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Annihilators of power values of derivations on Lie ideals of prime rings
Journal of Algebra and Its Applications ( IF 0.5 ) Pub Date : 2021-07-06 , DOI: 10.1142/s0219498822501924 Cheng-Kai Liu, Yuan-Tsung Tsai
中文翻译:
质数环李理想导数幂值的歼灭者
更新日期:2021-07-06
Journal of Algebra and Its Applications ( IF 0.5 ) Pub Date : 2021-07-06 , DOI: 10.1142/s0219498822501924 Cheng-Kai Liu, Yuan-Tsung Tsai
Let be a prime ring with the extended centroid and a noncentral Lie ideal of . Suppose that , and is a derivation of such that for all , where are fixed positive integers. If or , then unless , the matrix ring over a field . This result gives an affirmative answer to the open conjecture recently raised by Huang in [Derivations with annihilator conditions on Lie ideals in prime rings, J. Algebra Appl. 19 (2020) 2050025].
中文翻译:
质数环李理想导数幂值的歼灭者
让是质心延长的素环和的非中心李理想. 假设,和是一个推导这样对所有人, 在哪里是固定的正整数。如果或者, 然后除非, 这场上的矩阵环. 这一结果对 Huang 最近在 [Derivations with annihilator conditions on Lie Ideals in prime ring, J. Algebra Appl. ] 中提出的开放猜想给出了肯定的回答。19(2020)2050025]。