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)

Section

Algebra

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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