The Drazin inverse in an arbitrary semiring
Israr Ali Khan, Qing‐Wen Wang · Linear and Multilinear Algebra · 2011
In this article, we investigate the Drazin invertibility for the elements of an arbitrary semiring. We give necessary and sufficient conditions for the existence and expressions of the Drazin inverse of an element in an arbitrary semiring. Moreover, we consider the product paq under some additional necessary conditions for which the Drazin inverse of the product paq exists.