| BCI—代数的结合理想和广义结合理想 |
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| 引用本文： | 朱怡权.BCI—代数的结合理想和广义结合理想[J].黄冈师范学院学报,1990(3). |
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| 作者姓名： | 朱怡权 |
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| 作者单位： | 黄冈师专数学科 |
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| 摘 要： | 本文引进了BCI-代数的换位理想这一概念.借此对BCI-代数的结合理想作了进一步的研究,得到了理想成为结合理想的若干充要条件.同时,本文还推广了结合理想的概念,建立了BCI-代数的广义结合理想的概念.讨论了它的若干重要特征,进而用理想刻画了广义结合BCI-代数.
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| 关 键 词： | 结合BCI-代数 广义结合BCI-代数 结合理想 换位理想 广义结合理想 |
ON THE ASSOCIATIVE IDEALS AND GENERALIZED ASSOCIATIVE IDEALS IN BCI-ALGEBRAS |
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| Zhu Yiquan.ON THE ASSOCIATIVE IDEALS AND GENERALIZED ASSOCIATIVE IDEALS IN BCI-ALGEBRAS[J].Journal of Huanggang Normal University,1990(3). |
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| Authors: | Zhu Yiquan |
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| Abstract: | In this paper,we have introduced the notion of the commutator ideal of a BCI-algebra,discussed its some basic properties,and obtained some necessary and sufficient conditions for an ideal to be associative. Moreover,we have established the concept of the generalized associative ideals in a BCI-algebra and their some prop-erties,and presented the characterization of the class of all generalized associative BCI-algebra through its ideals. |
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| Keywords: | associative BCI-algebras generalized associative BCI-algebras associative ideals commutator idcals generalized associative ideals |
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