A quadratic generalized differential identity on Lie ideals of Prime Rings
Articles > Article · 2018
Authors: Çağrı DEMİR, Vincenzo De Filippis, Nurcan ARGAÇ
LINEAR & MULTILINEAR ALGEBRA, Journal Indexed in SCI Expanded, International, 2018, vol 68, pp 1835-1847
DOI: 10.1080/03081087.2018.1561824
Summary
LetRbe a prime ring of characteristic different from 2,Cits extended centroid andLa non-central Lie ideal ofR. IfF:R -> RandG:R -> Rare two non-zero generalized derivations ofRsuch that[F(u),G(u)]=0for allu is an element of L, thenG=lambda Ffor some lambda is an element of Cexcept possibly whenRsatisfies the standard identitys4of degree 4.