| 偏序半群中的最小滤子 |
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| 引用本文： | 周含策. 偏序半群中的最小滤子[J]. 西北大学学报(自然科学版), 2000, 30(1): 4-6 |
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| 作者姓名： | 周含策 |
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| 作者单位： | 西北大学数学系!陕西西安710069 |
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| 摘 要： | 给出了偏序半群中最小滤子的构造 ,以及几种特殊的偏序半群 ,其中的最小滤子有简单的形式 ,给出了偏序半群上最小半格同余 n与最小正则半格同余 N相等的一个充分必要条件 ,并提出一个问题 ,即 Nm( x) =Nm( x)是否为 n =N的必要条件
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| 关 键 词： | 偏序半群 最小滤子 最小半格同余 |
| 修稿时间： | 1998-09-24 |
The least filters in po-semigroups |
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| ZHOU Han-ce. The least filters in po-semigroups[J]. Journal of Northwest University(Natural Science Edition), 2000, 30(1): 4-6 |
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| Authors: | ZHOU Han-ce |
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| Abstract: | The structure of the least filters in po semigroups was given, So were some special kinds of po semigroups, in which the least filters have simple forms. A necessary and sufficient condition was proved for a po semigroup to have the property that its least semilattice congruence n and its least regular semilattice congruence N coincide. A question was posed, i.e., is N m(x)= m(x) necessary for n=N? |
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| Keywords: | po-semigroups filters least filters the least semilattice congruence the least regular semilattice congruence |
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