JSS⊕- Supplemented modules

Abstract

We describe J(SS)(circle plus)- supplemented modules as a proper generalisation of circle plus(ss)-supplemented modules. We show that each direct summand of a J(SS)(circle plus)-supplemented module satisfying condition (D3) is also J(SS)(circle plus)-supplemented. Then we prove that the finite direct sum of J(SS)(circle plus)- supplemented submodules as a duo module is J(SS)(circle plus)- supplemented. Moreover, we have given some types of rings whose modules are J(SS)(circle plus)-supplemented.