On Slightly Compressible-Injective Modules

Authors

  • Nguyen Dang Hoa Nghiem Chulalongkorn University
  • Phatsarapa Janmuang Chulalongkorn University
  • Samruam Baupradist Chulalongkorn University
  • Ronnason Chinram Prince of Songkla University https://orcid.org/0000-0002-6113-3689

DOI:

https://doi.org/10.29020/nybg.ejpam.v11i3.3291

Keywords:

M-slightly compressible modules, M-slightly compressible-injective modules, quasi-slightly compressible-injective modules

Abstract

In this paper, we introduce the concept of slightly compressible-injective modules, following this, a right R-module N is called an M-slightly compressible-injective module, if every R-homomorphism from a non-zero M-slightly compressible submodule of M to N can be extended to M. We give some characterizations and properties of slightly compressible-injective modules.

Author Biographies

  • Nguyen Dang Hoa Nghiem, Chulalongkorn University
    Department of Mathematics and Computer Science
  • Phatsarapa Janmuang, Chulalongkorn University
    Department of Mathematics and Computer Science
  • Samruam Baupradist, Chulalongkorn University
    Department of Mathematics and Computer Science
  • Ronnason Chinram, Prince of Songkla University
    Department of Mathematics and Statistics

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Published

2018-07-31

Issue

Vol. 11 No. 3: (July 2018)

License

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

How to Cite

On Slightly Compressible-Injective Modules. (2018). European Journal of Pure and Applied Mathematics, 11(3), 815-822. https://doi.org/10.29020/nybg.ejpam.v11i3.3291