Article ID Journal Published Year Pages File Type
4602765 Linear Algebra and its Applications 2008 15 Pages PDF
Abstract

Let TMn be the algebra of all n×n upper triangular matrices. We say that an element G∈TMn is an all-derivable point of TMn if every derivable linear mapping φ at G (i.e. φ(ST)=φ(S)T+Sφ(T) for any S,T∈TMn with ST=G) is a derivation. In this paper we show that G∈TMn is an all derivable point of TMn if and only if G≠0.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory