The effect on modules from algebraic structures of neutrosophic sets

This thesis, generally, is related with neutrosophic module structure which is created with a set of neutrosophic M(I) on the ring of the a comutative R or R(I). In this thesis, In addition to the description of the strong and weak neutrosophic modules, neutrosophic submodule, neutrosophic division module, neutrosophic linear dependent set, neutrosophic linear independent set, neutrosophic module base and homomorphism of neutrosophic module have been investigated and the results have been given together with examples. In the introduction section of the thesis, the historcal development of the neutrosophic theory is given and the researchers working on the neutrosophic theory are mentioned. In the second section, basic definitions and theorems have been given about neutrosophic theory and classical modules as preliminary information about neutrosophic modules. In the third section, The subject of neutrosophic modules has been examined in detail. Finally, in the fourth section, some neutrosophic extended triplet algebraic sutructures are examined and the definitions of neutrosophic extended triplet group, neutrosophic extended triplet subgroup, neutrosophic extended triplet normal subgroup, neutrosophic extended triplet cosets and neutrosophic extended triplet quotient groups have been given. The subject is supported by the necessary theorems and explained with examples.