Weakly Secondary Submodules
Journal of Al-Qadisiyah for Computer Science and Mathematics,
Volume 11, Issue 3, Pages 50-59
AbstractLet 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.
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