SEPARATION AXIOMS BETWEEN \(T_{0}\) AND \(T_{1}\) ON LATTICES AND LATTICE MODULES

Abstract

In this study, we characterize the lattices and lattice modules whose prime spectrum satisfy some of the separation axioms between T₀ and T₁.  This characterizations are the notion of pm—lattice, m—lattice, ε—lattice, e.t.c.  Similarly, this characterizations are the notion of PM—lattice module, μ—lattice module, ε—lattice module, etc.