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On τ-centralizers of semiprime rings |
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| Authors: | E Albaş |
| Institution: | (1) Ege University, Izmir, Turkey |
| Abstract: | Let R be a semiprime 2-torsion free ring, and let τ be an endomorphism of R. Under some conditions we prove that a left Jordan τ-centralizer of R is a left τ-centralizer of R. Under the same conditions we also prove that a Jordan τ-centralizer of R is a τ-centralizer of R. We thus generalize Zalar’s results to the case of τ-centralizers of R. |
| Keywords: | prime ring semiprime ring left centralizer left Jordan centralizer left τ -centralizer left Jordan τ -centralizer generalized (σ τ )-derivation generalized Jordan (σ τ )-derivation |
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