Strongly Prime Near-Ring Modules

Abstract

We introduce the notion of a strongly prime near-ring module and then characterize strongly prime near-rings in terms of strongly prime modules. Furthermore, we define a \({\mathcal{T}}\)-special class of near-ring modules and then show that the class of strongly prime modules forms a \({\mathcal{T}}\)-special class. \({\mathcal{T}}\)-special classes of strongly prime modules are then used to describe the strongly prime radical.