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Journals / 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
Pages
523–529
Publication Date
2011-04-01
DOI
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⚡ TL;DR(Too Long; Didn't Read)

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 Key Takeaways

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Objective & Hypothesis: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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Key Findings & Data: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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Conclusion & Impact: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.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables: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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Cite This Article

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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References (8)

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