| 关于格中的大元与小元 |
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| 引用本文： | 平艳茹,姚海楼.关于格中的大元与小元[J].河北大学学报(自然科学版),1995(2). |
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| 作者姓名： | 平艳茹 姚海楼 |
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| 作者单位： | College of Economics，Heibei University，Baoding 071002 |
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| 摘 要： | 本文在具有单位元和零元的格内引入了大（小）元概念，研究了其基本性质；在序元的定义下，给出了在某种条件下，大（小）元的特征；最后探讨了大元与极小元（即原子）以及小元与极大元（即对偶原子）的关系。
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| 关 键 词： | 大（小）元，序元，交（并）叵约元 |
On the Large(Small)Elements of Lattices |
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| Ping Yanru Yao Hailou.On the Large(Small)Elements of Lattices[J].Journal of Hebei University (Natural Science Edition),1995(2). |
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| Authors: | Ping Yanru Yao Hailou |
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| Abstract: | In this paper, the concept of large(small)elements in a Lattice with theunit and the zero is introduced,and the elementary properties and the characteristics ofLarge(small)elements under certain conditions are studied.Finally,the relationshipsbetween large(small)elements and atoms(dual atoms)are given. |
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| Keywords: | Large(small)element Ordered element Meet(Join)irreducible element |
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