Geodesic
New characterizations for w-core inverses in rings with involution
Filomat, Tome 37 (2023) no. 7, p. 2131

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DOI

Let R be a unital *-ring and let a, b, w ∈ R. In this paper, we give some new characterizations on w-core inverses in R. In particular, it is shown that a is w-core invertible if and only if it is w(aw) n−1-core invertible for any positive integer n, in which case, the representations of the w-core inverse and the w(aw) n−1-core inverse of a are both presented. We further characterize w-core inverses by Hermitian elements (or projections) and units.
DOI : 10.2298/FIL2307131J
Classification : 15A09, 16W10
Keywords: w-core inverses, core inverses, the inverse along an element, {1, 3}-inverses, {1, 4}-inverses, Moore-Penrose inverses, group inverses 
Taohua Jin; Huihui Zhu; Liyun Wu. New characterizations for w-core inverses in rings with involution. Filomat, Tome 37 (2023) no. 7, p. 2131 . doi: 10.2298/FIL2307131J
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     title = {New characterizations for w-core inverses in rings with involution},
     journal = {Filomat},
     pages = {2131 },
     year = {2023},
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     doi = {10.2298/FIL2307131J},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2307131J/}
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