Higher Derivations Satisfying Certain Identities in Rings

IF 1.3 4区 数学 Q1 MATHEMATICS Journal of Mathematics Pub Date : 2024-02-08 DOI:10.1155/2024/6550025
Amal S. Alali, Shakir Ali, Naira N. Rafiquee, Vaishali Varshney
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Motivated by the works of Herstein and Bell-Daif, we characterize rings with higher derivations <span><svg height=\"12.9265pt\" style=\"vertical-align:-3.63817pt\" version=\"1.1\" viewbox=\"-0.0498162 -9.28833 21.221 12.9265\" width=\"21.221pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,13.59,0)\"></path></g></svg><span></span><svg height=\"12.9265pt\" style=\"vertical-align:-3.63817pt\" version=\"1.1\" viewbox=\"24.803183800000003 -9.28833 34.147 12.9265\" width=\"34.147pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,24.853,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,29.351,0)\"></path></g><g transform=\"matrix(.0091,0,0,-0.0091,36.501,3.132)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,39.557,0)\"></path></g><g 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引用次数: 0

Abstract

Let and be fixed positive integers. In this paper, we establish some structural properties of prime rings equipped with higher derivations. Motivated by the works of Herstein and Bell-Daif, we characterize rings with higher derivations satisfying (i) for all and (ii) for all .
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满足环中某些同一性的高阶衍生
设 和 为固定的正整数。在本文中，我们将建立素环的一些结构性质，这些素环都具有高阶导数。受赫尔斯坦和贝尔-戴夫著作的启发，我们描述了具有高阶导数的环的特征，它们满足(i) for all 和(ii) for all .
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Journal of Mathematics
Journal of Mathematics Mathematics-General Mathematics
CiteScore
2.50
自引率
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期刊介绍： Journal of Mathematics is a broad scope journal that publishes original research articles as well as review articles on all aspects of both pure and applied mathematics. As well as original research, Journal of Mathematics also publishes focused review articles that assess the state of the art, and identify upcoming challenges and promising solutions for the community.
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