 The logic \(\bPML\) is not protoalgebraic, it is not truth-equational, it is selfextensional and it is not Fregean. Its algebraic counterpart \(\bAlg \bPML\) is the class of positive modal algebras introduced by Dunn in Dunn 1995. The logic is studied in Jansana 2002 from the perspective of abstract algebraic logic. The class of algebras \(\bAlg\bPML\) is different from \(\bAlg^*\bPML\).