Two Generalizations of the Core Inverse in Rings with Some Applications

Sanzhang Xu, Julio Benítez, Yaqian Wang, Dijana Mosić · Mathematics · 2023

In this paper, we introduce two new generalized core inverses, namely, the (p,q,m)-core inverse and the ⟨p,q,n⟩-core inverse; both extend the inverses of the ⟨i,m⟩-core inverse, the (j,m)-core inverse, the core inverse, the core-EP inverse and the DMP-inverse.

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