| BCI—代数中的几个结论 |
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| 引用本文： | 任运平. BCI—代数中的几个结论[J]. 山西师范大学学报：自然科学版, 1997, 11(2): 1-4 |
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| 作者姓名： | 任运平 |
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| 作者单位： | 运城高专数学系 |
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| 摘 要： | 本文对BCI-代数一书中提出的二个未解决的问题:(1)是否存在一个局部完备的真BCH-代数而不是完备的BCH-代数;(2)是否存在极不BCI的BCH-代数给出了答案,同时得到一个结论:对在(2)中所讨论的有限BCI-代数,均是奇诣零代数。
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| 关 键 词： | 局部完备 极不BCI的BCH-代数 循环 奇诣零代数 |
A Few Conclusion of BCI-Algebra |
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| Ren Yunping. A Few Conclusion of BCI-Algebra[J]. Journal of Shanxi Teachers University, 1997, 11(2): 1-4 |
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| Authors: | Ren Yunping |
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| Affiliation: | Ren Yunping |
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| Abstract: | This paper has supplied the answer to the two unsolved problems mentioned in BCI-Algebra namely:(1) Does it exist that there is a genuine locally-completed BCH-Algebra in stead of a complete one;(2) Does it exist that there is an extremely not BCI-Subodinate to BCH-Algebra. As a result, it is the conclusion that the finite BCI-Algebra discussed in (2) is nothing but odd Nil-radical. |
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| Keywords: | Locally complete Extremely not BCI-Subordinate to BCH-Algebra Cycle Odd Nil-radical |
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