余代数上余倾斜余模的结构

Characterization of Cotilting Comodules

研究了余代数上余倾斜余模的结构特征,证明了每个余倾斜余模都可以写成不可分解的两两非同构的余模的直和形式,每个余倾斜余模包含所有的内射不可分解模作为直和项.最后构造了余倾斜余模的两个例子.

We discuss the characterization of cotilting comodule and prove that every cotilting comodule is a direct sum of indecomposable and pairwise non-isomorphic comodules, then prove every cotilting comodule contains all injective indecomposables as direct summands. Using the knowledge of quiver and the path coalgebra, Finally, give some examples of cotilting comodule for coalgebras.