Some reducibility properties for pseudovarieties of the form DRH

Célia Borlido
2017 Communications in Algebra  
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 ∨ W, and V m W.
doi:10.1080/00927872.2017.1360328 fatcat:s5sjq5mp6jcktc7pmgzhczth6e