Ockham algebras with pseudocomplementation

The variety pO consists of those algebras (L; boolean AND, boolean OR, f*, 0, 1) of type (2, 2, 1, 1, 0, 0) where (L; boolean AND, boolean OR, f, 0, 1) is an Ockham algebra, (L; boolean AND, boolean OR, 0, 1) is a p-algebra, and the unary operations f and * commute. We describe completely the structure of the subdirectly irreducible algebras that belong to the subclass pK(1,1), characterised by the property f(3) = f.