| BCK—代数中理想的分解的几个注记 |
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| 引用本文： | 杨闻起.BCK—代数中理想的分解的几个注记[J].宝鸡文理学院学报(社会科学版),1992(1). |
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| 作者姓名： | 杨闻起 |
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| 作者单位： | 宝鸡师范学院数学系 |
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| 摘 要： | 本文在J.Shsan与M.palasinski得到的关于BCK下半格中理想的既约分解与质分解的基础上,又得到了如下新结论;1.BCK—代数(不要求是下半格)的每个理想均可表示为一些既约理想的交。2.满足理想的降链条件的BCK—代数中,每个理想均有既约分解。3.满足理想的降链条件的BCK—下半格中,每个理想均有极小质分解且这种分解是唯一的。并且,以上结论亦可移植到对偶理想上。
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| 关 键 词： | 理想 既约理想 质理想 对偶理想 |
SOME NOTES OF DECOMPOSITION OF IDEAL IN BCK-ALGEBRA |
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| Yang Wenqi.SOME NOTES OF DECOMPOSITION OF IDEAL IN BCK-ALGEBRA[J].Journal of Baoji College of Arts and Science(Social Science Edition),1992(1). |
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| Authors: | Yang Wenqi |
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| Institution: | Department of Mathematics |
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| Abstract: | In this paper,We obtain the follow new results of decomposition of ideal in BCK-algebra: 1. Let (X, *, 0) be BCK-algebra, then every ideal can be written as a cross of some reduced ideals of X. 2. Let(X, *, 0)be BCK-algebra with dcc of idead. then every ideal has reduced decomposition 3. Let (X, *, 0)be BCK-lower lattice with DCC of ideal, then every ideal has minimal prime decomposition and be uniqul. |
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| Keywords: | Ideal Reduced ideal prime ideal |
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