  The main two families of real hypersurfaces in complex space forms are Hopf
and ruled. However, very little is known about real hypersurfaces in the
indefinite complex projective space $\mathbb{C}P^n_p$. In a previous work,
Kimura and the second author introduced Hopf real hypersurfaces in
$\mathbb{C}P^n_p$. In this paper, ruled real hypersurfaces in the indefinite
complex projective space are introduced, as those whose maximal holomorphic
distribution is integrable, and such that the leaves are totally geodesic
holomorphic hyperplanes. A detailed description of the shape operator is
computed, obtaining two main different families. A method of construction is
exhibited, by gluing in a suitable way totally geodesic holomorphic hyperplanes
along a non-null curve. Next, the classification of all minimal ruled real
hypersurfaces is obtained, in terms of three main families of curves, namely
geodesics, totally real circles and a third case which is not a Frenet curve,
but can be explicitly computed. Four examples are described.
