English

Notes on prime near-rings with multiplicative derivation

Rings and Algebras 2017-11-29 v2

Abstract

Let N be a left near ring. A map d on N is called a nonzero multiplicative derivation if d(xy)=xd(y)+d(x)y holds for all x,y elements of N.In the present paper, we shall extend some well known results concerning commutativity of prime rings for a nonzero multiplicative derivations of a left prime near-ring N.

Keywords

Cite

@article{arxiv.1612.09068,
  title  = {Notes on prime near-rings with multiplicative derivation},
  author = {Oznur Golbasi and Zeliha Bedir},
  journal= {arXiv preprint arXiv:1612.09068},
  year   = {2017}
}
R2 v1 2026-06-22T17:36:32.951Z