摘要
本文首先得出哉Ｆ上有单位元无零因子交换完全幂等代数Ａ是Ｆ的扩域的结论，给出域Ｆ上二维完全幂等代数的结构；其次给出域Ｆ上有单位元交换代数是完全幂等代数的一个刻化，并且得出域Ｆ上的完全幂等代数是Ｌ－半单的结果。
It is obtained that the commutative completely idempotent algebra which has unit element and no zero factor is a extension field on F.The structure of two dimension completely idempotent algebra is given out.A characterization is gained that a commutative algebra with unit element is completely idempotent algebra .Completely idempotent algebras are L-semisimple.
出处
《四川轻化工学院学报》
1995年第3期58-62,共5页
Journal of Sichuan Institute of Light Industry and Chemical Technology
关键词
完全幂等代数
布尔代数
completely idempotent algebra
local nilpotcnt
∑ stands for finite sum
L-semisimple
Boolean algebra
