Soft k-ideals defined on k-semiring and some algebraic applications

In this thesis study is researched firstly soft sets, soft intersectional groups and soft intersectional rings. Then, some algebraic properties are examined by describing soft intersectional k-ideals on semirings. Morever, the structures of quotient are defined by k-semirings. Isomorphism theorems are examined by quotient structures. Finally, some algebraic properties are investigated by defining soft intersectional maximal k-ideals.