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

A note on generalized left ($theta,phi$)-derivations in prime rings

Xiao Wei XU
Hong Ying ZHANG
Pages
523–529
Publication Date
2022-10-18
DOI
—
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In this paper we describe generalized left ($theta, phi$)derivations in prime rings, and prove that an additive mapping in a ring R acting as a homomorphism or anti-homomorphism on an additive subgroup S of R must be either a mapping acting as a homomorphism on S or a mapping acting as an anti-homomorphism on S, through which some related results are improved.

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Objective & Hypothesis:In this paper we describe generalized left ($theta, phi$)derivations in prime rings, and prove that an additive mapping in a ring R acting as a homomorphism or anti-homomorphism on an additive subgroup S of R must be either a mapping acting as a homomorphism on S or a mapping acting as an anti-homomorphism on S, through which some related results are improved.
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Key Findings & Data:In this paper we describe generalized left ($theta, phi$)derivations in prime rings, and prove that an additive mapping in a ring R acting as a homomorphism or anti-homomorphism on an additive subgroup S of R must be either a mapping acting as a homomorphism on S or a mapping acting as an anti-homomorphism on S, through which some related results are improved.
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Conclusion & Impact:In this paper we describe generalized left ($theta, phi$)derivations in prime rings, and prove that an additive mapping in a ring R acting as a homomorphism or anti-homomorphism on an additive subgroup S of R must be either a mapping acting as a homomorphism on S or a mapping acting as an anti-homomorphism on S, through which some related results are improved.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper we describe generalized left ($theta, phi$)derivations in prime rings, and prove that an additive mapping in a ring R acting as a homomorphism or anti-homomorphism on an additive subgroup S of R must be either a mapping acting as a homomorphism on S or a mapping acting as an anti-homomorphism on S, through which some related results are improved.

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Cite This Article

XU, X. W., ZHANG, H. Y. (2022). A note on generalized left ($theta,phi$)-derivations in prime rings. Hacettepe Journal of Mathematics and Statistics, Cilt: 40 - Sayı: 4, 523–529. https://ajindex.com/articles/530606

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References (12)

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