  A. Baker has constructed certain sequences of cohomology theories which
interpolate between the Johnson-Wilson and the Morava K-theories. We realize
the representing sequences of spectra as sequences of MU-algebras. Starting
with the fact that the spectra representing the Johnson-Wilson and the Morava
K-theories admit such structures, we construct the sequences by inductively
forming singular extensions. Our methods apply to other pairs of MU-algebras as
well.
