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Semi-Essential Submodules and Semi-Uniform Modules | ||
| Kirkuk Journal of Science | ||
| Article 1, Volume 4, Issue 1, 2009, Pages 48-58 PDF (0 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.32894/kujss.2009.40796 | ||
| Authors | ||
| Ali S. Mijbass1; Nada K. Abdullah2 | ||
| 1Science college-Tikrit University | ||
| 2Education College-Tikrit University | ||
| Abstract | ||
| 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. | ||
| Keywords | ||
| semi; Essential; Submodules; Uniform; Modules | ||
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