Volume no :8, Issue no: 1, March (2011)

Journal of Mathematical Sciences: Advances and Applications

LIE TRIPLE DERIVATIONS ON UPPER TRIANGULAR MATRICES

Author's: Yunhe Chen
Pages: [43] - [52]
Received Date: March 31, 2011, Revised April 12, 2011
Submitted by:

Abstract

Let be a commutative unital ring with a 2-torsion free unital -bimodule Let and be the sets of all upper triangular matrices over and respectively. We show that every Lie triple derivation is a sum of a derivation and a linear map having its range in the center of

Keywords

triangular matrix algebra, Lie triple derivation, derivation.