有对合的素环上*-理想的Posner第一定理

Pub Date : 2016-06-23 DOI:10.5666/KMJ.2016.56.2.343

M. Ashraf, Mohammad Aslam Siddeeque

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引用次数: 4

摘要

波斯纳第一定理指出，如果R是一个特征不同于2的素环，d1和d2是R上的导数使得迭代d1d2也是R的导数，那么d1和d2中至少有一个为零。本文将此结果推广到特征不同于2的*素环。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Posner's First Theorem for *-ideals in Prime Rings with Involution

Posner’s first theorem states that if R is a prime ring of characteristic different from two, d1 and d2 are derivations on R such that the iterate d1d2 is also a derivation of R, then at least one of d1, d2 is zero. In the present paper we extend this result to ∗-prime rings of characteristic different from two.

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