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FI-Hollow-Lifting Modules | ||
| Al-Mustansiriyah Journal of Science | ||
| Article 1, Volume 24, Issue 5, 2013, Pages 293-306 | ||
| Author | ||
| Saad A. Alsaadi | ||
| Abstract | ||
| In this paper, we introduce and study the concept of FI-hollow-lifting modules which is a proper generalization of hollow-lifting modules. We say M called a fully invariant hollow-lifting module (or briefly FI-hollow lifting) if every fully invariant submodule N of M with M/N is hollow has coessential submodule that is a direct summand of M . Many characterizations and properties of FI-hollow-lifting modules are given. Unlike lifting modules and hollow –lifting modules, we prove a finite direct sum of FI-hollow lifting modules is FI-hollow-lifting | ||
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