  The object of this paper is study $(\epsilon)$-para-Sasakian 3-manifolds
satisfying certain conditions on the $\mathcal{Z}$ tensor. We characterize,
$\mathcal{Z}$-symmetric; $\mathcal{Z}$-semisymmetric;
$\mathcal{Z}$-pseudosymmetric; and projectively $\mathcal{Z}$-semisymmetric
conditions on an $(\epsilon)$-para-Sasakian 3-manifold.
