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Rationally Extending Modules and Strongly Quasi-Monoform Modules | ||
| Al-Mustansiriyah Journal of Science | ||
| Article 1, Volume 22, Issue 3, 2011, Pages 31-38 | ||
| Author | ||
| Mahdi S. Abbas | ||
| Abstract | ||
| An R-module M is called rationally extending if each submodule of M is rational in a direct summand of M. In this paper we study this class of modules which is contained in the class of extending modules, Also we consider the class of strongly quasi-monoform modules, an R-module M is called strongly quasi-monoform if every nonzero proper submodule of M is quasi-invertible relative to some direct summand of M. Conditions are investigated to identify between these classes. Several properties are considered for such modules. | ||
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