Abstract

The aim of this paper is to explore the commutativity of semiprime rings admitting multiplicative (generalized)-derivations and satisfy certain hypotheses on appropriate subsets.

Highlights

  • Throughout this paper R denotes an associative ring with center Z(R)

  • The aim of this paper is to explore the commutativity of semiprime rings admitting multiplicative-derivations and satisfy certain hypotheses on appropriate subsets

  • An additive map f : R → R is called a derivation of R if f = f (x)y + x f (y) holds for all x, y ∈ R

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Summary

Published by Canadian Center of Science and Education

On Commutativity of Semiprime Rings with Multiplicative (generalized)-derivations. Sandhu Department of Mathematics, Punjabi University, Patiala, Punjab, India. Received: December 5, 2016 Accepted: January 18, 2017 Online Published: March 5, 2017 doi:10.5539/jmr.v9n2p9

Introduction
Main Results
We define maps
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