@article{On A Generalization of Small-Injective Modules_2024, volume={65}, url={https://ijs.uobaghdad.edu.iq/index.php/eijs/article/view/9480}, DOI={10.24996/ijs.2024.65.5.24}, abstractNote={ Let R be a ring. JS-injective right R-modules are introduced and studied in this paper as a generalization of small-injective right R-modules. Let N and M be right R-modules. A module M is said to be JS-N-injective if every R-homomorphism from a submodule of J(N) J(R) into M extends to N. If a module M is JS-R-injective, then M is called JS-injective. Many characterizations and properties of JS-injective right R-modules are obtained. Rings over which every right module is JS-injective are characterized. We study quotients of JS-injective right modules. Then we give conditions under which the class of JS-injective right modules is closed under direct sums.}, number={5}, journal={Iraqi Journal of Science}, year={2024}, month={May}, pages={2649–2658} }