On semiprime rings with multiplicative (generalized)-derivations

被引：2

作者：

Khan S. ^{[1
]}

机构：

[1] Department of Mathematics, Aligarh Muslim University, Aligarh

来源：

Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry | 2016年 / 57卷 / 1期

关键词：

Derivation; Generalized derivation; Left ideal; Multiplicative (generalized)-derivation; Multiplicative derivation; Semiprime ring;

D O I：

10.1007/s13366-015-0241-y

中图分类号：

学科分类号：

摘要：

Let (Formula presented.) be a semiprime ring. A mapping F : R (Formula presented.) R (not necessarily additive) is said to be a multiplicative (generalized)-derivation if (Formula presented.) holds for all (Formula presented.) , where (Formula presented.) is any map (not necessarily a derivation nor an additive). The objective of the present paper is to study the following situations (i) (Formula presented.) ; (ii) (Formula presented.) ; (iii) (Formula presented.) ; (iv) (Formula presented.) ; (v) (Formula presented.) ; (vi) (Formula presented.) , for all (Formula presented.) in some appropriate subsets of (Formula presented.). © 2015, The Managing Editors.

引用

页码：119 / 128

页数：9

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