The main conclusion of Kac Theorem is the correspondence between the set of the dimension vectors of indecomposable representations of a graph and the set of positive roots of the matrix associated to the graph. 图的不可分解表示的维数向量与由图所对应的矩阵定义的正根系之间的对应是Kac定理反映的主要内容。
The one-to-one correspondence between all indecomposable representations of A_ n-path algebras and all indecomposable matrices of the corresponding A_n-linear matrix problems is obtained, and all the canonical forms of indecomposable matrices of them are also determined explicitly. 给出了An-型路代数的所有不可分解表示与其对应的An-型线性矩阵问题的所有不可分解矩阵之间的一一对应,以及这些不可分解矩阵的典范形。
Quasi-Indecomposable Diagonal-Dominant Matrix and M-Matrix 拟不可约对角占优矩阵和M矩阵