余代数的Krull维数  

Krull Dimension of Coalgebras

作　　者：姚海楼[1] 范维丽[1] 平艳茹[1] YAO Hailou;FAN Weili;PING Yanru(College of Applied Sciences, Beijing University of Technology, Beijing 100124, China)

机构地区：[1]北京工业大学应用数理学院,北京100124

出　　处：《北京工业大学学报》2016年第8期1265-1269,共5页Journal of Beijing University of Technology

基　　金：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)

摘　　要：为了研究余代数的结构,基于素子余代数引进了余代数Krull维数概念,通过局部化方法对其进行了研究,得到一些有关Krull维数的等式与不等式,从而为余代数的研究提供了有用的工具.To study the structures of coalgebras, the notion of Krull dimension of coalgebras based onprime subcoalgebras was introduced. Research on it by means of localization was made and someequalities and inequalities on Krull dimensions were obtained, then provide useful tools for studying ofcoalgebras.

关 键 词：余代数 余模 素余代数 Krull 维数 诺特余代数 

分 类 号：O153.3[理学—数学]