2015/12/03 by Borlido, Célia
#20M05 (Secondary) #20M07 (Primary) #FOS: Mathematics #Group Theory (math.GR)
paper · doi:10.48550/arxiv.1512.01021
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.