Some results on left (σ, τ )−Jordan ideals and one sided generalized derivations
Künye
Güven, E. (2019). Some results on left (σ, τ )−Jordan ideals and one sided generalized derivations. TWMS Journal of Applied and Engineering Mathematics, 9(1), 22-29.Özet
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 ⊂ Cʎ,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 ).
Kaynak
TWMS Journal of Applied and Engineering MathematicsCilt
9Sayı
1SI
Bağlantı
https://hdl.handle.net/11729/2688http://jaem.isikun.edu.tr/web/index.php/archive/100-vol9no1/374
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