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arXiv · 1512.01021

Some reducibility properties for pseudovarieties of the form DRH

Célia Borlido
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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.

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Célia Borlido. 2015-12-03. Some reducibility properties for pseudovarieties of the form DRH. https://arxiv.org/abs/1512.01021

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