Ali–Fošner's generalized -Jordan derivation conjecture
Ali–Fošner's generalized -Jordan derivation conjecture
Let be fixed integers, let be a semiprime ring satisfying suitable torsion restrictions, and let be a nonzero generalized -Jordan derivation. Ali–Fošner's conjecture. Then is a derivation whose image is contained in . The paper states that its first main theorem gives an affirmative answer under the explicit hypotheses that are distinct and is -torsion free.
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Primary source
Driss Bennis, Basudeb Dhara and Brahim Fahid, “On Generalized (m, n)-Jordan Derivations and Centralizers of Semiprime Rings”, arXiv:1812.08209 (2018).
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