SOME RESULTS ON LEFT - JORDAN IDEALS AND ONE SIDED GENERALIZED DERIVATIONS

Year 2019, Volume: 9 Issue: 1, 22 - 29, 01.03.2019

Evrim Güven

Abstract

Let R be a prime ring with characteristic not 2 and σ, τ, α, β, λ, µ, γ automorphisms of R. Let h : R −→ R be a nonzero left resp. right - generalized α, β − derivation associated with α, β − derivation d1 resp. d . Let W, V be nonzero left σ, τ −Jordan ideals of R and I a nonzero ideal of R. In this paper we also study the situations. 1 ah R b ⊂ Cλ,µ R 2 bh I, a σ,τ = 0 or h I, a σ,τ b = 0, 3 bh I ⊂ Cλ,µ W or h I b ⊂ Cλ,µ W , 4 h I ⊂ Cλ,µ J , 5 h R , a α,β ⊂ Cα,β R , 6 h I b, a λ,µ = 0, 7 bγ W ⊂ Cλ,µ V or γ W b ⊂ Cλ,µ V .

Keywords

Prime ring, generalized derivation, - Jordan Ideal.

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