On SAS-Injective Rings

Heba Hadi  Chyad; Akeel Ramadan  Mehdi

doi:10.24996/ijs.2024.65.7.%g

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.%25g

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.