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Hollow Modules With Respect to an Arbitrary Submodule | ||
| Iraqi Journal of Science | ||
| Article 1, Volume 58, Issue 2, 2018, Pages 694-698 | ||
| Authors | ||
| B. H. Al-Bahrani; H. S. Al-Redeeni | ||
| Abstract | ||
| In this paper ,we introduce hollow modules with respect to an arbitrary submodule .Let M be a non-zero module and T be a submodule of M .We say that M is aT-hollow module if every proper submodule K of M such that T ⊈ K is a T-small submodule of M .We investigate the basic properties of a T-hollow module . | ||
| Keywords | ||
| small submodule; maximal submodule; radical submodule | ||
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