Mathematical Sciences: Topological Algebra and Applications

数学科学：拓扑代数及其应用

• 批准号: 8800580
• 负责人: Jimmie Lawson
• 金额: $ 4.6万
• 依托单位: Louisiana State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1988
• 资助国家: 美国
• 起止时间: 1988-07-01 至 1991-03-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8800580&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Topological; Algebra; Applications

The goal of this project is to carry out mathematical research in topological algebra at points of contact with other mathematical and non-mathematical disciplines, e.g. control theory. The first area of investigation centers on the Lie theory of semigroups, particularly connections of the theory with problems of local and global controllability on a Lie group. Another class of problems concerns questions related to semigroup analogs of Hilbert's fifth problem. The second area of investigation concerns continuous lattice and topological semilattice theory and connections with the theory of computation.

该项目的目标是进行数学 拓扑代数的研究 数学和非数学学科，如控制 理论 研究的第一个领域集中在 半群，特别是理论与问题的联系 李群上的局部和全局可控性 另一 一类问题涉及与半群类似物有关的问题 希尔伯特的第五个问题 第二个研究领域涉及连续格 和拓扑半格理论以及与 计算理论