| 带有对合的素环的微分恒等式（英文） |
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| 引用本文： | 黄述亮.带有对合的素环的微分恒等式（英文）[J].数学季刊,2023(2):134-144. |
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| 作者姓名： | 黄述亮 |
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| 作者单位： | School of Mathematics and Finance, Chuzhou University |
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| 基金项目： | Supported by the University Science Research Project of Anhui Province (Grant Nos.KJ2020A0711, KJ2020ZD74, KJ2021A1096)；;the Natural Science Foundation of Anhui Province (Grant No.1908085MA03)； |
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| 摘 要： | Let R be a prime ring of characteristic different from two with the second involution * and a an automorphism of R.An additive mapping F of R is called a generalized(α,α)-derivation on R if there exists an(α,α)-derivation d of R such that F(xy)=F(x)α(y)-α(x)d(y) holds for all x,y∈R.The paper deals with the study of some commutativity criteria for prime rings with involution.Precisely,we describe the structure of R admitting a generalized(α,α)-derivation F satisfying any one of the following prop...
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