| 可换全序群的极大上下对 |
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| 引用本文： | 郑熙强. 可换全序群的极大上下对[J]. 东北数学, 2000, 16(4): 445-450 |
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| 作者姓名： | 郑熙强 |
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| 作者单位： | Basic Course Departmemt，Nanchang Institute of Aeronautical Technology，Nanchang，330034 |
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| 基金项目： | heNSF (1 9661 0 0 2 )ofChinaandNSF (9871 0 831 )ofJiangxiProvince |
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| 摘 要： | ＬｅｔＧｂｅａｎａｂｅｌｉａｎｏ ｇｒｏｕｐ (ｓｅｅ[1 ] )ｔｈｒｏｕｇｈｏｕｔａｎｄａ ,ｂ∈Ｇ .Ｉｆａ =0ｏｒ ｂ ａ ,ｔｈｅｎｗｅｓａｙｔｈａｔａｌｉｅｓａｂｏｖｅｂｏｒｂｌｉｅｓｂｅｌｏｗａ .ＬｅｔＡ ,ＢｂｅｔｗｏｓｕｂｇｒｏｕｐｓｏｆＧ .ＩｆｅａｃｈｅｌｅｍｅｎｔｏｆＡｌｉｅｓａｂｏｖｅａｌｌｅｌｅｍｅｎｔｓｏｆＢ ,ｔｈｅｎｗｅｓａｙｔｈａｔＡｌｉｅｓａｂｏｖｅＢｏｒＢｌｉｅｓｂｅｌｏｗＡ .ＩｆＡｉｓｍａｘｉｍａｌａｍｏｎｇｔｈｏｓｅｓｕｂｇｒｏｕｐｓｔｈａｔｌｉｅａｂｏｖｅＢ ,ｔｈｅｎｗｅ…
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| 关 键 词： | 可换全序群 极大上下对 阿贝尔群 |
Maximal Above and Below Pairs of Abelian Fully Ordered Groups |
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| ZHENG Xi qiang. Maximal Above and Below Pairs of Abelian Fully Ordered Groups[J]. Northeastern Mathematical Journal, 2000, 16(4): 445-450 |
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| Authors: | ZHENG Xi qiang |
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| Abstract: | In this paper, maximal above and below pairs of fully ordered groups (o groups) are studied. It is shown that maximal above and below pairs of an divisible abelian o group have some specific properties, and by using these properties another embedding method of an abelian o group to real valued functions is discussed. |
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| Keywords: | ordered group convex subgroup above and below subgroup |
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