Volume no :5, Issue no: 2, May (2011)

CHARACTERIZATIONS OF HIGHER DERIVATIONS

Author's: Jianbin Guo
Pages: [113] - [124]
Received Date: March 31, 2011
Submitted by:

Abstract

Let be a unital algebra and be a family of linear mappings from into itself such that In this paper, we prove that if for any with and for all then the restriction to the subalgebra generated by all idempotents of is a higher derivation. We also show that this kind of mappings is a higher derivation on under some conditions.

Keywords

derivation, higher derivation, idempotent.