SEPARATION AXIOMS BETWEEN T0 AND T1 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 T-0 and T-1. This characterizations are the notion of pm-lattice, m-lattice, epsilon-lattice, e.t.c. Similarly, this characterizations are the notion of PM-lattice module, mu-lattice module, epsilon-lattice module, etc.