标题:
三角环上的Jordan可导映射Jordan Derivable Maps on Triangular Rings
作者:
张慧愿, 薛春慧, 安润玲
关键字:
Jordan导子, CDCSL代数, 三角环, 套代数Jordan Derivation; CDCSL Algebras; Triangular Rings; Nest Algebras
期刊名称:
《Pure Mathematics》, Vol.3 No.1, 2013-01-28
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。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.