A class of core inverses associated with Green's relations in semigroups

Huihui Zhu, Bing Dong

Let $S$ be a $\ast$-monoid and let $a,b,c$ be elements of $S$. We say that $a$ is $(b,c)$-core-EP invertible if there exist some $x$ in $S$ and some nonnegative integer $k$ such that…