv.org/abs/1512.01021v1