All-derivable points in matrix algebras

作者：Zhu Jun^*; Xiong Changping; Zhang Lin

来源：Linear Algebra and Its Applications, 2009, 430(8-9): 2070-2079.

DOI：10.1016/j.laa.2008.11.011

• Derivation
• n x n matrix algebra
• All-derivable point
• Derivable mapping

Let M(n) be the algebra of all n x n matrices. We say that an element G is an element of M(n) is an all-derivable point in M(n) if every derivable linear mapping phi at G (i.e. phi(ST) = phi(S)T S phi(T) for any S, T is an element of M(n) with ST = G) is a derivation. We mainly show in this paper that a matrix G is an all-derivable point in M(n) if and only if G not equal 0.

• 出版日期2009-4-15
• 单位杭州电子科技大学