完全幂等代数  

ON COMPLETELY IDEMPOTENT ALGEBRA

作　　者：王自全[1] 

机构地区：[1]四川轻化工学院基础部

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

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.

关 键 词：完全幂等代数 布尔代数 

分 类 号：O153[理学—数学]