| 完全幂等代数 |
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| 引用本文： | 王自全. 完全幂等代数[J]. 四川理工学院学报(自然科学版), 1995, 0(3) |
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| 作者姓名： | 王自全 |
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| 作者单位： | 四川轻化工学院基础部 |
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| 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。
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| 关 键 词： | 完全幂等代数；局部幂零性；∑表示有限和；L－半单，布尔代数 |
ON COMPLETELY IDEMPOTENT ALGEBRA |
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| Wang Ziquan. ON COMPLETELY IDEMPOTENT ALGEBRA[J]. Journal of Sichuan University of Science & Engineering(Natural Science Editton), 1995, 0(3) |
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| Authors: | Wang Ziquan |
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| Affiliation: | Dept. of Bas. Course Sichuan Institute of Light Ind. & Chem. Tech. Zigong 643033 |
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| Abstract: | 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. |
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| Keywords: | completely idempotent algebra local nilpotcnt ∑ stands for finite sum L-semisimple Boolean algebra |
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