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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2011 / Cilt: 40 - Sayı: 4

A Note on Generalized Left (t, p)-Derivations in Prime Rings

Xiao-wei XU
Hong-ying ZHANG
Sayfa
523–529
Yayın Tarihi
2011-04-01
DOI
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In this paper we describe generalized left (θ, φ)-derivations in primerings, and prove that an additive mapping in a ring R acting as ahomomorphism or anti-homomorphism on an additive subgroup S ofR must be either a mapping acting as a homomorphism on S or amapping acting as an anti-homomorphism on S, through which somerelated results are improved.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper we describe generalized left (θ, φ)-derivations in primerings, and prove that an additive mapping in a ring R acting as ahomomorphism or anti-homomorphism on an additive subgroup S ofR must be either a mapping acting as a homomorphism on S or amapping acting as an anti-homomorphism on S, through which somerelated results are improved.
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Temel Bulgular & Veri:In this paper we describe generalized left (θ, φ)-derivations in primerings, and prove that an additive mapping in a ring R acting as ahomomorphism or anti-homomorphism on an additive subgroup S ofR must be either a mapping acting as a homomorphism on S or amapping acting as an anti-homomorphism on S, through which somerelated results are improved.
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Sonuç & Katkı:In this paper we describe generalized left (θ, φ)-derivations in primerings, and prove that an additive mapping in a ring R acting as ahomomorphism or anti-homomorphism on an additive subgroup S ofR must be either a mapping acting as a homomorphism on S or amapping acting as an anti-homomorphism on S, through which somerelated results are improved.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Prime rings · Generalized left (θ · Mappings acting as homomorphisms

Abstract

In this paper we describe generalized left (θ, φ)-derivations in primerings, and prove that an additive mapping in a ring R acting as ahomomorphism or anti-homomorphism on an additive subgroup S ofR must be either a mapping acting as a homomorphism on S or amapping acting as an anti-homomorphism on S, through which somerelated results are improved.

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Bu Makaleye Atıf Yap

XU, X., ZHANG, H. (2011). A Note on Generalized Left (t, p)-Derivations in Prime Rings. Hacettepe Journal of Mathematics and Statistics, Cilt: 40 - Sayı: 4, 523–529. https://ajindex.com/articles/669692

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Kaynakça (8)

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  3. Ashraf, M. and Ali, S. On generalized Jordan left derivations in rings, Bull. Korean Math. Soc. 45, 253–261, 2008.
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  7. Lee, T. K. Generalized derivations of left faithful rings, Comm. Algebra 27, 4057–4073, 1999.
  8. Zaidi, S. M. A., Ashraf, M. and Ali, S. On Jordan ideals and left (θ, θ)-derivations in prime rings, Int. J. Math. & Math. Sci. 37, 1957–1964, 2004.