On SAS-Injective Rings

Authors

  • Heba Hadi Chyad Mathematical Department/ Educational College/ University of Al-Qadisiyah/ Al-Diwaniya City/ Iraq
  • Akeel Ramadan Mehdi Mathematical Department/ Educational College/ University of Al-Qadisiyah/ Al-Diwaniya City/ Iraq https://orcid.org/0000-0003-1077-6489

DOI:

https://doi.org/10.24996/ijs.2024.65.7.34

Keywords:

SAS-injective ring, Finitely generated module, Injective ring, Semiartinian module, Small submodule

Abstract

    Let  be a ring. A right -module  is called SAS- -injective (where  is any right -module) if every right -homomorphism from a semiartinian small right submodule of  into  extends to . A ring  is called right SAS-injective if  is SAS- -injective module. Right SAS-injective rings are studied in this paper. Many characterizations and properties of this type of  rings are obtained.

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Published

2024-07-30

Issue

Section

Mathematics

How to Cite

On SAS-Injective Rings. (2024). Iraqi Journal of Science, 65(7), 3967-3974. https://doi.org/10.24996/ijs.2024.65.7.34

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