This analysis finds necessary conditions for commuting properties in semigroups, suggesting new EP-like properties for outer inverses.
We give necessary and sufficient conditions for the commuting property to hold for several important outer inverses such as Drazin’s [Formula: see text]-inverses, hybrid [Formula: see text]-inverses and annihilator [Formula: see text]-inverses by studying the two conditions [Formula: see text] and [Formula: see text]. Moreover, we further investigate Drazin’s left and right [Formula: see text]-EP properties and introduce two new EP-like properties associated with them.
No takes yet. Share an insight, caveat, or question.
Wu et al. (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: