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PRIME HOLLOW MODULES | ||
| Iraqi Journal of Science | ||
| Article 1, Volume 51, Issue 4, 2010, Pages 628-632 | ||
| Author | ||
| Muna A.Ahmed | ||
| Abstract | ||
| A non-zero module M is called hollow, if every proper submodule of M is small. In this work we introduce a generalization of this type of modules; we call it prime hollow modules. Some main properties of this kind of modules are investigated and the relation between these modules with hollow modules and some other modules are studied, such as semihollow, amply supplemented and lifting modules | ||
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