A new class of generalized inverses in semigroups and rings with involution

Huihui Zhu, Liyun Wu, Jianlong Chen

Let $S$ be a $\ast$-semigroup and let $a,w,v\in S$. The initial goal of this work is to introduce two new classes of generalized inverses, called the $w$-core inverse and the dual $v$…