摘要:
设
![](https://image.hanspub.org/IMAGE/Edit_ad880d84-4996-4d14-befb-2af8bd0da6e4.jpg)
是一个三角环。我们称
![](https://image.hanspub.org/IMAGE/Edit_9ceda577-79c5-4312-bfeb-066248746911.jpg)
(无可加或连续假设)是一个Jordan可导映射,若对任意的
![](https://image.hanspub.org/IMAGE/Edit_965adae2-7e7a-4a69-9267-6850cb6719ae.jpg)
有
![](https://image.hanspub.org/IMAGE/Edit_45cb0fd1-66e4-435a-a487-47bfb33215b2.jpg)
。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
![](https://image.hanspub.org/IMAGE/Edit_ba4c4879-8fb8-4e38-a93c-09132276a6f9.jpg)
be a triangular ring. We say
![](https://image.hanspub.org/IMAGE/Edit_ea71fbc7-f591-4f75-803f-47a27828b53f.jpg)
is a Jordanderivable map if
![](https://image.hanspub.org/IMAGE/Edit_07eb68e7-feff-4c24-ba3a-1633c6111492.jpg)
for every
![](https://image.hanspub.org/IMAGE/Edit_1861491e-88b9-4b5a-a1dc-b566ee4b3709.jpg)
. 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.