| 偏序半环上的半拟序格 |
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| 引用本文： | 邵海琴,何万生,郭莉琴,杨随意.偏序半环上的半拟序格[J].延安大学学报(自然科学版),2010,29(4):12-14,17. |
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| 作者姓名： | 邵海琴 何万生 郭莉琴 杨随意 |
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| 作者单位： | 天水师范学院数学与统计学院,甘肃天水741006 |
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| 摘 要： | 给出了偏序半环的半拟序集构成的格,证明了它是完备的分配格,并讨论了偏序半环的两个特殊的半拟序格,即拟序集构成的格与楄序集构成的格的关系。
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| 关 键 词： | 偏序半环 半拟序 完备格 分配格 序同构 |
The Lattice on Semi-pseudoorder of Partially Ordered Semirings |
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| SHAO Hai-qin,HE Wan-sheng,GUO Li-qin,YANG Sui-yi.The Lattice on Semi-pseudoorder of Partially Ordered Semirings[J].Journal of Yan'an University(Natural Science Edition),2010,29(4):12-14,17. |
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| Authors: | SHAO Hai-qin HE Wan-sheng GUO Li-qin YANG Sui-yi |
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| Institution: | (School of Mathematics and Statistics Institute,Tianshui Normal University,Tianshui 741001,China) |
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| Abstract: | In this paper,the lattice on semi—pseudoorder set SPO（R） of partially ordered semirings is given,it is proved that（SPO（R）,∧,∨）is complete distributive lattice,and the relation on the lattice of pseudoordered set and the lattice of partially ordered set of partially ordered semirings is discussed. |
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| Keywords: | Partially ordered semirings semi—pseudoorder complete lattice distributive lattice order isomorphism |
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