Fošner's generalized -Jordan centralizer conjecture
Fošner's generalized -Jordan centralizer conjecture
Let be fixed integers, let be a semiprime ring satisfying suitable torsion restrictions, and let be a generalized -Jordan centralizer. Fošner's conjecture. Then is a two-sided centralizer. The paper presents this as a conjecture extending Fošner's prime-ring result to semiprime rings; the supplied text does not state whether it has been resolved.
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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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