2-Local derivations on matrix algebras over commutative regular algebras
Operator Algebras
2013-04-12 v2
Abstract
The paper is devoted to 2-local derivations on matrix algebras over commutative regular algebras. We give necessary and sufficient conditions on a commutative regular algebra to admit 2-local derivations which are not derivations. We prove that every 2-local derivation on a matrix algebra over a commutative regular algebra is a derivation. We apply these results to 2-local derivations on algebras of measurable and locally measurable operators affiliated with type I von Neumann algebras.
Keywords
Cite
@article{arxiv.1210.1900,
title = {2-Local derivations on matrix algebras over commutative regular algebras},
author = {Sh. A. Ayupov and K. K. Kudaybergenov and A. K. Alauadinov},
journal= {arXiv preprint arXiv:1210.1900},
year = {2013}
}
Comments
to appear Linear Algebra and Its Applications. arXiv admin note: text overlap with arXiv:0901.2983