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math.RA2023
The Sum of EP elements in a ring with involution
Huanyin Chen, Marjan Sheibani Abdolyousefi
We present a necessary and sufficient conditions under which the sum of two EP elements in a *-ring has core inverse. As an application, we establish the conditions under which a b…
math.RA2023
G-Drazin inverse and group inverse for the anti-triangular block-operator matrices
Huanyin Chen, Marjan Sheibani
We present the generalized Drazin inverse for certain anti-triangular operator matrices. Let . If and , we prove that $M=\left(…