TY - JOUR
AU - Musa, Aya Adnan
AU - Al-Saadi, Saad A.
PY - 2020/01/15
Y2 - 2023/09/21
TI - Strongly Weakly Supplement Extending Modules
JF - Al-Mustansiriyah Journal of Science
JA - Al-Mustansiriyah Journal of Science
VL - 30
IS - 4
SE - Mathematics
DO - 10.23851/mjs.v30i4.682
UR - https://mjs.uomustansiriyah.edu.iq/index.php/MJS/article/view/682
SP - 71-76
AB - <p>In this paper, a class of modules which are proper strong concept of weakly supplement extending modules will be introduced and studied. We call a module M is strongly weakly supplement extending, if each submodule of M is essential in fully invariant weakly supplement submodule in M. Many characterizations of strongly weakly supplement extending modules are obtained. We show that M is strongly weakly supplement extending module if and only if every closed submodule of M is fully invariant weakly supplement submodule in M. Also we study the relation among this concept and other known concepts of modules. Moreover, we give some conditions that of strongly weakly supplement extending modules is closed under direct sum property is strongly weakly supplement extending.</p>
ER -