Mathematical Sciences: Group Theory and Commutative Algebra

数学科学：群论和交换代数

• 批准号: 8802181
• 负责人: Hyman Bass
• 金额: $ 23.77万
• 依托单位: Columbia University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1988
• 资助国家: 美国
• 起止时间: 1988-07-01 至 1991-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8802181&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Group; Theory; Commutative

This project is concerned with various problems in ring theory. The principal investigator will investigate the Jacobian Conjecture using differential operators, a general theory of lattices and cocompact lattices in the automorphism groups of simplicial trees, and an elaboration of Asamura's theorem in algebras with polynomial fibres. In conjunction with a postdoctoral associate, the principal investigator will work on a structure theory for groups acting freely on R-trees.

本课题涉及环理论中的各种问题。首席研究员将研究使用微分算子的雅可比猜想，简单树自同构群中的格和紧格的一般理论，以及具有多项式纤维的代数中的Asamura定理的阐述。首席研究员将与一名博士后合作，研究在r树上自由作用的群的结构理论。