| 具有条件(S)的BCK-代数的分解 |
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| 引用本文： | 黄益生,陈昭木.具有条件(S)的BCK-代数的分解[J].福建师范大学学报(自然科学版),1993(4). |
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| 作者姓名： | 黄益生 陈昭木 |
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| 作者单位： | 福建龙岩师专，福建师范大学 |
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| 摘 要： | 本文讨论了具有条件(S)的正关联BCK-代数关于。半群的分解问题,指出这种分解与一般理想分解是一致的,同时得到具有条件(S)的关联BCK-代数X的某些结构问题,如:X若有限,则|X|=2″;两个有限的具有条件(S)的关联BCK-代数同构当且仅当它们阶数相等。
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| 关 键 词： | BCK-代数 关联 正关联 条件(S) 直和 |
The Resolution of BCK-algebras with the Condition (S) |
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| Huang Yisheng.The Resolution of BCK-algebras with the Condition (S)[J].Journal of Fujian Teachers University(Natural Science),1993(4). |
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| Authors: | Huang Yisheng |
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| Institution: | Huang Yisheng(Fujian Longyan Teachers College) Chen Zhaomu(Fujian Normal University) |
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| Abstract: | This paper considers the resolution of semigroup with respect to ., which is induced by a positive implicative BCK-algebra with the condition (S) , and show that this resolution coincides with the resolution of ideals. Discuss implicative BCK-algebras with the condition (S) and obtain the following results: If X is a finite implicative BCK-aigebra, then |X|=2~n, if X and Y are two finite implicative BCK-algebras, then |X|=|Y| if and only if they are isomorphic. |
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| Keywords: | BCK-algebra implicative positive implicative condition (S) direct sum |
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