| R0代数性质新探 |
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| 引用本文： | 常瑶芝. R0代数性质新探[J]. 忻州师范学院学报, 2003, 19(5): 34-35,44 |
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| 作者姓名： | 常瑶芝 |
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| 作者单位： | 陕西师范大学,陕西,西安,710062 |
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| 摘 要： | 在R0代数中定义了Boole元，得出Boole元的性质以及有限R0代数中Boole元的分布规律；研究了R0代数M的滤子和R0代数M作为有界分配格(记这个有界分配格为L(M))的滤子之间的关系，得出结论：L(M)的极小素滤子以及L(M)的Stone滤子都是M的滤子，并给出一个具体例子说明L(M)的滤子一般不必是M的滤子，比文献[3]中有关结论更进一步。
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| 关 键 词： | Boole元 R0代数 极小素滤子 Stone滤子 有界分配格 |
| 文章编号： | 1671-1491(2003)05-0034-02 |
Searching Again for the Property of R0 Algebra |
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| CHANG Yao-zhi. Searching Again for the Property of R0 Algebra[J]. Journal of Xinzhou Teachers University, 2003, 19(5): 34-35,44 |
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| Authors: | CHANG Yao-zhi |
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| Abstract: | Boole element in R 0 algebra is defined.The filter of R 0 algebra and the filter as the bounded distributive lattice are discussed.An example for showing that the filter of R 0 algebra as the bounded distributive lattice and the filter of R 0 algebra as the bouded distribut ive lattice and the filter of R 0 algebr are different is given.These results are deeper than the relative results in bibliography[3]. |
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| Keywords: | Boole element minimal prime filter stone filter |
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