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Let  R  be a prime ring of characteristic different from 2,  Z ( R ) its center,  Q rits  right Martindale quotient ring ,  C  its  extended centroid ,a non-central multilinear polynomial over  C ,and  F ,  G  two  b -generalized skew derivations of  R . If there existssuch thatfor any, thenis central valued on  R  and there existsuch that  F ( x ) =  px ,  G ( x ) =  xq  for allwith.

A result concerning b -generalized skew derivations on multilinear polynomials in prime rings