A characterization of triangularizability of a linear associative algebra

作者:Huang; WX
来源:Linear Algebra and Its Applications, 1999, 299(1-3): 165-169.
DOI:10.1016/S0024-3795(99)00178-0

摘要

Let A be a linear associative K-algebra with unity, K an algebraically closed field. The following is proved: A is triangularizable if and only if the set of (multiplicative) nonunits of A is a union of finitely many subspaces of A.