Generalized Jordan derivations on semiprime rings

Bruno L M Ferreira; Henrique Guzzo; Ruth N. Ferreira

Generalized Jordan derivations on semiprime rings

Rings and Algebras 2018-05-02 v1

Authors: Bruno L M Ferreira , Henrique Guzzo , Ruth N. Ferreira

Abstract

The purpose of this note is to prove the following. Suppose $\R$ is a semiprime unity ring having an idempotent element e $\left(e \neq 0, e \neq 1\right)$ which satisfies mild conditions. It is shown that every additive generalized Jordan derivation on $\R$ is a generalized derivation.

Keywords

semiprime rings generalized jordan derivation generalized derivation idempotent element additive map

Cite

@article{arxiv.1805.00009,
  title  = {Generalized Jordan derivations on semiprime rings},
  author = {Bruno L M Ferreira and Henrique Guzzo and Ruth N. Ferreira},
  journal= {arXiv preprint arXiv:1805.00009},
  year   = {2018}
}

Comments

9 pages

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