DOI: 10.24330/ieja.1977364 ISSN: 1306-6048

On G-core-EP and S-core-EP inverses in $\ast$-rings with related relations

Iva Golubic, Janko Marovt
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The concepts of the G-core-EP and S-core-EP inverses are extended from the set of all $n\times n$ complex matrices to the set of all core-EP invertible elements in a $\ast$-ring. We investigate their properties and provide characterizations of these generalized inverses. Furthermore, by applying them, we introduce and study some new relations on $\ast$-rings and Rickart $\ast$-rings.

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