On characterizations of completely regular ordered semigroups (Q815185)

The paper characterizes the completely regular \(poe\)-semigroups in terms of \(B\)-simple semigroups. The main result of the paper is that a \(poe\)-semigroup \(S\) is completely regular if and only if it is a union of disjoint \(B\)-simple subsemigroups, equivalently, a union of \(B\)-simple subsemigroups of \(S\). There are some mistakes in the paper concerning the references, some concepts have been defined much earlier, some references are missing, etc. For Lemma 1.5, for example, the author should refer to [\textit{N. Kehayopulu}, Math. Jap. 35, No. 6, 1051--1056 (1990; Zbl 0717.06006)] instead of [7].