Derivations with power central values on Lie ideals in prime rings |
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| Authors: | Basudeb Dhara R K Sharma |
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| Institution: | (1) Department of Mathematics, Indian Institute of Technology, Kharagpur, 721302, India;(2) Department of Mathematics, Indian Institute of Technology, Delhi, Hauz Khas, New Delhi, 110016, India |
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| Abstract: | Let R be a prime ring of char R ≠ 2 with a nonzero derivation d and let U be its noncentral Lie ideal. If for some fixed integers n
1 ⩾ 0, n
2 ⩾ 0, n
3 ⩾ 0, (u
n1 d(u), u]u
n2)
n3 ∈ Z(R) for all u ∈ U, then R satisfies S
4, the standard identity in four variables. |
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| Keywords: | prime ring derivation extended centroid martindale quotient ring |
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