In this paper,we firstly study some characterizations of SEP elements in rings with involution by the solvability of certain equation and construct the group inverses,MP inverses and invertible elements;Then we depict SEP elements by the solution of the equations,generalized inverse equations and the general solution of bivariate equations in a certain set.
关键词
EP元/偏序等距元/SEP元/对合环
Key words
EP element/partial isometry element/strongly EP element/involution ring