The special elements in a ring related to the Drazin inverses

Autores UPV
Revista Linear and Multilinear Algebra


In this article, the existence of the Drazin (group) inverse of an element a in a ring is analysed when a^mk=ka^n, for some unit k and m, n in N. The same problem is studied for the case when a^* =k a^m k^{-1} and for the {k, s+1}- potent elements. In addition, relationships with other special elements of the ring are also obtained.