Strong Essential Submodules And Strong Uniform Modules
Abstract
A non-zero submodule K of an R-module M is called essential if K ∩ L ≠ (0) for each non-zero submodule L of M . And an R-module M is called uniform if each non-zero submodule of M is an essential . In this paper we give generalization of essential submodule and uniform module that are strong essential submodule and strong uniform module. A non-zero submodule N of M is called strong essential if N ∩ P ≠ (0) for each non-zero strongly prime submodule P of M . And an R-module M is called strong uniform if each non-zero submodule of M is a strong essential .
Keywords
Prime submodules, Strongly prime submodules, Essential submodules, Semi-Essential submodules, Uniform modules, Semi-Uniform moduleMetrics