Characterizations of SEP elements in a ring with involution

Junchao Wei, Xinran Wang, Mengge Guan


In this paper, we mainly give characterizations of SEP elements in terms of equations. In addition, some conditions involving powers of group and Moore-Penrose inverse are proposed to characterize SEP elements. Finally, we construct univariate equations, use the consistency of the equations and the solutions to the equations to characterize SEP elements.


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