Some reducibility properties for pseudovarieties of the form DRH
Group Theory
2015-12-04 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1512.01021,
title = {Some reducibility properties for pseudovarieties of the form DRH},
author = {Célia Borlido},
journal= {arXiv preprint arXiv:1512.01021},
year = {2015}
}
Comments
26 pages