Abstract
Chen established the relationship between the Ricci curvature and the squared norm of mean curvature vector for submanifolds of Riemannian space form with arbitrary codimension known as Chen-Ricci inequality. Deng improved the inequality for Lagrangian submanifolds in complex space form by using algebraic technique. In this paper, we establish the same inequalities for different submanifolds of Bochner-Kaehler manifolds. Moreover, we obtain improved Chen-Ricci inequality for Kaehlerian slant submanifolds of Bochner-Kaehler manifolds.