Special elements in a ring related to Drazin inverses
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Special elements in a ring related to Drazin inverses

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Special elements in a ring related to Drazin inverses

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Lebtahi, Leila; Patrício, Pedro; Thome, Néstor
This document is a artículoDate2013

Este documento está disponible también en : http://hdl.handle.net/10550/57743

In this article, the existence of the Drazin (group) inverse of an element a in a ring is analysed when a^m k = k a^n , for some unit k and m, n ∈ 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.

    Lebtahi, Leila Patrício, Pedro Thome, Néstor 2013 Special elements in a ring related to Drazin inverses Linear & Multilinear Algebra 61 8 1017 1027
http://dx.doi.org/10.1080/03081087.2012.728598

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