Abstract
A gamma ring(Γ− ring) is ΓR-module and W is proper ΓR-submodule. Let W be a proper ΓR-submodule of an ΓR-module
is called nearly prime, for short N-P.ΓR-submodule if whenever
and rγ m ∈ W implies that either
or
where
is the Jacobson radical of
. The goal of this work is to offer an intriguing way of defining and studying nearly P.ΓR-submodule of ΓR-module, for short N-P.ΓR-submodule of ΓR-module result N-P.ΓR-submodule of ΓR-module which represent generalization N-prime submodules.
Subject Classification: