| 商序同构、偏序同构与格同构 |
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| 引用本文： | 邵海琴,何万生,何建伟,郭莉琴.商序同构、偏序同构与格同构[J].宁夏师范学院学报,2013(6):26-29,50. |
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| 作者姓名： | 邵海琴 何万生 何建伟 郭莉琴 |
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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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| 基金项目： | 甘肃省教育厅科研项目（0908-07）;甘肃省自然科学基金项目（096RJZE106）. |
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| 摘 要： | 引入了商序映射、商序满（单）射与商序同构的概念,得到了商序映射与商序同构的一些重要性质,给出了商序映射是商序同构的条件,并讨论了商序同构、偏序同构与格同构的关系.
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| 关 键 词： | 商序映射 商序同构 偏序同构 格同构 链 |
Quotient Ordered Isomorphism,Partially Ordered Isomorphism and Lattice Isomorphism |
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| Institution: | SHAO Haiqin, HE Wansheng, HE Jianwei, (School of Mathematics and Statistics Institute, Tianshui Normal University, Tianshui (hru 741001 ) |
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| Abstract: | This paper introduces notions of quotient ordered map, quotient ordered surjection（injection） and quotient ordered isomorphism, some important properties on quotient ordered map and quotient ordered isomorphism are obtained. It also gives some conditions with which the quotient ordered map is quotient ordered isomorphism. The relations between quotient ordered isomor- phism, partially ordered isomorphism and lattice isomorphism are also discussed. |
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| Keywords: | Quotient ordered map Quotient ordered isomorphism Partially ordered isomoq3hism Lattice isomorphism Chain |
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