Strong Essential Submodules And Strong Uniform Modules | ||
| Tikrit Journal of Pure Science | ||
| Article 1, Volume 21, Issue 1, January 2016, Pages 112-117 | ||
| Author | ||
| Nada Khalid Abdullah | ||
| 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; Uniform modules; Uniform module | ||
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