Generalized of properties symmetric element on rings with involution
Titi Udjiani, Suryoto, Harjito · Journal of Physics Conference Series · 2020
Abstract The definition of symmetric elements in a ring equipped with involution can be generalized by multiplying it as many as n natural number. Generalizing of symmetric elements is known as the generalized symmetric elements. Not each generalized symmetric element has a generalized Moore Penrose inverse. That condition is an extension of the symmetric elements properties in a ring. This paper produces others properties of generalized symmetric elements. Method which is used is by generalizing the commutative properties between symmetric elements with generalized Moore Penrose inverse.