On skew derivations and antiautomorphisms in prime rings

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On skew derivations and antiautomorphisms in prime rings

Alali, Amal S.; Alnoghashi, Hafedh; Nisar, Junaid; ur Rehman, Nadeem; Alqarni, Faez A.

Georgian mathematical journal, 04/2024, Volume: 31, Issue: 2

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According to Posner’s second theorem, a prime ring is forced to be commutative if a nonzero centralizing derivation exists on it. In this article, we extend this result to prime rings with antiautomorphisms and nonzero skew derivations. Additionally, a case is shown to demonstrate that the restrictions placed on the theorems’ hypothesis were not unnecessary.

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Alali, Amal S. | Alnoghashi, Hafedh | Nisar, Junaid | ur Rehman, Nadeem | Alqarni, Faez A.

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