Geodesic
The w-core inverse of a product and its applications
Filomat, Tome 37 (2023) no. 14, p. 4587

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DOI

Let R be a unital *-ring. This paper establishes necessary and sufficient conditions for the existence of the w-core inverse of a regular element by units in R. Then, the existence criterion of the w-core inverse of the product of three elements are derived. As applications, the existence criterion and expression of the w-core inverse of 2 × 2 matrices over a ring are given.
DOI : 10.2298/FIL2314587Y
Classification : 15A09, 16W10, 15A23
Keywords: w-core inverses, dual v-core inverses, inverses along an element, Moore-Penrose inverses, matrices over a ring 
Yuxuan Yang; Huihui Zhu. The w-core inverse of a product and its applications. Filomat, Tome 37 (2023) no. 14, p. 4587 . doi: 10.2298/FIL2314587Y
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     title = {The w-core inverse of a product and its applications},
     journal = {Filomat},
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     year = {2023},
     volume = {37},
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     doi = {10.2298/FIL2314587Y},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2314587Y/}
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