Noetherian algebras and their modules

诺特代数及其模

• 批准号: 2609472
• 金额: --
• 依托单位: University of Sheffield
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2021
• 资助国家: 英国
• 起止时间: 2021 至 无数据
• 项目状态: 未结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2609472
• 关键词: Noetherian; algebras; their; modules

The aim is to study some important classes of noncommutative Noetherian infinite dimensional algebras that have connection with Physics. Classify their prime, completely prime, minimal and maximal spectra. To produce classes of simple modules. Select and study subclasses that are close to PI-rings and study their properties. To calculate their Krull, global and Krull dimensions. To study their left quotients rings. To develop new techniques to tackle the above mentioned problems.

目的是研究与物理学有关的几类重要的非交换Noether无穷维代数。对它们的素谱、完全素谱、极小谱和极大谱进行分类。生成简单模块的类。选择和研究与PI-环接近的子类，并研究它们的性质。计算它们的Krull维数、整体维数和Krull维数。去研究它们的左冠环。开发新技术来解决上述问题。