RATIONALLY INJECTIVE MODULES

Authors

  • Mehdi Sadiq Abbas College of Science, University of Al-Mustansiriyah, Baghdad, Iraq
  • Mahdi Saleh Nayef College of education, University of Al-Mustansiriyah, Baghdad,Iraq

DOI:

https://doi.org/10.24297/jam.v10i5.1636

Keywords:

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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Author Biographies

  • Mehdi Sadiq Abbas, College of Science, University of Al-Mustansiriyah, Baghdad, Iraq
    Department of Mathematics
  • Mahdi Saleh Nayef, College of education, University of Al-Mustansiriyah, Baghdad,Iraq
    Department of Mathematics
JOURNAL OF ADVANCES IN MATHEMATICS

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Published

2015-05-02

Issue

Vol. 10 No. 5 (2015)

Section

Articles

License

Creative Commons License All articles published in Journal of Advances in Linguistics are licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

RATIONALLY INJECTIVE MODULES. (2015). JOURNAL OF ADVANCES IN MATHEMATICS, 10(5), 3479-3485. https://doi.org/10.24297/jam.v10i5.1636

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