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

IF 0.6 Q3 MATHEMATICS

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

M. Ashraf, Mohammad Aslam Siddeeque

引用次数: 4

Abstract

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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有对合的素环上*-理想的Posner第一定理

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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来源期刊

Kyungpook Mathematical Journal MATHEMATICS-

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： Kyungpook Mathematical Journal is an international journal devoted to significant research concerning all aspects of mathematics. The journal has a preference for papers having a broad interest. One volume of the journal is published every year. Each volume until volume 42 consisted of two issues; however, starting from volume 43(2003), each volume consists of four issues. Authors should strive for expository clarity and good literary style. Manuscripts should be prepared as follows. The first page must consist of a short descriptive title, followed by the name(s) and address(es) of the author(s) along with an electronic address if available.