PURELY E*-Extending MODULES AND E*-Supplement EXTENDING MODULES

. In this work, we introduce a new class of modules called as a generalization of e*-extending modules. We gave examples of those concepts and studied their properties as the submodule of purely e*-extending and the submodule of e*- supplement extending; quotient, direct sum, and image homomorphism of purely e*extending and e*- supplement extending. Also, study the relationship to other types, such as e*-uniform modules and e*-closed submodules