Nil-semicommutative rings

The thesis consists of abstract, basic concepts, introduction, and four main chapters. The first main section is "Semicommutative Rings", the second main section is "Nil-semicommutative-I Rings", the third section is "Nil-semicommutative-II Rings" and the last main section is Left (Right) N-semicommutative Rings. In the fourth chapter, it is introduced the property of semicommutativity of rings on nilpotent elements. These rings are called nil-semicommutative-I rings. It is investigated when nil-semicommutative-I ring is semicommutative. This chapter also includes some extensions of nil-semicommutative-I ring: trivial extension, polynomial extension and Laurent polynomial extension. In the fifth chapter, it is defined the other version of nil-semicommutative rings. This ring is called nil-semicommutative-II ring. Also, this ring is classified in non-commutative ring theory. In the last chapter, the "Left (Right) N-semmicomutative Rings" is introduced and some of its extensions are included.