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Weakly Secondary Submodules | ||
| Journal of Al-Qadisiyah for Computer Science and Mathematics | ||
| Article 1, Volume 11, Issue 3, 2019, Pages 50-59 PDF (0 K) | ||
| Authors | ||
| Ghaleb Ahmed; Zainab Saadi | ||
| Abstract | ||
| Let M be a non-zero right module over a ring R with an identity. The weakly secondary submodule is introduced in this paper. A non-zero submodule N of M is weakly secondary submodule when Nab⊆K, where a, b∈R and K is a submodule of M implies either Na⊆K or Nb^t⊆ K for some positive integer t. Some relationships between this class of modules and other related modules are discussed and number of conclusions and characterizations are obtained. | ||
| Keywords | ||
| weakly secondary submodules; weakly second submodules; second submodules; secondary submodules | ||
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