Commutative symmetric element in a ring with involution
Titi Udjiani, Suryoto · Journal of Physics Conference Series · 2021
Abstract This paper explains that a symmetrical element on a ring having a Moore Penrose general inverse is commutative with a Generalized Moore Penrose inverse. This is due to the properties of the involution in the ring. By using these results and the main properties of Generalized Moore Penrose invers obtained directly from definition Generalized Moore Penrose invers, several theorems that discuss the necessary and sufficient of an element in a ring that has Generalized Moore Penrose invers and also symmetric had been found.