Generalised Existence Varieties of Regular Semigroups
J. D. Rodgers · Communications in Algebra · 2013
In this article we introduce the concept of a generalised existence variety of regular semigroups. This concept is analogous to that of a generalised variety of algebras of fixed finite type. We show that for regular semigroups that are E-solid or locally inverse, generalised existence varieties provide a link between e-varieties and e-pseudovarieties. Other results concerning e-varieties and e-pseudovarieties can then be obtained.