Fošner's generalized (m,n)(m,n)-Jordan centralizer conjecture

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Let m,n≥1m,n\geq 1 be fixed integers, let RR be a semiprime ring satisfying suitable torsion restrictions, and let T:R⟶RT:R\longrightarrow R be a generalized (m,n)(m,n)-Jordan centralizer. Fošner's conjecture. Then TT 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.

References

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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