Local derivations on associative and Jordan matrix algebras
Rings and Algebras
2019-01-28 v1 Operator Algebras
Abstract
In the present paper we prove that every additive (not necessarily homogenous) local inner derivation on the algebra of matrices over an arbitrary field is an inner derivation, and every local inner derivation on the ring of matrices over a finite ring generated by the identity element or the ring of integers is an inner derivation. We also prove that every additive local inner derivation on the Jordan algebra of symmetric matrices over an arbitrary field is a derivation, and every local inner derivation on the Jordan ring of symmetric matrices over a finite ring generated by the identity element or the ring of integers is a derivation.
Cite
@article{arxiv.1901.08947,
title = {Local derivations on associative and Jordan matrix algebras},
author = {Sh. Ayupov and F. Arzikulov},
journal= {arXiv preprint arXiv:1901.08947},
year = {2019}
}
Comments
23 pages