Vanishing power values of commutators with derivations |
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| Authors: | Basudeb Dhara R K Sharma |
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| Institution: | (1) Belda College, Belda, 721424, W.B., India;(2) Indian Institute of Technology, New Delhi, 110016, India |
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| Abstract: | Let R be a prime ring of char R ≠ 2, let d be a nonzero derivation of R, and let ρ be a nonzero right ideal of R such that d(x)x n , d(y)] m , y, x] s ] t = 0 for all x, y ? ρ, where n ≥ 1, m ≥ 0, s ≥ 0, and t ≥ 1 are fixed integers. If ρ, ρ]ρ ≠ 0 then d(ρ)ρ = 0. |
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| Keywords: | prime ring derivation extended centroid Martindale quotient ring |
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