Engel type identities with derivations for right ideals in prime rings |
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| Authors: | Rajendra K Sharma Basudeb Dhara |
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| Institution: | 12. Department of Mathematics, Indian Institute of Technology, Delhi Hauz Khas, New Delhi, 110016, India
22. Department of Mathematics, Indian Institute of Technology, Kharagpur, Kharagpur, 721302, India
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| Abstract: | Let R be a prime ring of char R≠2, d a non-zero derivation of R and ρ a non-zero right ideal of R such that d(x),d(y)]n y,x]m] = 0 for all x,y ∈ ρ or d(x),d(y)]n dy,x]m] = 0 for all x,y ∈ ρ, n, m ≥ 0 are fixed integers. If ρ,ρ]ρ ≠ 0, then d(ρ)ρ = 0. |
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