English

On Higher {g_n, h_n}-derivations

Rings and Algebras 2019-07-10 v1

Abstract

In this article, we introduce the concepts of higher {g_n, h_n}-derivation and Jordan higher {g_n, h_n}-derivation, and then we give a characterization of higher {g_n, h_n}-derivations in terms of {g, h}-derivations. Using this result, we prove that every Jordan higher {g_n, h_n}-derivation on a semiprime algebra is a higher {g_n, h_n}-derivation.

Keywords

Cite

@article{arxiv.1907.03845,
  title  = {On Higher {g_n, h_n}-derivations},
  author = {Amin Hosseini and Nadeem Ur Rehman},
  journal= {arXiv preprint arXiv:1907.03845},
  year   = {2019}
}
R2 v1 2026-06-23T10:15:22.589Z