Abstract
Characterizations are given for existence of the Drazin inverse of a matrix over an arbitrary ring. Moreover, the Drazin inverse of a product PAQ for which there exist a P ′ and Q ′ such that P ′ PA= A= AQQ ′ can be characterized and computed. This generalizes recent results obtained for the group inverse of such products. The results also apply to morphisms in (additive) categories. As an application we characterize Drazin invertibility of companion matrices over general rings.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Published version (
Free)
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
