Commutant properties of w -core inverses
Chengcheng Wang, Huihui Zhu, Julio Benítez · Kuwait Journal of Science · 2025
In this paper, we investigate commutant properties of the w -core inverse in a ∗ -semigroup. Among these, it is shown that if and only if a is equal projection (EP) with , where a and w are elements of a ∗ -semigroup. As applications, equivalent conditions such that a core invertible element is an EP element are given. Then, commutant properties of the w -core inverse for complex matrices are correspondingly given. Finally, some results on double commutants and the reverse order law for w -core inverses are given.