Further results on the reverse order law for the group inverse in rings

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摘要

In this paper, we use the Drazin inverse to derive some new equivalences of the reverse order law for the group inverse in unitary rings. Moreover, if the ring has an involution, we present more equivalences when both involved elements are EP.

论文关键词:Group inverse,Drazin inverse,Moore–Penrose inverse,Reverse order law

论文评审过程:Available online 7 January 2014.

论文官网地址:https://doi.org/10.1016/j.amc.2013.12.030