三角环上的Jordan可导映射

Jordan Derivable Maps on Triangular Rings

设是一个三角环。我们称(无可加或连续假设)是一个Jordan可导映射,若对任意的有。本文我们证明了三角环上的Jordan可导映射是导子。利用此结论我们得到不可约CDCSL代数上或套代数上的每个Jordan可导映射是导子。

Let be a triangular ring. We say is a Jordanderivable map if for every . In this paper, we show that everyJordanderivable map on triangular rings is a derivation. As its application, we get aJordanderivable map on irreducible CDCSL algebras or nest algebra is a derivation.