Prime, weakly prime and almost prime elements in multiplication lattice modules

Abstract

In this paper, we study multiplication lattice modules. We establish a new multiplication over elements of a multiplication lattice module.With this multiplication, we characterize idempotent element, prime element, weakly prime element and almost prime element in multiplication lattice modules.

Keywords

• multiplication lattice module
• prime element
• weakly prime element and almost prime element
• 16f10
• 16f05