首先给出了Jordan三元系的次理想的定义与Jordan三元系的次理想的几条简单性质,举例说明了次理想与理想是2个不同的概念.然后,对一类重要的Jordan三元系--正则Jordan三元系,证明了它的次理想成为理想的几个充分条件.
In this article,after giving some suitable concepts and elementary properties of subideals of a Jordan triple system,the authors show that any regular subideal of a Jordan triple system is a regular ideal,and further,any subideal of a regular Jordan triple system is a regular ideal.
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