Generalized Moore Penrose Inverse of Normal Elements in a Ring with Involution

Based on the definition of a normal element in a ring with involution, it is found that each normal element is commutatively with the product of itself and the involution of itself. On the other hand, if the element of a ring with involution has generalized Moore Penrose inverse, then the element is also commutative with the product of itself and the involution of itself. In this paper, the phenomenon of the similarity properties from normal elements and generalized Moore Penrose inverse is used to establish the relationship between of them with them. .