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Outer Generalized Inverses in Rings |
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| Abstract: | ABSTRACT In this article we formulate basic results on outer generalized inverses of elements in rings. We characterize elements which have the same idempotents related to their particular outer generalized inverses and investigate positive generalized inverses in C*-algebras. |
| Keywords: | Idempotents Outer generalized inverses Perturbations of generalized inverses Positive generalized inverses |