\(\pi\)-inverse semigroups whose lattice of \(\pi\)-inverse subsemigroups is \(0\)-distributive or \(0\)-modular
This paper studies the substructure lattice of a class of eventually regular semigroups: namely, those eventually regular semigroups with the property that every regular element has a unique inverse. These are the \(\pi\)-inverse semigroups of the title. Those \(\pi\)-inverse semigroups are characterised whose substructure lattices are 0-distributive or 0-modular.
scientific article; zbMATH DE number 1156726