Multiplicative (generalized)-derivation in semiprime rings

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• 作者：S. K. Tiwari ; R. K. Sharma ; B. Dhara
• 关键词：Semiprime ring ; Multiplicative (generalized) ; derivations ; Mappings
• 刊名：Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：58
• 期：1
• 页码：211-225
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Algebra; Geometry; Algebraic Geometry; Convex and Discrete Geometry;
• 出版者：Springer Berlin Heidelberg
• ISSN：2191-0383
• 卷排序：58

文摘

Let R be a semiprime ring and \(\alpha \) any mapping on R. A mapping \(F:R\rightarrow R\) is called multiplicative (generalized)-derivation if \(F(xy)=F(x)y+xd(y)\) for all \(x, y \in R\), where \(d:R\rightarrow R\) is any map (not necessarily additive). In this paper our main motive is to study the commutativity of semiprime rings and nature of mappings.