Mathematical Sciences: Decompositions of Cohen Macaulay Modules

数学科学：科恩·麦考利模的分解

• 批准号: 9009057
• 负责人: Sylvia Wiegand
• 金额: $ 0.77万
• 依托单位: University of Nebraska-Lincoln
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1990
• 资助国家: 美国
• 起止时间: 1990-09-01 至 1992-02-29
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9009057&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Decompositions; Cohen; Macaulay

This research is concerned with two problems in commutative algebra. The principal investigator will analyze the direct-sum decompositions of Cohen-Macaulay modules. She will also study the structure of the partially ordered set of prime ideals in a noetherian ring and the influence of this poset on the direct-sum behavior of modules over the ring. Commutative rings are algebraic structures possessing a commutative addition and a commutative multiplication. These structures occur throughout mathematics and algebra. Common examples include polynomial rings and rings of algebraic integers in extension fields of the rationals. This project is concerned with several questions concerning commutative rings.

本研究涉及交换中的两个问题 代数首席研究员将分析直接和 Cohen-Macaulay模的分解她还将研究 半序素理想集的结构 Noether环及其偏序集对直和的影响 环上模的行为 交换环是一种代数结构， 交换加法和交换乘法。这些 结构贯穿数学和代数。共同 例子包括多项式环和代数整数环 在有理数的扩张域中。该项目涉及 关于交换环的几个问题