The Moore-Penrose inverse in rings with involution

preprint2016arXivOpen access

Let $R$ be a unital ring with involution.In this paper, several new necessary and sufficient conditions for the existence of the Moore-Penrose inverse of an element in a ring $R$ are given.In addition, the formulae of the Moore-Penrose inverse of an element in a ring are presented.

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The Moore-Penrose inverse in rings with involution

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