Delta primary ideals and primary submodules

In this study, firstly ring and module theory were described shortly. In the next part for explain delta primary ideals in commutative rings, firstly ideal expansion and from this delta primary ideals were defined. after these definitions explained with some examples, some features about axpansions were given. After that primary submodules were examined. Finally, in this part, primary decomposition and status of primary decomposition with its different powers were examined.