$\mathcal{Z}$-symmetries of $(ϵ)$-para-Sasakian 3-manifolds

The object of this paper is study $(ϵ)$-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 $(ϵ)$-para-Sasakian 3-manifold.