  We discuss the decomposition of degree two basic cohomology for codimension
four taut Riemannian foliation according to the holonomy invariant transversal
almost complex structure J, and show that J is C pure and full. In addition, we
obtain an estimate of the dimension of basic J-anti-invariant subgroup. These
are the foliated version for the corresponding results of T. Draghici et al.
