Some pseudovariety joins involving locally trivial semigroups and groups

Abstract

In this paper, we present the computation of some pseudovariety joins of the form LI v H v V where LI is the pseudovariety of locally trivial semigroups and H is any pseudovariety of groups. Similar results are obtained for the pseudovarieties K, of semigroups in which idempotents are left zeros, and its dual D, in the place of LI.