Neutro – algebraic structures

This master thesis consists of five chapters. In the first part, which is an introduction, information about neutrosophic theory, partial algebraic structures, BCK algebras and neutro-algebraic structures was given and the history of these structures was mentioned. In the second part where general information is included, the definition of neutrosophic set and some important algebraic definitions are given. In addition, basic definitions and properties of partial algebraic structures and neutro-algebraic structures are given. Differences and similarities between partial algebraic structures and neutro-algebraic structures were mentioned. In the third chapter, the definition of neutro-BCK algebra was given and its general properties were mentioned. It has been shown that neutro - BCK algebra is different from classical BCK algebra. In the fourth chapter, the definitions and properties of neutro - groups, neutro - rings, neutro - fields and neutro - vector spaces are given. Classical algebraic structures were compared with these algebraic structures and differences between them were mentioned. In the fifth chapter, which is the last chapter, the results obtained from this master's thesis were given and the suggestions were mentioned.