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Lebtahi Ep-Kadi-Hahifi Leila, Patrício Pedro, Thome Coppo Néstor Javier
2013
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.