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Dergiler / Turkish Journal of Mathematics / 2014 / Cilt: 38 - Sayı: 2

Generalized derivations centralizing on Jordan ideals of rings with involution

Lahcen OUKHTITE
Abdellah MAMOUNI
Sayfa
225–232
Yayın Tarihi
2014-05-16
DOI
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Moreover, we provide examples to show that the assumed restriction cannot be relaxed.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:A classical result of Posner states that the existence of a nonzero centralizing derivation on a prime ring forces the ring to be commutative.
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Temel Bulgular & Veri:In this paper we extend Posner's result to generalized derivations centralizing on Jordan ideals of rings with involution and discuss the related results.
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Sonuç & Katkı:Moreover, we provide examples to show that the assumed restriction cannot be relaxed.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Rings with involution · generalized derivations · Jordan ideals

Özet

A classical result of Posner states that the existence of a nonzero centralizing derivation on a prime ring forces the ring to be commutative. In this paper we extend Posner's result to generalized derivations centralizing on Jordan ideals of rings with involution and discuss the related results. Moreover, we provide examples to show that the assumed restriction cannot be relaxed.

Abstract

A classical result of Posner states that the existence of a nonzero centralizing derivation on a prime ring forces the ring to be commutative. In this paper we extend Posner's result to generalized derivations centralizing on Jordan ideals of rings with involution and discuss the related results. Moreover, we provide examples to show that the assumed restriction cannot be relaxed.

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Bu Makaleye Atıf Yap

OUKHTITE, L., MAMOUNI, A. (2014). Generalized derivations centralizing on Jordan ideals of rings with involution. Turkish Journal of Mathematics, Cilt: 38 - Sayı: 2, 225–232. https://ajindex.com/articles/185713

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Kaynakça (13)

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