Two-Local derivations on associative and Jordan matrix rings over commutative rings
Rings and Algebras
2017-05-30 v1 Operator Algebras
Abstract
In the present paper we prove that every 2-local inner derivation on the matrix ring over a commutative ring is an inner derivation and every derivation on an associative ring has an extension to a derivation on the matrix ring over this associative ring. We also develop a Jordan analog of the above method and prove that every 2-local inner derivation on the Jordan matrix ring over a commutative ring is a derivation.
Keywords
Cite
@article{arxiv.1705.09910,
title = {Two-Local derivations on associative and Jordan matrix rings over commutative rings},
author = {Shavkat Ayupov and Farhodjon Arzikulov},
journal= {arXiv preprint arXiv:1705.09910},
year = {2017}
}
Comments
19 pages, Linear Algebra and its Applications 2017