English

Jordan derivations on semirings of triangular matrices

Rings and Algebras 2018-02-27 v1

Abstract

We explore Jordan derivations of triangular matrices with entries from an additively idempotent semiring. The main result states that for any matrix A over additively idempotent semiring, if we put all the elements of the family of dense submatrices of A to be zeroes, we find a derivative of A. The set of derivations of this type is established.

Keywords

Cite

@article{arxiv.1802.08704,
  title  = {Jordan derivations on semirings of triangular matrices},
  author = {Dimitrinka Vladeva},
  journal= {arXiv preprint arXiv:1802.08704},
  year   = {2018}
}