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

On Generalized Higher Derivations

Atsushi NAKAJİMA
Sayfa
295–311
Yayın Tarihi
2022-11-06
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez: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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Temel Bulgular & Veri: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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Sonuç & Katkı:Moreover, we discuss generalized higher Jordan derivations and Lie derivations.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Turk. J. Math. · (2000) · 295-311. Full text: pdf Other articles published in the same issue: Turk. J. Math.

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.

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.

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Bu Makaleye Atıf Yap

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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