RATIONALLY INJECTIVE MODULES
DOI:
https://doi.org/10.24297/jam.v10i5.1636Keywords:
Injective modules, essentially injective modules, rational submodules, rationally injective modules.Abstract
In this work we introduce the concept of rationally injective module, which is a proper generalization of (essentially)-injective modules. Several properties and characterizations have been given. In part of this work, we find sufficient conditions for a direct sum of two rationally extending modules to be rationally extending. Finally we generalize some known results.
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Published
2015-05-02
How to Cite
Abbas, M. S., & Nayef, M. S. (2015). RATIONALLY INJECTIVE MODULES. JOURNAL OF ADVANCES IN MATHEMATICS, 10(5), 3479–3485. https://doi.org/10.24297/jam.v10i5.1636
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