Skew Injective Modules Relative to Torsion Theories

Authors

  • Mohanad Farhan Hamid College of Science, University of Mustansiriya, Baghdad
  • Mehdi Sadik Abbas College of Science, University of Mustansiriya, Baghdad

DOI:

https://doi.org/10.24297/jam.v9i2.2408

Keywords:

Torsion theory, skew injective module.

Abstract

The purpose of this paper is to extend results about skew injective modules to a torsion theoretic setting. Given a
hereditary torsion theory t a module M is called t-skew injective if all endomorphisms of t -dense submodules of M can be extended to endomorphismsof M. A characterization of t skew injectivity using split short exact sequences is given.

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Author Biographies

  • Mohanad Farhan Hamid, College of Science, University of Mustansiriya, Baghdad
    Department of Mathematics
  • Mehdi Sadik Abbas, College of Science, University of Mustansiriya, Baghdad
    Department of Mathematics
JOURNAL OF ADVANCES IN MATHEMATICS

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Published

2014-07-14

Issue

Vol. 9 No. 2 (2014)

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

Skew Injective Modules Relative to Torsion Theories. (2014). JOURNAL OF ADVANCES IN MATHEMATICS, 9(2), 1925-1930. https://doi.org/10.24297/jam.v9i2.2408