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Further results on the reverse order law for the Moore-Penrose inverse in rings with involution
Authors:Dijana Mosi? Dragan S. Djordjevi?
Affiliation:Faculty of Sciences and Mathematics, University of Niš, P.O. Box 224, 18000 Niš, Serbia
Abstract:We present some equivalent conditions of the reverse order law for the Moore-Penrose inverse in rings with involution, extending some well-known results to more general settings. Then we apply this result to obtain a set of equivalent conditions to the reverse order rule for the weighted Moore-Penrose inverse in C-algebras.
Keywords:Moore-Penrose inverse   Reverse order law   Ring with involution
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