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1997 A SPECIAL IDENTITY OF ($\alpha ,\beta $)-DERIVATIONS AND ITS CONSEQUENCES
Jui-Chi Chang
Taiwanese J. Math. 1(1): 21-30 (1997). DOI: 10.11650/twjm/1500404922

Abstract

In this note, we shall give a description of ($\alpha ,\beta $)-derivations $\delta ,g$ and $h$ of a prime ring $R$ satisfying $\delta (x) = ag(x) + h(x)b$ for all $x\in U$, where $a$ and $b$ are some fixed noncentral elements of $R$ and $U$ a nonzero ideal of $R$. This result generalizes some known results.

Citation

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Jui-Chi Chang. "A SPECIAL IDENTITY OF ($\alpha ,\beta $)-DERIVATIONS AND ITS CONSEQUENCES." Taiwanese J. Math. 1 (1) 21 - 30, 1997. https://doi.org/10.11650/twjm/1500404922

Information

Published: 1997
First available in Project Euclid: 18 July 2017

zbMATH: 0883.16025
MathSciNet: MR1435493
Digital Object Identifier: 10.11650/twjm/1500404922

Subjects:
Primary: 16A72

Keywords: ($\alpha, \beta $)-derivation , identity

Rights: Copyright © 1997 The Mathematical Society of the Republic of China

Vol.1 • No. 1 • 1997
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