| 一类BCI-代数的结构 |
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| 引用本文： | 朱怡权. 一类BCI-代数的结构[J]. 黄冈师范学院学报, 1994, 0(1) |
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| 作者姓名： | 朱怡权 |
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| 作者单位： | Huanggang Teachers College，Huangzhou 436100 |
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| 摘 要： | 设〈X；*，0〉为一个BCI-代数，L（X）为X的所有原子的集合．本文将给出L（X）为X的理想的若干充要条件，从而回答了文[1]中提出的一个公开的问题．此外，还研究了在L（X）为X的理想时，X的分支结构以及X和X／L（X）的构造．
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| 关 键 词： | BCI-代数 原子 分支 保序映射 |
ON STRUCTURES OF A CLASS OF BCI-ALGEBRAS |
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| Zhu Yiquan. ON STRUCTURES OF A CLASS OF BCI-ALGEBRAS[J]. Journal of Huanggang Normal University, 1994, 0(1) |
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| Authors: | Zhu Yiquan |
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| Abstract: | Let X be a BCI-algebra, and let L(X) be the set of all atoms of X. In this paper, we first give some necessary and sufficient conditions for L(X) to be an ideal of X, and also give the answer to the open problem posed by M. Jie and X. X. Long in [1]. Next, we investigate the structures of X/L(X), X and the branches of X in case L(X) is an ideal of X. |
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| Keywords: | BCI-algebras Atoms Branches Maps keepping order |
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