English

Remarks on Jordan derivations over matrix algebras

Rings and Algebras 2018-03-22 v1

Abstract

Let C be a commutative ring with unity. In this article, we show that every Jordan derivation over an upper triangular matrix algebra T_n(C) is an inner derivation. Further, we extend the result for Jordan derivation on full matrix algebra M_n(C).

Keywords

Cite

@article{arxiv.1803.07939,
  title  = {Remarks on Jordan derivations over matrix algebras},
  author = {Arindam Ghosh and Om Prakash},
  journal= {arXiv preprint arXiv:1803.07939},
  year   = {2018}
}