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Let R be a prime ring of characteristic different from 2, Qr be its right Martindale quotient ring and C be its extended cen- troid. Suppose that G is a nonzero generalized skew derivation of R, is the associated automorphism of G, f(x1, . . . , xn) is a non-central multilinear polynomial over C with n non-commuting variables and S = {f(r1, . . . , rn) | r1, . . . , rn ∈ R}. If G acts as a Jordan homomorphism on S, then either G(x) = x for all x ∈ R, or G = α.
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참고문헌 (30)
참고문헌 신청
A. Ali / 2007 / Derivation which acts as a homomorphism or as an anti-homomorphism in a prime ring / Int. Math. Forum 2 (21-24) : 1105 ~ 1110
A. Ali / 2009 / Generalized derivations as homomorphisms or as anti-homomorphisms in a prime ring / Hacet. J. Math. Stat 38 (1) : 17 ~ 20
A. Asma / 2003 / On Lie ideals with derivations as homomorphisms and anti-homomorphisms / Acta Math. Hungar 101 (1-2) : 79 ~ 82
C. -L. Chuang / 1988 / GPIs having coefficients in Utumi quotient rings / Proc. Amer. Math. Soc 103 (3) : 723 ~ 728
C. -L. Chuang / 1992 / Differential identities with automorphisms and antiautomorphisms I / J. Algebra 149 (2) : 371 ~ 404
A. Ali / 2009 / Generalized derivations as homomorphisms or as anti-homomorphisms in a prime ring / Hacet. J. Math. Stat 38 (1) : 17 ~ 20
A. Asma / 2003 / On Lie ideals with derivations as homomorphisms and anti-homomorphisms / Acta Math. Hungar 101 (1-2) : 79 ~ 82
C. -L. Chuang / 1988 / GPIs having coefficients in Utumi quotient rings / Proc. Amer. Math. Soc 103 (3) : 723 ~ 728
C. -L. Chuang / 1992 / Differential identities with automorphisms and antiautomorphisms I / J. Algebra 149 (2) : 371 ~ 404
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