A quadratic generalized differential identity on Lie ideals of Prime Rings

Makaleler > Tam Makale · 2018

Yazarlar: Çağrı DEMİR, Vincenzo De Filippis, Nurcan ARGAÇ

LINEAR & MULTILINEAR ALGEBRA, SCI Expanded İndekslerine Giren Dergi, Uluslararası, 2018, cilt 68, ss 1835-1847

DOI: 10.1080/03081087.2018.1561824

Özet

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.

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