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。
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.