中文摘要：

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.

英文摘要：

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.