摘要:
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。
Abstract: 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.