This work investigates G-core-EP and S-core-EP inverses in $ extasteriskcentered$-rings, suggesting new relational structures.
The concepts of the G-core-EP and S-core-EP inverses are extended from the set of all n× n complex matrices to the set of all core-EP invertible elements in a -ring. We investigate their properties and provide characterizations of these generalized inverses. Furthermore, by applying them, we introduce and study some new relations on -rings and Rickart -rings.
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Golubić et al. (2026) studied this question.
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