Indecomposability and the number of links  

作　　者：徐运阁 张英伯 

出　　处：《Science China Mathematics》2001年第12期1515-1522,共8页中国科学：数学（英文版）

基　　金：the National Natural Science Foundation of China (Grant No. 19831070) and the Doctoral Foundation of Institution of Higher Education.

摘　　要：Let (?, ?) be a linear matrix problem induced from a finite dimensional algebra ∧. Then an? ×? matrix M in R(?, ?) is indecomposable if and only if the number of links in the canonical formM (∞) of M is equal to. ?-dim? ? 1. On the other hand, the dimension of the endomorphism ring of M is equal to ?-dim? ? σ(M).Let (K, M) be a linear matrix problem induced from a finite dimensional algebra Λ. Then an n×n matrix M in R(K, M) is indecomposable if and only if the number of links in the canonical form M(∞) of M is equal to M-dimn-1. On the other hand, the dimension of the endomorphism ring of M is equal to K-dimn-σ(M).

关 键 词：linear matrix problem canonical form INDECOMPOSABILITY LINK endomorphism ring 

分 类 号：O153[理学—数学]