零积三角矩阵代数

摘要

设A是域K上的含单位元的结合代数。证明了系数在代数A中的三角矩阵代数Tn（A），n≥2，总是一个零积代数。进而证明了代数A的对偶扩张代数和m－重复代数都是零积代数。%Letbe an associative algebra with identity over a field.We show that the triangular matrix algebra, , over algebrais always a zero product determined algebra.Therefore, we proved that the trivial extension ofand the m replication algebra ofare zero product determined.