ABSTRACT
Let be an additive category with an involution
. Suppose that
is a morphism with kernel
in
, then
is core invertible if and only if
has a cokernel
and both
and
are invertible. In this case, we give the representation of the core inverse of
. We also give the corresponding result about dual core inverse.
Acknowledgements
The authors are highly grateful to the anonymous referees who has provided the helpful comments and suggestions.
Disclosure statement
No potential conflict of interest was reported by the authors.