Core and Dual Core Inverses of a Sum of Morphisms

Tingting Li, Jianlong Chen, Sanzhang Xu

Let $\mathcal{C}$ be an additive category with an involution $\ast$. Suppose that $\phi :X\to X$ is a morphism of $\mathcal{C}$ with core inverse $φ^{\co} : X \rightarrow X$…