形式幂级数环的表现维数

基金项目:

国家自然科学基金资助项目(11271119)

北京市自然科学基金资助项目(1122002)

详细信息

Presented Dimensions of Formal Power Series Rings

College of Applied Sciences,Beijing University of Technology, Beijing 100124, China

摘要: 为了研究形式幂级数环的表现维数,基于对环与模的有限表现维数的研究,运用同调代数上的理论与方法,得到了R、R[[x]]为凝聚环时,模的表现维数之间的关系以及环的表现维数之间的关系等结论.
- 形式幂级数环 /
- 表现维数 /
- 凝聚环
Abstract: Based on the research of finitely presented dimensions of modules and rings and by using the theory and method of homological algebra,presented dimensions of formal power series rings were described,and the relationship was obtained between presented dimensions of modules as well as between presented dimensions of rings when R, R[[x]]are coherent rings.
- formal power series ring /
- presented dimension /
- coherent ring