| 格论思想的产生和发展探析 |
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| 引用本文： | 王淑红,;邓明立.格论思想的产生和发展探析[J].科学技术与辩证法,2014(5):92-97. |
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| 作者姓名： | 王淑红 ;邓明立 |
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| 作者单位： | [1]河北师范大学数学与信息科学学院,石家庄050024; [2]西北大学数学与科学史研究中心,西安710127 |
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| 基金项目： | 国家自然科学基金资助项目（11271108;11401161）;河北师范大学重点项目（L2013203） |
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| 摘 要： | 格论是结构数学的重要组成部分，是结构数学研究的典型范例，溯源于戴德金的对偶群，后经奥尔的发展成为抽象数学结构。但它在诞生伊始并未如群、环、域等代数结构那样受到重视，其历史研究也很薄弱。伴随近年来格论的自身发展及其应用的逐步展开，其历史研究价值渐趋凸显。通过对格论的早期历史进行探源和分析，试图厘清格论早期发展的思想线索，为结构数学的研究提供新的素材和思想。
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| 关 键 词： | 对偶群 格 戴德金 奥尔 数学结构 |
Emergence and Development of the Thought of Lattice Theory |
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| Institution: | WANG Shu - hong, DENG Ming - li( 1. The College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050024, China ; 2. Centre for the History of Mathematics and Science, Northwest University, Xi＇ an 710127, China) |
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| Abstract: | As an important part of structural mathematics, lattice theory is a typical example of historical study of structural mathematics. It mainly originated from R. Dedekind＇ s dual group, and developed into a mathematical structure after O. Ore. But at the beginning, it wasn＇ t so significant as group, ring, field and other algebraic struc- tures, so its historical study was very weak. With its development and application in recent years, its value of histori- cal research is highlighted. Based on the early history of lattice theory, this paper outlines its development, and pro- vides valuable materials and thoughts for the study of structure mathematics. |
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| Keywords: | dual group lattice R Dedekind 0 Ore mathematical structure |
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