Special elements in a ring related to Drazin inverses
Leila Lebtahi, Pedro Henrique de Bitencourt Patricio, Néstor Thome · Linear and Multilinear Algebra · 2012
In this article, the existence of the Drazin (group) inverse of an element a in a ring is analysed when a m k = ka n , for some unit k and m, n ∈ ℕ. The same problem is studied for the case when a* = ka m k −1 and for the {k, s + 1}-potent elements. In addition, relationships with other special elements of the ring are also obtained.