| 有限BCK-代数子代数个数估计定理 |
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| 引用本文： | 姜豪. 有限BCK-代数子代数个数估计定理[J]. 浙江大学学报(理学版), 1986, 13(1): 6-11 |
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| 作者姓名： | 姜豪 |
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| 摘 要： | 设X是一个n阶BCK-代数,我们用N(i)来表示X中i阶子代数的个数,其中1≤i≤n.本文的目的是证明有限BCK-代数子代数个数估计定理. 定理 设X是n(≥1)阶BCK-代数,则,i=1,2,…,n. 关于BCK-代数的定义和基本性质可参阅文献[1]和[2].为了引用的方便,我们列出一个BCK-代数必须满足的五条公理:
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A Theorem on the Estimation of the Number of Subalgebras in a Finite BCK-Algebra |
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| Jiang Hao. A Theorem on the Estimation of the Number of Subalgebras in a Finite BCK-Algebra[J]. Journal of Zhejiang University(Sciences Edition), 1986, 13(1): 6-11 |
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| Authors: | Jiang Hao |
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| Abstract: | Let X be a BCK-algebra of order n. We denote the number of subal-gebras of order i in X by N(i). In this paper we prove the following theorem which estimates the number of subalgebras in a finite BCK-algebra.Theorem. Let X be a BCK-algebra of order n. Then we have |
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| Keywords: | finite BCK-algebra number of subalgebras |
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