On some generalized inverses and partial orders in $\ast$-rings

Janko Marovt, Dijana Mosić, Insa Cremer

Let $\mathcal{R}$ be a unital ring with involution. The notions of 1MP-inverse and MP1-inverse are extended from $M_{m,n}(\mathbb{C})$, the set of all $m\times n$ matrices over $\…