On completely prime submodules

@article{Ssevviiri2016OnCP,
  title={On completely prime submodules},
  author={D. Ssevviiri},
  journal={arXiv: Rings and Algebras},
  year={2016}
}
  • D. Ssevviiri
  • Published 2016
  • Mathematics
  • arXiv: Rings and Algebras
The formal study of completely prime modules was initiated by N. J. Groenewald and the current author in the paper; Completely prime submodules, {\it Int. Elect. J. Algebra}, {\bf 13}, (2013), 1--14. In this paper, the study of completely prime modules is continued. Firstly, the advantage completely prime modules have over prime modules is highlited and different situations that lead to completely prime modules given. Later, emphasis is put on fully completely prime modules, (i.e., modules… Expand
Classical completely prime submodules
Nilpotent elements control the structure of a module

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Classical completely prime submodules
A Note on Prime Modules Una Nota sobre Módulos Primos
Modules Whose Certain Submodules Are Prime
The strongly prime radical
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