• SOFT UNION IDEAL STRUCTURES OF GAMMA NEAR-RINGS

T he structure of soft union Γ-near ring is based on the inclusion relation and union of sets and since this new concept brings the soft set theory, set theory and Γ-near ring theory together, it is very functional by means of improving the soft set theory with respect to Γ-near ring structure. Moreover, we investigate those notions with respect to soft image, soft pre-image and -inclusion of soft sets. Finally, we give some applications of soft union Γ-near ring to Γ-near ring theory.