In this work,we give generalizations for the concepts essential submodule and uniform module.We call an R-submodule N of M semi-essential if N∩P≠0 for each nonzero prime R- submodule P of M, and we call an R- module M semi - uniform if every nonzero R-submodule N of M is semi-essential. Moreover, we generalize some properties of essential R-submodules to semi-essential R-submodules,and we generalize some properties of uniform R-modules to semi-uniform R-module. We also give conditions under them an R-submodule N of a multiplication R- module M becomes semi- essential. Furthermore, we give some conditions under them an R-module M satisfies ACC(DCC) on semi-essential R-submodules.
Mijbass,A S and Abdullah,N K . (2009). Semi-Essential Submodules and Semi-Uniform Modules. Kirkuk Journal of Science, 4(1), 48-58. doi: 10.32894/kujss.2009.40796
MLA
Mijbass,A S , and Abdullah,N K . "Semi-Essential Submodules and Semi-Uniform Modules", Kirkuk Journal of Science, 4, 1, 2009, 48-58. doi: 10.32894/kujss.2009.40796
HARVARD
Mijbass A S, Abdullah N K. (2009). 'Semi-Essential Submodules and Semi-Uniform Modules', Kirkuk Journal of Science, 4(1), pp. 48-58. doi: 10.32894/kujss.2009.40796
CHICAGO
A S Mijbass and N K Abdullah, "Semi-Essential Submodules and Semi-Uniform Modules," Kirkuk Journal of Science, 4 1 (2009): 48-58, doi: 10.32894/kujss.2009.40796
VANCOUVER
Mijbass A S, Abdullah N K. Semi-Essential Submodules and Semi-Uniform Modules. Kirkuk J. Sci.. 2009;4(1):48-58. doi: 10.32894/kujss.2009.40796
