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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2015 / Cilt: 44 - Sayı: 1

On centralizing automorphisms and Jordan left derivations on σ-prime gamma rings

Kalyan Kumar DEY
Akhil Chandra PAUL
Bijan DAVVAZ
Sayfa
51–57
Yayın Tarihi
2022-10-18
DOI
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We also study the additive maps d :M → M such that d(uαu) = 2uαd(u), where u ∈ U and α ∈Γ, and show that d(uαv) = uαd(v)+vαd(u), for all u,v ∈ U and α ∈Γ. 2000 AMS Classification: 16W10, 16W25, 16W20, 16U80.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:Let M be a 2-torsion free σ-prime Γ-ring and U be a non-zero σ-square closed Lie ideal of M.
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Temel Bulgular & Veri:If T : M → M is an automorphism on U such that T ?= 1 and Tσ = σT on U, then we prove that U ⊆ Z(M).
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Sonuç & Katkı:We also study the additive maps d :M → M such that d(uαu) = 2uαd(u), where u ∈ U and α ∈Γ, and show that d(uαv) = uαd(v)+vαd(u), for all u,v ∈ U and α ∈Γ. 2000 AMS Classification: 16W10, 16W25, 16W20, 16U80.
🔬Tür:Araştırma Makalesi
📍Kapsam:2000 Verileri
⚙️Değişkenler:Alan Parametreleri

Abstract

Let M be a 2-torsion free σ-prime Γ-ring and U be a non-zero σ-square closed Lie ideal of M. If T : M → M is an automorphism on U such that T ?= 1 and Tσ = σT on U, then we prove that U ⊆ Z(M). We also study the additive maps d :M → M such that d(uαu) = 2uαd(u), where u ∈ U and α ∈Γ, and show that d(uαv) = uαd(v)+vαd(u), for all u,v ∈ U and α ∈Γ. 2000 AMS Classification: 16W10, 16W25, 16W20, 16U80.

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Bu Makaleye Atıf Yap

DEY, K. K., PAUL, A. C., DAVVAZ, B. (2022). On centralizing automorphisms and Jordan left derivations on σ-prime gamma rings. Hacettepe Journal of Mathematics and Statistics, Cilt: 44 - Sayı: 1, 51–57. https://ajindex.com/articles/530251

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Kaynakça (15)

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