Homological dimensions of some modules in comutative algebra

This thesis is related with homological dimensions of modules. Let R be a commutative ring and M be an R-module. The relationship between projective dimensions of R-module M and the ring structure are examined. Founded results are given with examples.In the introduction of the thesis, the relationship between the rings and modules theory are mentioned. The historical development of the projective dimensions of the modules are given.In the second section, basic definitions, theorems and results related to ring and module theory are given.In the third section, the basic definitions, theorems and results of the dimensions of projective modules are mentioned and the related examples are given.Finally, the relationship between the structre of rings and the projective dimensions of modules are examined.Key Words: Module, Noetherian Ring, Projective Dimension, Regular Ring, Projective Module.