Constructing group inverse and MP-inverse of the product of some generalized inverses via w-core inverse

Liufeng Cao, Hua Yao, Junchao Wei

Abstract


Let $R$ be a ring with an involution. In this paper, by studying the $w$-core inverses of $R$, we construct the group inverse and MP-inverse of the product of some generalized inverses in $R$.

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