Journals / Hacettepe Journal of Mathematics and Statistics / 2007 / Cilt: 36 - Sayı: 1

On a theorem of Posner for 3-prime near-rings with $(sigma,tau)$ derivation

Pages
43–47
Publication Date
2022-10-18
DOI
—
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⚡ TL;DR(Too Long; Didn't Read)

The analog of Posner's theorem on the composition of two derivations in prime rings is proved for 3-prime near-rings with $d_1 a (sigma,tau)$-derivation and $d_2$ a derivation.

📌 3 Key Takeaways

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Objective & Hypothesis:The analog of Posner's theorem on the composition of two derivations in prime rings is proved for 3-prime near-rings with $d_1 a (sigma,tau)$-derivation and $d_2$ a derivation.
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Key Findings & Data:The analog of Posner's theorem on the composition of two derivations in prime rings is proved for 3-prime near-rings with $d_1 a (sigma,tau)$-derivation and $d_2$ a derivation.
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Conclusion & Impact:The analog of Posner's theorem on the composition of two derivations in prime rings is proved for 3-prime near-rings with $d_1 a (sigma,tau)$-derivation and $d_2$ a derivation.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

The analog of Posner's theorem on the composition of two derivations in prime rings is proved for 3-prime near-rings with $d_1 a (sigma,tau)$-derivation and $d_2$ a derivation.

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Cite This Article

GÖLBAŞI, Ö. (2022). On a theorem of Posner for 3-prime near-rings with $(sigma,tau)$ derivation. Hacettepe Journal of Mathematics and Statistics, Cilt: 36 - Sayı: 1, 43–47. https://ajindex.com/articles/530739

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References (6)

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  2. Bell, H. E. and Argaç, N. Derivations, products of derivations and commutativity in near-rings, Algebra Colloquium 84, 399-407, 2001
  3. Bell, H. E. and Mason G. On Derivations in Near-rings, Near-rings and Near-fields (North-Holland Mathematical Studies 137, 1987)
  4. Gölbaşı, O. and Aydın, N. Results on prime near-rings with (a, t)-derivation, Mathematical Journal of Okayama University 46, 1-7, 2004
  5. Pilz, G. Near-rings, 2nd Ed. (North Holland, Amsterdam, 1983)
  6. Posner, E. C. Derivations in prime rings, Proc. Amer. Math. Soc. 8, 1093-1100, 1957.