Cohen-Macaulay Algebras and the Computation of their Invariants

科恩-麦考利代数及其不变量的计算

• 批准号: 8823059
• 负责人: Wolmer Vasconcelos
• 金额: $ 1.04万
• 依托单位: Rutgers University New Brunswick
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1989
• 资助国家: 美国
• 起止时间: 1989-09-15 至 1992-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8823059&HistoricalAwards=false
• 关键词: Cohen; Macaulay; Algebras; Computation; their

This award supports cooperative research in commutative algebra to be conducted by Wolmer Vasconcelos of Rutgers University and Aron Simis of the Federal University of Bahia in Brazil. They will study Cohen-Macaulay rings and modules which are connected with many parts of combinatorics, geometry and algebra. They will also compute the invariants of these algebras. Specifically, the work will aim at finding the solution to and detecting Cohen-Macaulay structure in systems of polynomial equations in large numbers of indeterminants. This has been a productive cooperation to date producing twelve papers so far. Therefore it is a good example of international collaboration with benefit to both sides.

该奖项支持罗格斯大学的Wolmer Vasconcelos和巴西巴伊亚联邦大学的Aron Simis在交换代数方面的合作研究。他们将学习与组合学、几何和代数的许多部分相关的科恩-麦考利环和模。他们也会计算这些代数的不变量。具体来说，这项工作将致力于在大量不定式的多项式方程系统中寻找和检测Cohen-Macaulay结构的解。这是一次富有成效的合作，迄今已发表了12篇论文。因此，这是国际合作的一个很好的例子，对双方都有利。