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The m-weak core inverse

open access: yesRevista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2023
Since the day the core inverse has been known in a paper of Bakasarly and Trenkler, it has been widely researched. So far, there are four generalizations of this inverse for the case of matrices of an arbitrary index, namely, the BT inverse, the DMP inverse, the core-EP inverse and the WC inverse.
David Eduardo Ferreyra, Ferreyra D E
exaly   +3 more sources
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Weak core inverses and pseudo core inverses in a ring with involution

Linear and Multilinear Algebra, 2021
In 2020, Ferreyra et al. defined the weak core inverse of a complex matrix. We generalize it to a unitary ring with involution and investigate the relationship between the weak core inverse and the...
Yukun Zhou, Jianlong Chen
openaire   +1 more source

Projections generated by Moore–Penrose inverses and core inverses

Journal of Algebra and Its Applications, 2020
Let [Formula: see text] be a unital ∗-ring. As is well known, idempotents and projections can be constructed by the Moore–Penrose inverse and the core inverse of an element in [Formula: see text]. In this paper, we mainly investigate characterizations and properties of these types of idempotents and projections.
Huihui Zhu, Fei Peng
openaire   +2 more sources

Right core inverse and the related generalized inverses [PDF]

open access: yesCommunications in Algebra, 2019
19 ...
Yuefeng Gao, Dijana Mosić
exaly   +3 more sources

Characterizations of the Weighted Core-EP Inverses

Bulletin of the Iranian Mathematical Society, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ratikanta Behera   +3 more
openaire   +2 more sources

Weighted $w$-core inverses in rings

Czechoslovak Mathematical Journal, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wu, Liyun, Zhu, Huihui
openaire   +1 more source

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