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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2019 / Volume: 68 Issue: 2

Generalizations of some results on generalized polynomial identities

Münevver Pınar Eroğlu(DOKUZ EYLÜL ÜNİVERSİTESİ)0000-0002-7523-9812
Pages
—
Publication Date
2019-08-01
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Also as an application, we extend a result in [5] on images of a linear map with derivations to generalized derivations case.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Motivated by the generalized polynomial identities in [1] and [5], our aim is to generalize some of the results in these works.
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Key Findings & Data:Precisely, we extend the result in [1] on commuting values of the same generalized derivations to the different generalized derivations case by a short proof.
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Conclusion & Impact:Also as an application, we extend a result in [5] on images of a linear map with derivations to generalized derivations case.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Simple GPI-ring · prime ring · commutator ring

Abstract

Motivated by the generalized polynomial identities in [1] and [5], our aim is to generalize some of the results in these works. Precisely, we extend the result in [1] on commuting values of the same generalized derivations to the different generalized derivations case by a short proof. Also as an application, we extend a result in [5] on images of a linear map with derivations to generalized derivations case.

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Cite This Article

Eroğlu, M. P. (2019). Generalizations of some results on generalized polynomial identities. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 68 Issue: 2. https://doi.org/10.31801/cfsuasmas.476986

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References (8)

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