Abstract
Let M be a lattice module over the multiplicative lattice L. A nonzero L-lattice module M is called second if for each a ∈ L, a1M = 1M or a1M = 0M . A nonzero L-lattice module M is called secondary if for each a ∈ L, a1M = 1M or a(n)1M = 0 M for some n > 0. Our objective is to investigative properties of second and secondary lattice modules.