TY - JOUR
AU - Al-Saadi, Saad Abdulkadhim
AU - abdulkareem, darya jabar
PY - 2018/11/17
Y2 - 2022/09/29
TI - Strongly Uniform Extending Modules
JF - Al-Mustansiriyah Journal of Science
JA - MJS
VL - 29
IS - 2
SE - Mathematics
DO - 10.23851/mjs.v29i2.237
UR - https://mjs.uomustansiriyah.edu.iq/index.php/MJS/article/view/237
SP - 148-154
AB - In this paper, we introduced and studied the concept of strongly uniform extending modules, An R-module M is called strongly uniform extending (or M has (1-SC1) condition) if every uniform submodule of M is essential in a stable (fully invariant) direct summand of M. As a proper stronger than uniform extending modules and as a generalization of strongly extending modules and give some properties of such modules in analogy with properties for strongly extending modules. We have the following implications:Strongly extending modules ⇒ Strongly uniform extending modules ⇒ Uniform extending modules.
ER -