Idempotents generated by weighted generalized inverses in rings with involution

Yaoyao Song, Huihui Zhu


Let R be a ring with involution. In this paper, we investigate properties and characterizations of idempotents generated by weighted Moore-penrose inverses and weighted pseudo core inverses in R. Moreover, several new characterizations about weighted EP elements and the existence criterion of weighted pseudo core inverses are also considered.


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