Separation axioms between t0 and t1 on lattices and lattice modules

In this study, we characterize the lattices and lattice modules whose prime spectrum satisfy some of the separation axioms between T0 and T1. This characteriza-Tions are the notion of pm¡lattice, m¡lattice, "¡lattice, e.t.c. Similarly, this charac-Terizations are the notion of PM¡lattice module, ¡lattice module, "¡lattice module, etc