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Journals / Turkish Journal of Mathematics / 2000 / Cilt: 24 - Sayı: 3

On Generalized Higher Derivations

Atsushi NAKAJİMA
Pages
295–311
Publication Date
2022-11-06
DOI
—
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

Moreover, we discuss generalized higher Jordan derivations and Lie derivations.

📌 3 Key Takeaways

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Objective & Hypothesis:We define the notion of generalized higher derivations and give some elementary relations between generalized higher derivations and higher derivations in the usual sense.
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Key Findings & Data:We extend the result of an exact sequence of the set of all derivations \text{Der}(A, M) and the set of all generalized derivations g\text{Der}(A, M) given in [N1, Theorem 2.4].
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Conclusion & Impact:Moreover, we discuss generalized higher Jordan derivations and Lie derivations.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Turk. J. Math. · (2000) · 295-311. Full text: pdf Other articles published in the same issue: Turk. J. Math.

Abstract

We define the notion of generalized higher derivations and give some elementary relations between generalized higher derivations and higher derivations in the usual sense. We extend the result of an exact sequence of the set of all derivations \text{Der}(A, M) and the set of all generalized derivations g\text{Der}(A, M) given in [N1, Theorem 2.4]. Moreover, we discuss generalized higher Jordan derivations and Lie derivations.

Özet

We define the notion of generalized higher derivations and give some elementary relations between generalized higher derivations and higher derivations in the usual sense. We extend the result of an exact sequence of the set of all derivations \text{Der}(A, M) and the set of all generalized derivations g\text{Der}(A, M) given in [N1, Theorem 2.4]. Moreover, we discuss generalized higher Jordan derivations and Lie derivations.

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Cite This Article

NAKAJİMA, A. (2022). On Generalized Higher Derivations. Turkish Journal of Mathematics, Cilt: 24 - Sayı: 3, 295–311. https://ajindex.com/articles/608934

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