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Stable (quasi-) Continuous Modules | ||
| Al-Mustansiriyah Journal of Science | ||
| Article 1, Volume 24, Issue 5, 2013, Pages 83-92 | ||
| Author | ||
| Mehdi Sadik Abbas | ||
| Abstract | ||
| In this paper, we introduce and study stable (quasi)- continuous modules as a proper generalization of (quasi)- continuous modules. Many results and properties of stable (quasi-)continuous modules are obtained. An R-module M is strongly (quasi-)continuous if and only if M is cl-fully stable and M is stable (quasi-)continuous. We verify some properties well-known for continuous modules still hold under Stable continuous modules. For instance, a directly finite stable continuous module is cohophfian. | ||
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